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Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson

Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

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Dissertations for Mathematics Education

Abel, brian b., the impact of a computer based math instruction program on fifth grade student academic performance on the texas assessment of knowledge and skills in one school district, abramowitz, sarah knapp, a computer-enhanced course in descriptive statistics at the college level: an analysis of student achievement and attitudes, abrego, patricia c., perceptions of campus administrators, teachers, and students on use of interactive videoconferencing for the delivery of high school algebra in selected rural public high schools in south texas, adams, marietta smith, gender differences in the complexity of virtual lego block designs of kindergarten students, adamy, peter hilton, an analysis of factors that influence technology integration by math teacher educators, adleman, kathleen a., problem-solving strategies of young children working on a combinatorics task in a computer environment, adolphson, keith victor, mathematical embodiment through robotics activities, aguilar, darla jean, calculator use in developmental mathematics in a community college, ahn, doehee, an exploratory study into the development of cognitive and metacognitive processes in mathematics problem-solving via computer, aldred, keith gregson, the effects of contextualized technical courses, where mathematics is embedded, situated, and generative, on the mathematics achievement of high school students, alexander, melina, evaluation of mathematics methods online: planning knowledge, classroom applications, and pupil outcomes, alghazo, iman mohammad, a study of the technology competencies of preservice secondary mathematics teachers, al-harthi, hamood k., student-faculty power/knowledge relations: the implications of the internet in mathematics education and social studies education programs at sultan qaboos university, allanson, patricia elizabeth, social mathworking: the effects of online reflection on algebra i students' sense of community and perceived learning, allen, roseann p., algebraic functions in a graphing technology environment: student performance after small group work using teacher-generated versus student-generated examples, allison, tracy michelle hunter, the impact of classroom performance system-based instruction with peer instruction upon student achievement and motivation in eighth grade math students, almekbel, abdullah s. m., the impact of a teacher enhancement program on 7th through 12th grade mathematics instruction with regard to curriculum, technology, and assessment, alshehri, khaled abdullah, the influence of mathematics teachers' knowledge in technology, pedagogy and content (tpack) on their teaching effectiveness in saudi public schools, alzahrani, khalid s., the attitudes of high school mathematics teachers in jeddah, saudi arabia, toward using calculators in teaching mathematics, the effect of incorporating geometer's sketchpad in a high school geometry course to improve conceptual understanding, inductive reasoning, and motivation, sign in or register, sign in using email & password.

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181 Mathematics Research Topics From PhD Experts

If you are reading this blog post, it means you are looking for some exceptional math research topics. You want them to be original, unique even. If you manage to find topics like this, you can be sure your professor will give you a top grade (if you write a decent paper, that is). The good news is that you have arrived at just the right place – at the right time. We have just finished updating our list of topics, so you will find plenty of original ideas right on this page. All our topics are 100 percent free to use as you see fit. You can reword them and you don’t need to give us any credit.

And remember: if you need assistance from a professional, don’t hesitate to reach out to us. We are not just the best place for math research topics for high school students; we are also the number one choice for students looking for top-notch research paper writing services.

Our Newest Research Topics in Math

We know you probably want the best and most recent research topics in math. You want your paper to stand out from all the rest. After all, this is the best way to get some bonus points from your professor. On top of this, finding some great topics for your next paper makes it easier for you to write the essay. As long as you know at least something about the topic, you’ll find that writing a great paper or buy phd thesis isn’t as difficult as you previously thought.

So, without further ado, here are the 181 brand new topics for your next math research paper:

Cool Math Topics to Research

Are you looking for some cool math topics to research? We have a list of original topics for your right here. Pick the one you like and start writing now:

• Roll two dice and calculate a probability
• Discuss ancient Greek mathematics
• Is math really important in school?
• Discuss the binomial theorem
• The math behind encryption
• Game theory and its real-life applications
• Analyze the Bernoulli scheme
• What are holomorphic functions and how do they work?
• Describe big numbers
• Solving the Tower of Hanoi problem

Undergraduate Math Research Topics

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics:

• Methods to count discrete objects
• The origins of Greek symbols in mathematics
• Methods to solve simultaneous equations
• Real-world applications of the theorem of Pythagoras
• Discuss the limits of diffusion
• Use math to analyze the abortion data in the UK over the last 100 years
• Discuss the Knot theory
• Analyze predictive models (take meteorology as an example)
• In-depth analysis of the Monte Carlo methods for inverse problems
• Squares vs. rectangles (compare and contrast)

Number Theory Topics to Research

Interested in writing about number theory? It is not an easy subject to discuss, we know. However, we are sure you will appreciate these number theory topics:

• Discuss the greatest common divisor
• Explain the extended Euclidean algorithm
• What are RSA numbers?
• Discuss Bézout’s lemma
• In-depth analysis of the square-free polynomial
• Discuss the Stern-Brocot tree
• Analyze Fermat’s little theorem
• What is a discrete logarithm?
• Gauss’s lemma in number theory
• Analyze the Pentagonal number theorem

Math Research Topics for High School

High school students shouldn’t be too worried about their math papers because we have some unique, and quite interesting, math research topics for high school right here:

• Discuss Brun’s constant
• An in-depth look at the Brahmagupta–Fibonacci identity
• What is derivative algebra?
• Describe the Symmetric Boolean function
• Discuss orders of approximation in limits
• Solving Regiomontanus’ angle maximization problem
• What is a Quadratic integral?
• Define and describe complementary angles
• Analyze the incircle and excircles of a triangle
• Analyze the Bolyai–Gerwien theorem in geometry
• Math in our everyday life

Complex Math Topics

If you want to give some complex math topics a try, we have the best examples below. Remember, these topics should only be attempted by students who are proficient in mathematics:

• Mathematics and its appliance in Artificial Intelligence
• Try to solve an unsolved problem in math
• Discuss Kolmogorov’s zero-one law
• What is a discrete random variable?
• Analyze the Hewitt–Savage zero-one law
• What is a transferable belief model?
• Discuss 3 major mathematical theorems
• Describe and analyze the Dempster-Shafer theory
• An in-depth analysis of a continuous stochastic process
• Identify and analyze Gauss-Markov processes

Easy Math Research Paper Topics

Perhaps you don’t want to spend too much time working on your next research paper. Who can blame you? Check out these easy math research paper topics:

• Define the hyperbola
• Do we need to use a calculator during math class?
• The binomial theorem and its real-world applications
• What is a parabola in geometry?
• How do you calculate the slope of a curve?
• Define the Jacobian matrix
• Solving matrix problems effectively
• Why do we need differential equations?
• Should math be mandatory in all schools?
• What is a Hessian matrix?

Logic Topics to Research

We have some interesting logical topics for research papers. These are perfect for students interested in writing about math logic. Pick one right now:

• Discuss the reductio ad absurdum approach
• Discuss Boolean algebra
• What is consistency proof?
• Analyze Trakhtenbrot’s theorem (the finite model theory)
• Discuss the Gödel completeness theorem
• An in-depth analysis of Morley’s categoricity theorem
• How does the Back-and-forth method work?
• Discuss the Ehrenfeucht–Fraïssé game technique
• Discuss Aleph numbers (Aleph-null and Aleph-one)
• Solving the Suslin problem

Algebra Topics for a Research Paper

Would you like to write about an algebra topic? No problem, our seasoned writers have compiled a list of the best algebra topics for a research paper:

• Discuss the differential equation
• Analyze the Jacobson density theorem
• The 4 properties of a binary operation in algebra
• Analyze the unary operator in depth
• Analyze the Abel–Ruffini theorem
• Epimorphisms vs. monomorphisms: compare and contrast
• Discuss the Morita duality in algebraic structures
• Idempotent vs. nilpotent in Ring theory
• Discuss the Artin-Wedderburn theorem
• What is a commutative ring in algebra?
• Analyze and describe the Noetherian ring

Math Education Research Topics

There is nothing wrong with writing about math education, especially if your professor did not give you writing prompts. Here are some very nice math education research topics:

• What are the goals a mathematics professor should have?
• What is math anxiety in the classroom?
• Teaching math in UK schools: the difficulties
• Computer programming or math in high school?
• Is math education in Europe at a high enough level?
• Common Core Standards and their effects on math education
• Culture and math education in Africa
• What is dyscalculia and how does it manifest itself?
• When was algebra first thought in schools?
• Math education in the United States versus the United Kingdom

Computability Theory Topics to Research

Writing about computability theory can be a very interesting adventure. Give it a try! Here are some of our most interesting computability theory topics to research:

• What is a multiplication table?
• Analyze the Scholz conjecture
• Explain exponentiating by squaring
• Analyze the Myhill-Nerode theorem
• What is a tree automaton?
• Compare and contrast the Pushdown automaton and the Büchi automaton
• Discuss the Markov algorithm
• What is a Turing machine?
• Analyze the post correspondence problem
• Discuss the linear speedup theorem
• Discuss the Boolean satisfiability problem

Interesting Math Research Topics

We know you want topics that are interesting and relatively easy to write about. This is why we have a separate list of our most interesting math research topics:

• What is two-element Boolean algebra?
• The life of Gauss
• The life of Isaac Newton
• What is an orthodiagonal quadrilateral?
• Tessellation in Euclidean plane geometry
• Describe a hyperboloid in 3D geometry
• What is a sphericon?
• Discuss the peculiarities of Borel’s paradox
• Analyze the De Finetti theorem in statistics
• What are Martingales?
• The basics of stochastic calculus

Applied Math Research Topics

Interested in writing about applied mathematics? Our team managed to create a list of awesome applied math research topics from scratch for you:

• Discuss Newton’s laws of motion
• Analyze the perpendicular axes rule
• How is a Galilean transformation done?
• The conservation of energy and its applications
• Discuss Liouville’s theorem in Hamiltonian mechanics
• Analyze the quantum field theory
• Discuss the main components of the Lorentz symmetry
• An in-depth look at the uncertainty principle

Geometry Topics for a Research Paper

Geometry can be a very captivating subject, especially when you know plenty about it. Check out our list of geometry topics for a research paper and pick the best one today:

• Most useful trigonometry functions in math
• The life of Archimedes and his achievements
• Trigonometry in computer graphics
• Using Vincenty’s formulae in geodesy
• Define and describe the Heronian tetrahedron
• The math behind the parabolic microphone
• Discuss the Japanese theorem for concyclic polygons
• Analyze Euler’s theorem in geometry

Math Research Topics for Middle School

Yes, even middle school children can write about mathematics. We have some original math research topics for middle school right here:

• Finding critical points in a graph
• The basics of calculus
• What makes a graph ultrahomogeneous?
• How do you calculate the area of different shapes?
• What contributions did Euclid have to the field of mathematics?
• What is Diophantine geometry?
• What makes a graph regular?
• Analyze a full binary tree

Math Research Topics for College Students

As you’ve probably already figured out, college students should pick topics that are a bit more complex. We have some of the best math research topics for college students right here:

• What are extremal problems and how do you solve them?
• Discuss an unsolvable math problem
• How can supercomputers solve complex mathematical problems?
• An in-depth analysis of fractals
• Discuss the Boruvka’s algorithm (related to the minimum spanning tree)
• Discuss the Lorentz–FitzGerald contraction hypothesis in relativity
• An in-depth look at Einstein’s field equation
• The math behind computer vision and object recognition

Calculus Topics for a Research Paper

Let’s face it: calculus is not a very difficult field. So, why don’t you pick one of our excellent calculus topics for a research paper and start writing your essay right away:

• When do we need to apply the L’Hôpital rule?
• Discuss the Leibniz integral rule
• Calculus in ancient Egypt
• Discuss and analyze linear approximations
• The applications of calculus in real life
• The many uses of Stokes’ theorem
• Discuss the Borel regular measure
• An in-depth analysis of Lebesgue’s monotone convergence theorem

Simple Math Research Paper Topics for High School

This is the place where you can find some pretty simple topics if you are a high school student. Check out our simple math research paper topics for high school:

• The life and work of the famous Pierre de Fermat
• What are limits and why are they useful in calculus?
• Explain the concept of congruency
• The life and work of the famous Jakob Bernoulli
• Analyze the rhombicosidodecahedron and its applications
• Calculus and the Egyptian pyramids
• The life and work of the famous Jean d’Alembert
• Discuss the hyperplane arrangement in combinatorial computational geometry
• The smallest enclosing sphere method in combinatorics

Business Math Topics

If you want to surprise your professor, why don’t you write about business math? We have some exceptional topics that nobody has thought about right here:

• Is paying a loan with another loan a good approach?
• Discuss the major causes of a stock market crash
• Best debt amortization methods in the US
• How do bank loans work in the UK?
• Calculating interest rates the easy way
• Discuss the pros and cons of annuities
• Basic business math skills everyone should possess
• Business math in United States schools
• Analyze the discount factor

Probability and Statistics Topics for Research

Probability and statistics are not easy fields. However, you can impress your professor with one of our unique probability and statistics topics for research:

• What is the autoregressive conditional duration?
• Applying the ANOVA method to ranks
• Discuss the practical applications of the Bates distribution
• Explain the principle of maximum entropy
• Discuss Skorokhod’s representation theorem in random variables
• What is the Factorial moment in the Theory of Probability?
• Compare and contrast Cochran’s C test and his Q test
• Analyze the De Moivre-Laplace theorem
• What is a negative probability?

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Theses and Dissertations (Mathematics Education)

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• The challenges faced by Grade 7 Mathematics teachers in integrating digital technologies to teach data handling  Paulus, Johannes Natangwe ( 2023-12 ) This study explored the challenges faced by mathematics teachers in integrating digital technologies in teaching Data handling in Grade 7 in Ohangwena Region, Namibia. In this digital era, it is crucial for teachers to ...
• Exploring the TVET college lecturers’ perspectives on the usage of problem-centred teaching in level 4 Calculus  Ndlovu, Jesca ( 2023-12 ) This study explored the perspectives of Technical and Vocational Education and Training (TVET) college lecturers on the usage of problem-based learning as a teaching method in teaching level 4 Calculus. Achievement in ...
• Exploring Grade 10 teachers’ mathematical discourses during Euclidean geometry lessons in Johannesburg East District, South Africa  Kyabuntu, Kambila Joxe ( 2023-11-29 ) The current study sought to investigate the mathematical discourses used by Grade 10 teachers during Euclidean geometry lessons. To explore and understand teachers’ classroom discourses during Euclidean geometry lessons, ...
• Industrial mathematics curriculum development for Ethiopian Science and Technology universities  Zewdie Woldeamanuel Habte ( 2023-09 ) This study aimed to examine the development and implementation of the new industrial mathematics curriculum for Ethiopian Science and Technology universities. Ethiopia is in the process of transforming to industry led ...
• The impact of 8Ps learning model on the mathematical problem-solving performance of grade 12 learners in the concept of stationary points in differential calculus  Omoniyi, Adebayo Akinyinka ( 2022-11-11 ) Noting the centrality of problem solving to Mathematics and its capability to enhance learner performance in the subject, the study measured the impact of the use of 8Ps learning model on the mathematical problem-solving ...
• Enhancing mathematics teachers' professional development for creative teaching in Addis Ababa secondary schools  Anwar Seid Al-amin ( 2023-09-25 ) The Ethiopian education system is imported from the West, and the traditional method of instruction (pouring information) in the ICT revolution era wastes time and resources. Learners can get more information about mathematics ...
• Grade 9 mathematics teachers’ strategies to address mathematical proficiency in their teaching of linear equations : a case of selected schools in Gauteng North District  Mothudi, Teresa Ntsae ( 2022-12-10 ) The purpose of this research was to look into Grade 9 mathematics teachers’ strategies to address mathematical proficiency in their teaching of linear equations. The study was intrigued by the performance of learners in ...
• Grade 6 mathematics teachers’ development of learner mathematical proficiency in addition and subtraction of common fractions, in the Tshwane South District of Gauteng  Lendis, Ashley Pearl ( 2022-11-30 ) The study was motivated by the fact that learners are not performing well in the topic of fractions due to the lack of conceptual understanding of the concept. The purpose of this qualitative study based on an interpretive ...
• The performance and learning difficulties of Grade 10 learners in solving euclidean geometry problems in Tshwane West District  Olabode, Adedayo Abosede ( 2023-01-31 ) There is a growing trend of declining performance in the final year (Grade 12) mathematics examinations in the South African public school system. The study aimed to evaluate Grade 10 learners in the Tshwane West District ...
• A collaborative model for teaching and learning mathematics in secondary schools  Ngwenya, Vusani ( 2021-11 ) Mathematics pass rates in South African schools, as in many developing nations, continue to be a source of concern for educators and policymakers alike. Improving mathematics performance is non-negotiable if Africa is to ...
• Teachers improvement of mathematics achievements in rural schools of Mopani District : implications for professional development  Sambo, Sosa Isaac ( 2023-01-01 ) Throughout the globe, there is an outcry that learners’ performance in mathematics is below the expected standard. Hence, teachers need teacher development to improve their skills and knowledge in the subject. The purpose ...
• Grade 10 learners’ academic experiences of learning parabolic functions in schools of Vhembe district of Limpopo Province  Mudau, Takalani Lesley ( 2022-11-22 ) The objective of this study was to determine Grade 10 learners' academic performance in learning parabola functions. Furthermore, the study sought to unearth errors that learners make when learning parabola functions and ...
• An exploration of learning difficulties experienced by grade 12 learners in euclidean geometry : a case of Ngaka Modiri Molema district  Mudhefi, Fungirai ( 2022-08-20 ) The purpose of this study was to investigate the learning difficulties experienced by Grade 12 learners in Euclidean geometry. Despite the efforts exerted in terms of time, material and human resources in the teaching and ...
• The relationship between anxiety, working memory and achievement in mathematics in grade 5 learners : a case study of Tshepisong schools  Mnguni, Maria Tebogo ( 2022-01-21 ) This study investigated the relationship between anxiety, working memory and achievement in mathematics in grade 5 learners at Tshepisong schools. A sample of 300 grade 5 learners from Tshepisong schools was selected using ...
• The effects of using a graphic calculator as a cognitive tool in learning grade 10 data handling  Rambao, Mpho ( 2022-09 ) The integration of technology in the mathematics classroom is believed to have an influence on how the learners learn and change their perception of mathematics. Therefore, technology tools are developed to enhance the ...
• Integration of ethnomathematics in the teaching of probability in secondary school mathematics in Zimbabwe  Turugari, Munamato ( 2022-06 ) Underpinned by the social constructivism theory and the praxis of integrating ethnomathematics in the teaching of probability, this PAR developed a policy framework for facilitating the integration of ethno-mathematics in ...
• Evaluating Grade 10 learners’ change in understanding of similar triangles following a classroom intervention  Maweya, Amokelo Given ( 2022 ) Geometry, in particular Euclidean geometry, has been highlighted as a subject in mathematics that presents a variety of challenges to many secondary school learners. Many students struggle to gain appropriate knowledge of ...
• The impact of technology integration in teaching grade 11 Euclidean geometry based on van Hiele’s model  Bediako, Adjei ( 2021-10-10 ) This quantitative study reports on the impact of using GeoGebra software to teach Grade 11 geometry through van Hieles’ levels theory, merged with some elements of the Technological Pedagogical Content Knowledge framework. ...
• A framework towards improved instruction of probability to grade seven students : a case of South African schools in Mpumalanga province  Kodisang, Sophy Mamanyena ( 2022-02-03 ) This empirical phenomenological study explored teachers’ conceptual understanding of probability to gain insights into how this understanding enhanced their instructional classroom practice. The study was motivated by the ...
• The use and effect of Geogebra software in Calculus at Wachemo University, Ethiopia : an investigation  Tola Bekene Bedada ( 2021-08 ) With the rapid growth of technology in the 21st century, traditional teaching and learning methods are considered outdated and not suitable for the active learning processes of the constructivist learning approach. The ...

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Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

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Education Thesis Topics

This page provides a comprehensive list of education thesis topics , designed to inspire and assist students in selecting the most suitable topic for their thesis. Whether you are pursuing a degree in education or looking to specialize in a specific area within the field, finding the right topic can be pivotal to your academic success and career trajectory. From exploring contemporary challenges in adult education to investigating innovative practices in educational technology, this list encompasses a broad range of areas tailored to meet diverse research interests and academic needs. Each category has been thoughtfully compiled to provide a rich variety of topics that reflect current trends and future directions in education. This resource aims to be an invaluable tool for students, guiding them through the process of topic selection by providing a structured and extensive range of possibilities.

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Get 10% off with 24start discount code, browse education thesis topics by category:, adult education thesis topics, art education thesis topics, comparative education thesis topics.

• Curriculum And Instruction Thesis Topics

Distance Education Thesis Topics

Early childhood education thesis topics, education policy thesis topics, educational leadership thesis topics, educational management thesis topics, educational psychology thesis topics, educational technology thesis topics, elementary education thesis topics, health education thesis topics, higher education thesis topics, international education thesis topics, language education thesis topics, mathematics education thesis topics, multicultural education thesis topics, music education thesis topics, online education thesis topics.

• Philosophy Of Education Thesis Topics

Physical Education Thesis Topics

Science education thesis topics, special education thesis topics, vocational education thesis topics.

• The impact of lifelong learning on career advancement in adults over 40.
• Analyzing the effectiveness of online versus traditional classroom settings for adult learners.
• Barriers to education in mature students and strategies for overcoming them.
• The role of adult education in fostering community development.
• The influence of cultural background on adult education participation.
• Adult literacy: Assessing the outcomes of government versus private sector programs.
• The effectiveness of adult education programs in reducing societal inequality.
• Integrating technology into adult education: Challenges and opportunities.
• How adult education programs can adapt to the changing needs of the workforce.
• Motivational strategies for returning students in adult education programs.
• The impact of adult education on mental health and well-being.
• Exploring the effectiveness of distance learning tools for adult education.
• Policy analysis of adult education funding in developing countries.
• The role of NGOs in promoting adult education in rural areas.
• Comparative analysis of adult education systems across different countries.
• The future of adult education in the age of artificial intelligence and automation.
• Career transitions through adult education: Case studies of success stories.
• Evaluating the impact of community colleges in adult education in the U.S.
• Adult education and its role in promoting environmental sustainability.
• The challenges of providing adult education to differently-abled learners.
• The effects of the COVID-19 pandemic on adult education and future implications.
• Utilizing gamification in adult education to enhance learning engagement.
• Strategies for integrating soft skills training in adult education curriculum.
• The role of adult education in mitigating the digital divide.
• Gender differences in adult education participation and outcomes.
• Exploring the role of libraries in supporting adult education.
• Assessing the economic impact of adult education programs.
• Challenges in standardizing curricula across adult education programs globally.
• Adult education as a tool for reducing recidivism in former inmates.
• The impact of social media on adult education and community building.
• Trends in funding adult education: A comparative study of OECD countries.
• Adult education for the elderly: Benefits and methodologies.
• The role of adult education in fostering political awareness and participation.
• Peer teaching and its effectiveness in adult education settings.
• The psychology of adult learning: How adults learn differently than younger students.
• Ethical considerations in adult education: A contemporary view.
• Collaborative learning environments in adult education: A case study approach.
• The impact of language barriers on adult education and strategies to overcome them.
• Exploring adaptive learning technologies in adult education.
• The role of adult education in promoting health awareness and lifestyle changes.
• The integration of digital media in art education: Implications for teaching and creativity.
• The role of art education in promoting multicultural understanding and appreciation.
• Evaluating the impact of art education on cognitive development in children.
• The use of virtual reality (VR) technology in art education classrooms.
• Art education and social justice: Teaching art as a form of activism.
• The decline of traditional art forms in education: Causes and effects.
• Strategies for incorporating contemporary artists into the art education curriculum.
• The role of public art in education: Engaging communities through school projects.
• Art education funding: Analyzing trends and predicting future directions.
• The impact of art education on emotional intelligence and empathy development.
• Collaborative art projects and their role in enhancing teamwork skills.
• The challenges of teaching art in digital environments: Teacher perspectives.
• Art therapy as an educational tool: Benefits and limitations.
• Cross-disciplinary approaches to art education: Combining art with science and technology.
• The role of art critiques in the educational process: Fostering critical thinking and feedback.
• The influence of cultural identity on art production and education.
• Sustainable practices in art education: Using recycled materials in art projects.
• Art education in rural vs. urban settings: A comparative analysis.
• The future of art education in the age of automation and AI-generated art.
• Gender representation in art education materials and its impact on students.
• The role of art education in addressing environmental issues through creative expressions.
• Assessment methods in art education: Moving beyond traditional grading.
• The effects of globalization on art education curricula.
• Inclusive education in the arts: Best practices for accommodating all students.
• Using art as a medium for language learning in multicultural classrooms.
• The historical evolution of art education and its relevance today.
• Art education and entrepreneurship: Preparing students for careers in the arts.
• The role of museums and galleries in contemporary art education.
• Art education and technology: Exploring new possibilities for interactive learning.
• The impact of government policies on art education.
• Art education leadership: Key skills and competencies for educators.
• The psychological benefits of engaging in art education.
• Parental involvement in art education: Effects on student outcomes.
• The balance between technique and creative expression in art education.
• Strategies for promoting lifelong learning through art.
• Art education for special needs students: Techniques and case studies.
• Exploring the concept of beauty in art education: A philosophical inquiry.
• The role of criticism in art education: Constructive vs. destructive feedback.
• The impact of social media on student art projects and their public reception.
• Exploring non-Western art traditions in Western art education settings.
• A comparative analysis of STEM education in Asian vs. Western countries.
• The impact of globalization on education systems: A study of developing vs. developed nations.
• Comparative study of teacher training programs across different countries.
• The influence of cultural factors on educational attainment in Scandinavian countries.
• Examining gender disparities in education within Middle Eastern and European contexts.
• The role of language policies in education: Comparisons between multilingual and monolingual states.
• Evaluating the outcomes of decentralized vs. centralized education systems.
• The effect of political instability on education quality in Sub-Saharan Africa compared to South America.
• A comparative analysis of approaches to special education in the US and Japan.
• Digital divide: Access to educational technology in rural vs. urban schools globally.
• Comparative effectiveness of online education platforms across different continents.
• The impact of refugee crises on education systems in host vs. origin countries.
• Education for sustainable development: Comparing curricula from Nordic countries to North American models.
• The role of private education in social mobility: A comparative international study.
• Comparative assessment of academic freedom in Asian universities vs. European universities.
• Exploring the integration of indigenous knowledge in formal education systems.
• The effectiveness of early childhood education programs in North America vs. Europe.
• A comparative analysis of educational responses to the COVID-19 pandemic.
• The role of religious education in secular vs. non-secular societies.
• Assessing the impact of international educational exchanges on student outcomes.
• Comparative studies on the implementation of educational policies for immigrant children.
• The evolution of vocational training systems in Germany compared to the United States.
• Comparative study on the impact of school uniforms on student behavior and performance.
• The influence of international assessments (PISA, TIMSS) on national education policies.
• Examining the role of non-governmental organizations in education across different political systems.
• Education and nationalism: A comparative study of curriculum content in post-Soviet states.
• The effects of tuition fees on higher education access in the UK and Germany.
• Comparative analysis of adult literacy programs in Africa and Asia.
• Assessing the role of educational technology in bridging learning gaps in low-income vs. high-income countries.
• Comparative effectiveness of bilingual education models in North America and Europe.
• The impact of cultural heritage on curriculum development in former colonial vs. colonizer countries.
• Examining student resilience in conflict zones: A comparative study.
• The role of sports in education: A comparative analysis between the US and UK.
• Comparing the impact of parental involvement in education in Eastern vs. Western cultures.
• The effectiveness of anti-bullying programs in schools across different countries.
• Comparative analysis of nutrition and health education in schools in Mediterranean vs. North American countries.
• The role of arts education in fostering social cohesion: A comparative study.
• Assessing the success of integration policies for students with disabilities in mainstream schools internationally.
• The effects of class size on educational outcomes: A comparative study.
• Comparing career counseling practices in high schools across different countries.

Curriculum and Instruction Thesis Topics

• The role of project-based learning in enhancing critical thinking skills.
• Evaluating the effectiveness of hybrid learning models post-COVID-19.
• The impact of standardized testing on curriculum development.
• Integrating sustainability education into the school curriculum: Methods and outcomes.
• The effectiveness of STEM curricula in fostering female participation in science and technology.
• Exploring the use of artificial intelligence in personalized learning environments.
• The challenges of implementing competency-based education in traditional schools.
• The impact of teachers’ instructional styles on student engagement and learning.
• Developing and evaluating anti-racist curriculum in secondary education.
• The use of virtual reality (VR) in simulating historical events for educational purposes.
• Assessing the impact of mindfulness education on student well-being and academic performance.
• Curriculum strategies for enhancing emotional intelligence in elementary schools.
• The role of feedback in the learning process: Implementing effective models.
• Strategies for integrating digital literacy into primary education curricula.
• The effects of bilingual instruction on cognitive development.
• Evaluating the long-term impacts of early childhood education curricula.
• The integration of coding and computational thinking across all school levels.
• Developing curricula for life skills education: Successes and challenges.
• The influence of parent-teacher partnerships on curriculum effectiveness.
• Assessing the efficacy of flipped classroom models in secondary education.
• Strategies for teaching critical media literacy in high schools.
• The role of the arts in promoting cross-curricular learning.
• Evaluating the inclusivity of curricula for multicultural classrooms.
• The impact of outdoor educational experiences on environmental awareness.
• Addressing the needs of gifted students through differentiated curriculum strategies.
• The challenges and outcomes of teaching global citizenship in schools.
• Implementing trauma-informed practices in curriculum and instruction.
• The effectiveness of peer tutoring programs integrated into the curriculum.
• Strategies for addressing learning loss due to school disruptions.
• The role of curriculum in shaping students’ attitudes towards diversity and inclusion.
• Evaluating the impact of social-emotional learning programs in urban schools.
• The influence of technology on modifying traditional teaching methodologies.
• The challenges of aligning vocational training with industry needs in high schools.
• Exploring the impact of teacher professional development on curriculum delivery.
• The role of student voice in curriculum planning and implementation.
• Assessing the effectiveness of health and wellness programs in school curricula.
• The impact of historical narratives in textbooks on student perception of history.
• The challenges and benefits of co-teaching models in inclusive classrooms.
• Implementing continuous assessment strategies in primary education.
• The role of school leadership in fostering curriculum innovation.
• The effectiveness of synchronous vs. asynchronous learning methods in distance education.
• Impact of AI-driven personalization on student outcomes in online courses.
• Barriers to effective communication in virtual classrooms and strategies for improvement.
• Analyzing dropout rates in online higher education programs.
• The role of virtual reality (VR) in enhancing engagement in distance learning environments.
• Assessing the quality and accreditation challenges in global online education.
• The evolution of mobile learning technologies and their impact on distance education.
• Cybersecurity challenges in distance learning systems and mitigation strategies.
• The influence of cultural diversity on learning outcomes in international online classrooms.
• Strategies for fostering a sense of community and collaboration among distance learners.
• The effectiveness of online professional development courses for teachers.
• Legal and ethical considerations in the administration of distance learning programs.
• The role of blockchain technology in securing academic records in distance education.
• Impact of social media integration on student engagement and learning in distance education.
• The use of big data analytics to improve learner retention rates in online courses.
• Adaptive learning technologies: Tailoring distance education to individual learner needs.
• Distance education as a tool for lifelong learning: Trends and effectiveness.
• The future of distance education: Predicting technology trends and educational practices.
• Designing effective course materials for visually impaired students in online formats.
• The impact of distance learning on traditional higher education business models.
• Evaluating the effectiveness of online language learning versus traditional methods.
• The role of e-portfolios in assessing student performance in distance education.
• The challenges of providing science labs in an online education format.
• Distance learning in rural areas: Accessibility challenges and technological solutions.
• Parental involvement in the distance education of younger students: Methods and impacts.
• The effectiveness of gamification in online education for enhancing motivation.
• Best practices for designing inclusive online courses for students with disabilities.
• The future of corporate training: The shift towards online learning platforms.
• Comparing student satisfaction in distance education vs. traditional classroom settings.
• The role of mentorship in online education: Impact on student success.
• Analyzing the impact of online education on adult learners’ career advancements.
• Distance education and global inequality: Access issues and scalable solutions.
• The role of distance education in emergency preparedness for educational institutions.
• Student privacy and data protection in online educational platforms.
• The impact of augmented reality (AR) tools on distance education.
• Pedagogical strategies for effective teaching in hybrid classrooms.
• The effectiveness of peer-to-peer learning networks in online education settings.
• Online education for environmental sustainability: Courses and student engagement.
• The challenges of cross-cultural communication in global virtual classrooms.
• Assessing the impact of regulatory frameworks on the growth of distance education.
• The impact of play-based learning on cognitive development in early childhood.
• Assessing the effectiveness of Montessori methods in early childhood education.
• The role of parental involvement in the early educational development of children.
• Integrating technology into early childhood classrooms: Tools and impacts.
• The influence of early childhood education on later academic and social outcomes.
• Developing emotional intelligence through early childhood education programs.
• The effects of outdoor learning experiences on young children’s environmental awareness.
• Nutrition and its impact on cognitive development in early childhood education settings.
• The role of music and arts in early childhood cognitive and emotional development.
• Addressing learning disabilities in early childhood: Detection and intervention strategies.
• The impact of socio-economic factors on access to quality early childhood education.
• Gender roles in early childhood education: Shaping perspectives from a young age.
• The effectiveness of bilingual education in early childhood development.
• Assessing the impact of teacher-student ratios on learning outcomes in preschools.
• Strategies for promoting literacy from an early age.
• The role of cultural diversity in early childhood education curricula.
• Evaluating the security and safety standards in early childhood education centers.
• The influence of childhood trauma on early educational experiences.
• The impact of COVID-19 on early childhood education: Challenges and innovations.
• Implementing STEM education in early childhood: Approaches and outcomes.
• The role of storytelling in emotional and language development in early childhood.
• Strategies for integrating special needs children in mainstream early childhood classrooms.
• The impact of digital media on attention spans and learning in young children.
• Parental expectations and their impact on early childhood education strategies.
• The effects of sleep on learning and behavior in early childhood education settings.
• Teacher training and its effectiveness in enhancing early childhood education.
• Assessing the impact of early childhood education on family dynamics.
• The role of feedback in the learning processes of early childhood.
• Ethical considerations in early childhood education research.
• Strategies for effective conflict resolution in early childhood education settings.
• The role of play in the socialization process of children in early education.
• Innovative approaches to language acquisition in early childhood education.
• The impact of preschool programs on social inequality.
• Cultural sensitivity training for educators in diverse early childhood classrooms.
• The effectiveness of health education in early childhood programs.
• Addressing the challenges of transitioning from early childhood education to primary school.
• The influence of siblings and peer interactions in early educational settings.
• The impact of maternal education levels on early childhood learning outcomes.
• Evaluating the role of educational toys in early learning environments.
• The use of augmented reality (AR) in interactive learning for young children.
• The impact of national education policies on achievement gaps in urban and rural schools.
• Evaluating the effectiveness of affirmative action in higher education admissions.
• The role of government policy in shaping teacher retention rates.
• Policy interventions to address the digital divide in remote learning.
• The consequences of standardized testing policies on curriculum flexibility.
• Comparative analysis of education policies for special needs students across different states.
• The effectiveness of early intervention policies in education for at-risk youth.
• The influence of immigration policies on public education systems.
• Analyzing the impact of school choice policies on public school demographics and performance.
• Policy measures to improve STEM education outcomes among underrepresented groups.
• The role of policy in integrating mental health support in schools.
• Effects of education policies on bilingual education and student language development.
• The impact of zero-tolerance policies on student behavior and school safety.
• Evaluating the success of policies aimed at reducing childhood obesity through school programs.
• The implications of homeschooling policies during and post-pandemic.
• Policy analysis of teacher certification standards across countries.
• The role of state policies in promoting environmental education.
• Analysis of funding equity in public schools under different educational policies.
• The impact of privacy laws on digital learning tools and student data.
• Policy strategies for enhancing parental engagement in public schools.
• The effects of minimum wage policies on the availability of qualified childcare workers.
• Evaluating the efficacy of policies aimed at integrating arts into the educational curriculum.
• The influence of non-profit organizations in shaping education policy.
• Policies to address teacher shortages in critical subject areas.
• The impact of trade policies on vocational education and training programs.
• Analyzing the role of public policies in combating academic dishonesty.
• The effect of nutrition policies on learning outcomes in schools.
• The impact of refugee education policies on local education systems.
• Education policy reforms for enhancing adult education and lifelong learning.
• The implications of international education policies for student mobility and exchange programs.
• Evaluating the impact of fiscal policies on higher education affordability.
• The role of education policies in fostering entrepreneurship education.
• The impact of climate change policies on education systems worldwide.
• Policy measures for managing teacher stress and burnout.
• The effectiveness of anti-bullying policies in schools.
• The role of policy in shaping sports education and physical activity in schools.
• The influence of policies on the adaptation of new technologies in education.
• Evaluating the success of gender-inclusive policies in educational institutions.
• The role of public policy in shaping early childhood education standards.
• The effectiveness of policies aimed at enhancing cybersecurity education in schools.
• The role of leadership in fostering a culture of innovation in schools.
• The impact of transformational leadership on teacher motivation and student performance.
• Strategies for educational leaders to manage change during technology integration.
• Leadership styles and their effects on school climate and culture.
• The role of educational leaders in promoting equity and inclusion within schools.
• Evaluating the effectiveness of leadership training programs for aspiring principals.
• The impact of school leadership on implementing sustainable practices.
• Leadership challenges in urban vs. rural school settings.
• The role of school leaders in crisis management and emergency preparedness.
• Strategies for effective stakeholder engagement by educational leaders.
• The impact of educational leadership on special education program success.
• Leadership and its role in shaping professional development for teachers.
• The influence of school leaders on fostering parent-teacher collaborations.
• The role of ethical leadership in educational institutions.
• Comparative analysis of educational leadership models across different countries.
• The impact of leadership on the adoption of digital textbooks and learning resources.
• Leadership strategies for combating teacher burnout and turnover.
• The role of educational leaders in policy advocacy and reform.
• Strategies for building and maintaining high-performance teams in education.
• The impact of leadership on student mental health initiatives.
• The effectiveness of distributed leadership in educational settings.
• Leadership in higher education: Managing faculty and student diversity.
• The role of school administrators in implementing anti-bullying policies.
• Evaluating the leadership practices in charter schools vs. public schools.
• The influence of leadership on enhancing school safety protocols.
• The role of leaders in developing ICT competencies within schools.
• Educational leadership in times of budget cuts: Strategies for maintaining quality education.
• The role of principals in fostering community partnerships for school improvement.
• Leadership decision-making processes in curriculum design and implementation.
• The effectiveness of servant leadership in educational settings.
• The challenges of leadership succession in schools and its impact on organizational continuity.
• The role of leadership in promoting physical education and wellness programs.
• How educational leaders influence the integration of global issues into the curriculum.
• Leadership and management of virtual and hybrid learning environments.
• The role of leadership in fostering student-led initiatives and governance.
• Evaluating the impact of educational leadership on national education performance standards.
• The role of leadership in the accreditation and quality assurance of educational programs.
• Leadership strategies for enhancing faculty development and scholarship.
• The role of educational leaders in managing conflicts among staff and students.
• Strategies used by leaders to enhance the reputation and competitiveness of educational institutions.
• The role of data analytics in improving school management decisions.
• Strategies for managing resource allocation in schools with limited budgets.
• The impact of leadership styles in educational management on school effectiveness.
• Evaluating the effectiveness of performance management systems in educational institutions.
• The challenges of implementing sustainable practices in school management.
• The role of school managers in fostering innovation and creativity in education.
• Management of teacher professional development and its impact on school improvement.
• The effectiveness of conflict resolution strategies in educational management.
• School management practices for handling multicultural education environments.
• The role of management in shaping the integration of technology in schools.
• Evaluating the impact of school management on student retention rates.
• The influence of school management on enhancing parental involvement in education.
• Strategies for effective crisis management in educational settings.
• The impact of educational management on implementing inclusive education policies.
• School branding and marketing: Management strategies for enhancing public perception.
• The challenges and strategies of financial management in private vs. public schools.
• The role of educational managers in compliance with national education standards.
• Managing staff turnover in educational institutions: Strategies and outcomes.
• The impact of educational management on special needs education programs.
• The role of strategic planning in educational management for long-term success.
• The effectiveness of communication strategies in educational management.
• Change management in schools: Approaches and resistance factors.
• The role of educational managers in facilitating digital learning environments.
• The impact of demographic changes on school management strategies.
• Managing the integration of non-traditional students in higher education institutions.
• The role of management in enhancing community engagement with schools.
• Educational management practices for promoting mental health awareness in schools.
• The challenges of managing cross-cultural teams in international schools.
• The role of educational managers in fostering ethical behavior and integrity.
• Evaluating the governance structures of educational institutions and their effectiveness.
• The impact of educational management on improving teaching quality.
• Strategies for managing large-scale assessments and evaluations in educational settings.
• The role of educational managers in navigating the politics of education reform.
• Management practices for enhancing the security and safety of educational environments.
• The effectiveness of mentorship programs managed by educational institutions.
• The role of management in handling the adoption of new educational curricula.
• Strategies for managing the transition from traditional to online education.
• The impact of educational management on promoting physical education and sports.
• Managing diversity and inclusion initiatives in educational settings.
• The challenges and outcomes of succession planning in educational leadership.
• The effects of psychological safety in classrooms on student learning outcomes.
• The impact of teacher-student relationships on student academic performance and well-being.
• Cognitive strategies that enhance learning retention in students with learning disabilities.
• The role of motivation in student engagement and achievement.
• Psychological implications of remote learning on elementary school students.
• The effectiveness of mindfulness and meditation programs in promoting student mental health.
• The role of parental involvement on children’s educational outcomes from a psychological perspective.
• Strategies for developing resilience in students facing academic failures.
• The impact of socio-economic status on children’s cognitive development and learning.
• Psychological assessments in schools: Their impact and implications for student development.
• The influence of peer relationships on academic motivation and performance.
• The role of emotional intelligence in leadership and group dynamics in schools.
• The impact of bullying on student mental health and academic outcomes.
• Strategies for addressing test anxiety among high school and college students.
• The psychological effects of praise vs. criticism on student motivation.
• The role of psychological counseling in managing student behavioral issues.
• The impact of learning environments on student psychological well-being.
• Psychological factors influencing the adoption of technology in education.
• The effects of childhood trauma on learning and academic performance.
• Strategies for supporting students with ADHD in educational settings.
• The role of cognitive biases in student learning and decision-making.
• The psychological impacts of extracurricular activities on student development.
• Understanding and managing the emotional aspects of teacher-student interactions.
• The effects of group work on individual student performance and social skills.
• The role of psychology in developing effective educational video games.
• Evaluating the psychological benefits of art and music education.
• The impact of sleep patterns on student learning and memory.
• Psychological theories of learning and their practical applications in the classroom.
• The influence of family dynamics on student academic achievements.
• The role of student self-efficacy in educational achievement and career aspirations.
• The psychological effects of social media use on student attention and learning.
• Strategies for enhancing parental engagement from a psychological perspective.
• The role of teacher feedback in shaping student self-concept and academic identity.
• Psychological perspectives on the challenges of bilingual education.
• The impact of psychological support services on student retention rates in universities.
• The role of psychology in understanding and addressing gender disparities in STEM fields.
• Psychological strategies for integrating special needs students in mainstream classrooms.
• The impact of racial and ethnic identity on educational experiences and outcomes.
• Psychological approaches to understanding and preventing academic dishonesty.
• The role of school psychologists in crisis intervention and management within schools.
• The impact of artificial intelligence on personalized learning environments.
• Evaluating the effectiveness of virtual reality (VR) in STEM education.
• The role of educational apps in enhancing early literacy skills.
• Blockchain technology in education: Implications for security and record-keeping.
• The efficacy of adaptive learning systems in improving student performance.
• The use of big data analytics to predict student learning outcomes and dropout risks.
• Gamification in education: Comparing engagement and learning outcomes across disciplines.
• The challenges and benefits of implementing BYOD (Bring Your Own Device) policies in schools.
• The impact of social media tools on collaborative learning and student engagement.
• Augmented reality (AR) applications in education: A tool for enhancing experiential learning.
• The effectiveness of online peer tutoring platforms on student achievement.
• Digital equity in education: Access to technology and its impact on learning disparities.
• The role of technology in facilitating continuous professional development for teachers.
• Online assessment tools: Their validity, reliability, and impact on educational outcomes.
• The influence of podcasting and audio resources on learning in higher education.
• The effects of screen time on cognitive development and academic performance in children.
• The role of e-books and digital libraries in fostering reading habits among students.
• Implementing smart classroom technologies: Benefits, challenges, and long-term outcomes.
• Technology integration in special education: Tools and strategies for inclusive learning.
• The impact of virtual labs on science education in remote learning environments.
• Wearable technology in education: Potential uses and implications for student learning.
• Evaluating the effectiveness of MOOCs (Massive Open Online Courses) in lifelong learning.
• Internet of Things (IoT) in education: Applications and future prospects.
• Cybersecurity education: Developing critical skills through technology-based curricula.
• The role of video conferencing tools in promoting international collaboration among students.
• The impact of cloud computing on collaboration and data management in schools.
• Analyzing the role of technology in transforming teacher-student interactions.
• The effectiveness of digital storytelling tools in enhancing narrative writing skills.
• The impact of technology on reducing educational disparities in rural areas.
• Student data privacy and ethical considerations in educational technology deployments.
• Mobile learning: Trends, effectiveness, and pedagogical implications.
• The influence of technology on homework practices and student time management.
• The effectiveness of digital feedback systems in improving student learning.
• The role of simulation software in professional and technical education.
• Technology-facilitated project-based learning: Case studies and outcomes.
• The challenges of integrating cutting-edge technologies into traditional curricula.
• Evaluating the long-term impacts of technology-enhanced collaborative learning environments.
• Technology in classroom management: Tools for enhancing disciplinary measures and student behavior monitoring.
• The effectiveness of assistive technologies in supporting dyslexic students.
• Exploring the potential of mixed reality environments in education.
• Evaluating the effectiveness of project-based learning in enhancing problem-solving skills in elementary students.
• Strategies for teaching advanced mathematical concepts to young learners through visual aids.
• Comparing phonics and whole language approaches to reading instruction in elementary education.
• The influence of multicultural curricula on fostering inclusivity and empathy among elementary students.
• The effects of parent-teacher partnerships on student academic achievement and social development.
• Implementing environmental sustainability education in elementary schools: methods and outcomes.
• Effective classroom management strategies for enhancing focus and discipline in young children.
• Assessing the role of regular physical activity in boosting academic performance and mental health in elementary-aged children.
• Integration of digital storytelling tools in elementary science education to enhance student engagement.
• Arts-based learning initiatives: Measuring their impact on creativity and academic success in the elementary classroom.
• Best practices for supporting ESL students in diverse elementary classrooms.
• The impact of reduced teacher-student ratios on personalized learning experiences in elementary schools.
• The role of modern school libraries in promoting digital literacy alongside traditional reading skills.
• Critical analysis of the reliance on standardized testing within elementary educational systems.
• Nutrition-focused school programs and their effects on concentration and academic performance in young students.
• Challenges and benefits of introducing STEM education in early grades.
• Utilizing children’s literature to teach ethics and social responsibility in elementary schools.
• Evaluating the efficacy of anti-bullying initiatives in elementary settings.
• Exploring the role of tablets and apps in developing early writing skills.
• Benefits of experiential outdoor education programs on environmental consciousness in elementary students.
• The educational benefits of structured play in developing cognitive and social skills in elementary pupils.
• Tailoring instruction to meet the needs of gifted students in mainstream elementary classrooms.
• Impact of comprehensive social-emotional learning programs on student behavior and academic outcomes.
• Designing effective strategies for elementary students with specific learning disabilities.
• Investigating the role of positive teacher feedback in shaping student self-perception and academic engagement.
• Analyzing parental pressure and its effects on academic stress in elementary-aged children.
• The role of interactive math games in enhancing numerical proficiency among elementary students.
• Assessing the effectiveness of peer tutoring in reading comprehension and literacy skills.
• The influence of school safety measures on creating a supportive learning environment for elementary learners.
• Cultural influences on teaching practices and curriculum design in diverse elementary classrooms.
• The impact of teacher training on instructional quality and student outcomes in early education.
• Evaluating the effectiveness of visual arts integration in elementary math and science curricula.
• The role of music education in improving cognitive development and academic performance in elementary students.
• Assessing the impact of technology-driven personalized learning environments on student engagement and learning outcomes.
• The effects of bilingual education programs on cognitive flexibility and language development in elementary students.
• Strategies for addressing behavioral issues in elementary classrooms through positive reinforcement.
• The role of community involvement in enhancing educational experiences in elementary schools.
• Investigating the effects of early intervention strategies for children at risk of educational failure.
• The benefits of a narrative approach to teaching history and social studies in elementary schools.
• Exploring the efficacy of mindfulness exercises in managing stress and enhancing focus among young students.
• The impact of school-based mental health programs on student well-being and academic performance.
• Evaluating the effectiveness of digital health education platforms in promoting adolescent health literacy.
• The role of health education in combating the rise of obesity among children and adolescents.
• Strategies for integrating mindfulness and stress reduction techniques into K-12 health curricula.
• Assessing the impact of nutrition education on dietary habits and health outcomes in primary schools.
• The effectiveness of anti-smoking campaigns targeted at young teens within school settings.
• The role of virtual reality (VR) simulations in enhancing health education on topics like CPR and first aid.
• Analyzing the influence of parental involvement in health education on children’s lifestyle choices.
• The effectiveness of peer education models for promoting sexual health among high school students.
• Challenges and opportunities in implementing mental health first aid training in schools.
• The impact of wearable fitness technology on physical education and student health outcomes.
• Evaluating community-based health education programs for their role in improving public health.
• The influence of social media on health behaviors in adolescents: Opportunities for educational interventions.
• Strategies for addressing health disparities through targeted school health education programs.
• The role of health education in prevention and management of adolescent drug abuse.
• Assessing the long-term impacts of health education on lifestyle diseases such as diabetes and hypertension.
• The effectiveness of school-based interventions for the management of asthma in children.
• The impact of culturally tailored health education programs on minority groups in schools.
• Evaluating the effectiveness of comprehensive reproductive health education in secondary schools.
• The role of schools in promoting environmental health education and awareness.
• The impact of health education interventions on preventing teenage pregnancies.
• Challenges in implementing health education curricula that accommodate students with disabilities.
• The role of gamification in enhancing engagement with health education content.
• Evaluating the impact of school gardens on health education and nutritional outcomes.
• The effectiveness of online health education tools in increasing student engagement and knowledge retention.
• The role of teacher training in the delivery of effective health education.
• Analyzing the policy landscape surrounding health education in schools across different states or countries.
• The impact of health education on reducing the stigma associated with mental health issues.
• The role of health education in fostering critical thinking about health news and media literacy.
• Evaluating the effectiveness of anti-bullying programs as a part of health education in schools.
• The influence of health education on changing attitudes towards vaccination among adolescents.
• The role of school health education in addressing the health needs of LGBTQ+ youth.
• Assessing the effectiveness of health education programs in rural vs. urban schools.
• The challenges of adapting health education programs to the digital age.
• The impact of experiential learning approaches in health education on student understanding and behaviors.
• The role of health educators in advocating for healthy school environments.
• Evaluating the effectiveness of interventions aimed at reducing sedentary behavior among students.
• The impact of nutrition and physical activity education on the academic performance of students.
• Strategies for promoting sun safety and skin cancer awareness in schools.
• The effectiveness of school-based dental health education programs in improving oral health behaviors.
• Evaluating the impact of online learning on student engagement in higher education.
• The effectiveness of competency-based education in university settings.
• Trends and challenges in managing diversity and inclusion on college campuses.
• The role of university leadership in fostering a culture of innovation.
• Assessing the financial sustainability of tuition-free college programs.
• The impact of international student enrollments on domestic education quality.
• Strategies for integrating mental health services into university student support systems.
• The effectiveness of academic advising in enhancing student retention and graduation rates.
• The role of technology in transforming traditional lecture-based learning in universities.
• The impact of COVID-19 on the globalization of higher education.
• Analyzing the shift towards STEM education in universities and its implications.
• The effectiveness of university partnerships with industry in preparing students for employment.
• Evaluating the impact of campus safety measures on student well-being.
• The role of social media in shaping university branding and student recruitment.
• Strategies for enhancing faculty development and teaching quality in higher education.
• The effectiveness of experiential learning programs in developing job-ready skills.
• Trends in higher education policy changes and their impact on institutional practices.
• The role of universities in promoting sustainable practices and environmental education.
• Assessing the impact of student loan policies on access to higher education.
• The influence of alumni networks on university development and student opportunities.
• The role of higher education in fostering entrepreneurial skills and mindsets.
• Challenges and strategies for delivering continuing education and professional development.
• The effectiveness of remedial programs in addressing college readiness gaps.
• Trends in higher education curriculum reform to meet evolving industry demands.
• The role of intercultural competencies in enhancing global readiness among graduates.
• Evaluating the effectiveness of hybrid learning models blending online and in-person instruction.
• The impact of artificial intelligence and automation on higher education curriculum and employment.
• Strategies for addressing gender disparities in academic leadership roles.
• The role of higher education in mitigating social inequality through accessible education.
• The effectiveness of wellness programs in improving student health and academic performance.
• The impact of microcredentialing and badge programs on professional development and lifelong learning.
• The challenges of maintaining academic integrity in an era of digital education.
• Evaluating the impact of student-centered learning environments on academic outcomes.
• The role of universities in fostering political and social engagement among students.
• Trends and challenges in the internationalization of higher education curricula.
• Assessing the effectiveness of peer mentoring programs in enhancing academic success.
• The role of higher education in promoting critical thinking and problem-solving skills.
• Evaluating the effectiveness of diversity training programs in universities.
• The impact of housing quality and availability on university student success.
• The role of accreditation standards in shaping educational quality in higher education institutions.
• Assessing the impact of global mobility on learning outcomes in international education.
• The effectiveness of international baccalaureate programs compared to national curricula.
• Trends in cross-cultural competency training for educators in international schools.
• The role of language barriers in shaping the international student experience.
• Strategies for integrating international students into domestic academic environments.
• The impact of political tensions on international educational collaborations.
• Evaluating the effectiveness of virtual exchange programs in fostering global understanding.
• The role of international education in promoting global citizenship and peace.
• Challenges and strategies in managing international higher education partnerships.
• Trends in student recruitment strategies by international universities.
• The impact of scholarship programs on promoting diversity in international education.
• The effectiveness of study abroad programs in enhancing intercultural communication skills.
• Assessing the financial sustainability of international branch campuses.
• The role of technology in facilitating international collaboration in education.
• Evaluating the impact of international education on career prospects and employability.
• The challenges of accrediting international educational programs across different countries.
• Trends in educational policy impacting international student visa regulations.
• The role of international education in mitigating cultural stereotypes.
• Strategies for enhancing the safety and security of international students abroad.
• The impact of international alumni networks on global engagement and development.
• Evaluating the role of international educational consultants in student success.
• The challenges of curriculum standardization across international educational systems.
• The impact of economic crises on international student mobility and enrollment.
• The effectiveness of international dual-degree programs in higher education.
• Trends in the use of English as a medium of instruction in non-English speaking countries.
• The role of international educational fairs in shaping global education trends.
• The impact of international education on local economies and cultural exchange.
• Strategies for supporting refugee and displaced students in international education systems.
• The challenges of ethical recruitment in international education.
• The effectiveness of multicultural teams in international school projects.
• Assessing the impact of cultural intelligence training on educators in international settings.
• Trends in governmental support for international education initiatives.
• The role of international education in fostering environmental awareness and action.
• Challenges in assessing the quality of international online education programs.
• The impact of global health crises on international education systems.
• Strategies for balancing nationalism and globalism in international education policies.
• The effectiveness of international peer mentorship programs.
• Trends in international education marketing and student engagement.
• The role of international education in promoting democratic values and social justice.
• Evaluating the impact of international educational exchanges on diplomatic relations.
• The impact of immersive technologies on second language acquisition.
• Strategies for integrating content and language integrated learning (CLIL) in multilingual classrooms.
• The role of motivation in second language learning success.
• Assessing the effectiveness of online language learning platforms versus traditional classroom settings.
• The impact of cultural immersion programs on language proficiency and cultural competence.
• Trends in bilingual education and its effects on cognitive development.
• The role of language in identity formation among multilingual students.
• Evaluating the effectiveness of early childhood language immersion programs.
• The impact of mother tongue-based multilingual education on learning outcomes.
• Strategies for overcoming language barriers in increasingly diverse educational settings.
• The effectiveness of language learning apps and tools: A comparative study.
• The role of teacher training in enhancing language teaching methodologies.
• The impact of study abroad programs on language proficiency and intercultural sensitivity.
• Trends in the assessment methods of second language proficiency.
• The influence of peer interaction in language learning environments.
• The role of artificial intelligence in personalized language learning experiences.
• Challenges and strategies for teaching less commonly taught languages.
• The effectiveness of heritage language programs in preserving linguistic diversity.
• The impact of globalization on language education policies and practices.
• Strategies for promoting linguistic diversity and inclusion in language education.
• The role of language in fostering global citizenship and international relations.
• Evaluating the impact of multiliteracy approaches in language education.
• The challenges of teaching language through online synchronous and asynchronous methods.
• The effectiveness of drama and role-play in enhancing language learning.
• The impact of social media on language learning and usage among students.
• Strategies for addressing language attrition among immigrant populations.
• The role of linguistic landscapes in language learning and cultural exposure.
• Assessing the socio-economic impacts of language education in multilingual societies.
• The influence of family language policies on bilingual education outcomes.
• Trends in language education funding and resource allocation.
• The effectiveness of language cafés and informal language learning environments.
• Challenges in standardizing language proficiency levels across educational systems.
• The role of languages in interdisciplinary education programs.
• The impact of language anxiety on learning outcomes and strategies for mitigation.
• Evaluating the effectiveness of language portfolios as a tool for language learning.
• The role of corrective feedback in second language acquisition.
• The impact of accent reduction programs on communication skills and social integration.
• Strategies for integrating language education with vocational training.
• The influence of linguistic relativity on second language learning processes.
• Evaluating the long-term retention of language skills post-education.
• Evaluating the impact of problem-based learning on mathematical problem-solving skills.
• The effectiveness of visual aids in enhancing understanding of complex mathematical concepts.
• Strategies for integrating technology in mathematics education to improve student engagement.
• The role of mathematical games and puzzles in primary education curriculum.
• Assessing the impact of flipped classrooms on student performance in high school mathematics.
• Trends in adaptive learning technologies for personalized mathematics instruction.
• The influence of teacher attitudes and beliefs on teaching methods in mathematics.
• The effectiveness of collaborative learning environments in mathematics education.
• The role of parental involvement in children’s mathematical development.
• Evaluating the impact of early intervention programs on mathematics achievement in at-risk students.
• Strategies for addressing math anxiety among middle school students.
• The effectiveness of hands-on activities versus traditional lectures in teaching mathematics.
• Assessing gender differences in mathematical achievement and attitudes.
• The role of formative assessment in enhancing learning outcomes in mathematics.
• The impact of professional development programs on mathematics teaching practices.
• Strategies for teaching mathematical concepts to students with learning disabilities.
• The influence of socio-economic factors on mathematics education outcomes.
• The effectiveness of inquiry-based mathematics education compared to traditional approaches.
• Trends in international comparisons of student achievement in mathematics.
• The role of language in understanding and solving mathematical problems.
• Evaluating the use of mathematical modeling in secondary education.
• The impact of STEM-focused schools on mathematics proficiency.
• Strategies for effective integration of statistics and probability in K-12 curricula.
• The role of cultural context in mathematics education and curriculum design.
• Assessing the long-term impacts of early childhood mathematics education.
• The effectiveness of online versus face-to-face tutoring in mathematics.
• Trends in teacher certification and its impact on mathematics education quality.
• The role of feedback in student learning and engagement in mathematics classes.
• Evaluating the effectiveness of peer teaching methods in mathematics.
• The impact of curriculum innovations on teaching and learning mathematics.
• Strategies for integrating ethical reasoning in mathematics education.
• The effectiveness of interdisciplinary approaches to teaching mathematics.
• The role of critical thinking skills in mathematics education.
• Assessing the effectiveness of remedial mathematics programs in higher education.
• Trends in the use of digital portfolios for assessing mathematics learning.
• The impact of international educational exchanges on mathematics teaching methods.
• Strategies for motivating underrepresented groups to pursue mathematics education.
• The influence of new curricular standards on mathematics education reform.
• Evaluating the role of competitions and awards in fostering interest in mathematics.
• The impact of augmented reality (AR) tools on spatial reasoning in geometry education.
• Evaluating the impact of multicultural curricula on racial and ethnic tolerance in schools.
• Strategies for integrating global perspectives into K-12 education systems.
• The effectiveness of teacher training programs in multicultural education competencies.
• Assessing the role of cultural exchange programs in promoting intercultural understanding among students.
• The influence of bilingual education on cultural identity and student achievement.
• Trends in multicultural education policies and their impact on educational equity.
• The role of community involvement in shaping multicultural education practices.
• Evaluating the effectiveness of anti-racism education in reducing bias and discrimination in schools.
• Strategies for addressing cultural conflicts in increasingly diverse classrooms.
• The impact of immigrant histories on curriculum design and teaching strategies.
• The effectiveness of cultural competency frameworks in teacher education.
• Assessing the role of indigenous knowledge systems in multicultural education.
• Trends in the representation of diverse cultures in school textbooks and media.
• The role of schools in fostering cultural preservation and appreciation among minority groups.
• Strategies for engaging parents from diverse backgrounds in the educational process.
• The impact of cultural diversity on classroom dynamics and learning outcomes.
• Evaluating the effectiveness of multicultural clubs and activities in promoting inclusivity.
• The role of intercultural communication training in teacher professional development.
• Assessing the challenges of teaching about sensitive cultural and historical issues.
• The effectiveness of international collaborations in enhancing multicultural understanding.
• Trends in multicultural counseling and guidance in educational settings.
• The role of arts education in promoting multicultural awareness and expression.
• Strategies for accommodating religious diversity in educational institutions.
• The impact of cultural festivals and events on community and school integration.
• Evaluating the role of language diversity in multicultural education settings.
• The effectiveness of storytelling and narrative in conveying multicultural values.
• Trends in educational technology for supporting multicultural education.
• The role of libraries in providing access to multicultural resources and fostering inclusivity.
• Assessing the impact of social justice education on student activism and awareness.
• Strategies for addressing socioeconomic disparities through multicultural education.
• The effectiveness of peer mentorship programs in enhancing multicultural understanding.
• The role of school leadership in promoting an inclusive school culture.
• Assessing the impact of educational policies on multicultural education practices.
• Strategies for using digital media to enhance multicultural learning experiences.
• The effectiveness of virtual reality (VR) simulations in teaching cultural empathy.
• Trends in government support for multicultural education initiatives.
• The role of language education in supporting multicultural communication skills.
• Assessing the impact of demographic changes on multicultural education needs.
• Strategies for integrating multicultural education into STEM fields.
• Evaluating the effectiveness of service learning projects in promoting multicultural competence.
• The impact of music education on cognitive development and academic performance in early childhood.
• Evaluating the effectiveness of digital tools and apps in teaching music theory and practice.
• The role of classical music training in enhancing memory and concentration in students.
• Trends in integrating world music into school curricula and its impact on cultural appreciation.
• The effectiveness of music therapy in special education settings for children with autism.
• Assessing the role of community music programs in fostering social cohesion and community engagement.
• The impact of school budget cuts on the quality and availability of music education programs.
• Strategies for teaching music in a multicultural classroom to enhance intercultural understanding.
• The role of music education in promoting emotional and mental health among adolescents.
• Evaluating the effectiveness of online music education vs. traditional face-to-face teaching methods.
• The influence of music competitions on student motivation and musical career aspirations.
• The impact of mentorship and role models in music education on student engagement and retention.
• Trends in music education policy changes and their impact on program sustainability.
• The effectiveness of adaptive music education tools for students with learning disabilities.
• The role of music in enhancing language acquisition and literacy skills.
• Assessing the impact of participatory music-making on teamwork and collaboration skills.
• The role of technology in transforming music composition and production education.
• Strategies for fostering creativity and innovation through music education.
• The impact of extracurricular music programs on student academic outcomes and school involvement.
• Evaluating the effectiveness of music education in reducing behavioral issues among at-risk youth.
• The role of music education in preserving cultural heritage and promoting cultural tourism.
• Trends in teacher training for music educators and its impact on teaching quality.
• The effectiveness of early musical training on lifelong musical engagement and appreciation.
• The impact of parental involvement in music education on children’s musical development.
• Assessing the role of music education in interdisciplinary learning environments.
• The effectiveness of music education in improving public speaking and presentation skills.
• The role of music education in enhancing spatial-temporal reasoning among students.
• Strategies for integrating music education into STEM fields to create STEAM curriculum.
• The impact of music festivals and live performances as educational tools in schools.
• Evaluating the sustainability of funding for music education programs in public schools.
• The role of peer teaching and learning in music education settings.
• Trends in the use of music technology in classroom settings and its educational outcomes.
• The effectiveness of music education in promoting positive youth development.
• Assessing the challenges of teaching diverse music genres in a standardized curriculum.
• The role of music education in enhancing multicultural understanding and global awareness.
• Strategies for overcoming challenges in access to music education in rural areas.
• The impact of competitive music environments on student psychology and learning outcomes.
• The effectiveness of community partnerships in enhancing music education opportunities.
• Trends in music copyright education for young musicians and educators.
• The role of music education in fostering entrepreneurial skills and career opportunities in the music industry.
• The effectiveness of online learning platforms in higher education: A comparative analysis.
• Strategies for enhancing student engagement in asynchronous online courses.
• The role of artificial intelligence in personalizing learning experiences in online education.
• Assessing the impact of digital divide on access to online education in underprivileged regions.
• Trends in the development and adoption of MOOCs (Massive Open Online Courses) across different disciplines.
• The effectiveness of online simulation tools in professional training and education.
• The role of online education in continuing professional development and lifelong learning.
• Strategies for combating academic dishonesty and plagiarism in online courses.
• The impact of virtual reality (VR) and augmented reality (AR) technologies on online education.
• Evaluating the pedagogical effectiveness of gamified elements in online learning environments.
• The influence of online peer collaboration on learning outcomes and student satisfaction.
• The role of online education in facilitating international education and global classrooms.
• Assessing the impact of online learning on traditional campus-based educational models.
• Trends in regulatory and accreditation challenges for online education programs.
• The effectiveness of online counseling and student support services in distance education.
• Strategies for integrating hybrid learning models in traditional educational institutions.
• The impact of mobile learning technologies on accessibility to education.
• The effectiveness of online teacher training programs in enhancing teaching quality.
• The role of community building in online education settings to enhance learning experiences.
• Evaluating the long-term career outcomes of graduates from online degree programs.
• The impact of social media on learning engagement in online educational settings.
• Strategies for ensuring equity and inclusion in online education environments.
• The role of open educational resources (OER) in reducing costs and improving access to education.
• Assessing the psychological effects of prolonged exposure to online learning environments.
• The effectiveness of online language learning programs in achieving fluency.
• Trends in the use of analytics and big data to improve student retention in online courses.
• The impact of online education on traditional faculty roles and teaching practices.
• The effectiveness of adaptive learning technologies in meeting diverse learner needs.
• Strategies for engaging parents in the online education of K-12 students.
• The role of online platforms in fostering interdisciplinary studies and research collaboration.
• Assessing the security and privacy concerns in online education platforms.
• The impact of cloud-based technologies on the scalability of online education.
• The role of certification and micro-credentialing in online education marketplaces.
• The effectiveness of virtual labs and experiments in science education online.
• Trends in the internationalization of online courses and degree programs.
• The impact of online education on reducing carbon footprints and promoting sustainability.
• Strategies for implementing effective feedback mechanisms in online learning.
• The effectiveness of multimedia and interactive content in online education.
• The role of online education in emergency preparedness and response training.
• Evaluating the future of online education in the post-pandemic era.

Philosophy of Education Thesis Topics

• Exploring the ethical dimensions of teacher-student relationships in modern educational settings.
• The role of pragmatism in shaping contemporary educational practices and policies.
• Critical theory and its implications for addressing social justice issues in education.
• The impact of constructivism on teaching methods and student learning outcomes.
• Analyzing the philosophy behind inclusive education and its implementation challenges.
• The influence of existentialism on student autonomy and personal development in education.
• The role of Confucian philosophy in shaping educational values and systems in East Asia.
• The impact of neoliberal policies on educational equity and access.
• Exploring the philosophical underpinnings of homeschooling and its growth in popularity.
• The role of education in democracy: Analyzing the contributions of John Dewey.
• The ethical implications of artificial intelligence and technology in education.
• The philosophy of lifelong learning and its relevance in the 21st century.
• Analyzing Paulo Freire’s pedagogy of the oppressed and its contemporary applications.
• The role of feminist theories in shaping gender education policies.
• The impact of postmodernism on curriculum design and educational objectives.
• Exploring the intersection of education and philosophy in the development of critical thinking skills.
• The role of virtue ethics in character education programs.
• The philosophical debates surrounding the commercialization of higher education.
• The influence of philosophical idealism on educational aspirations and outcomes.
• Nietzsche’s philosophy and its implications for educational motivation and excellence.
• The role of education in ethical and moral development according to Kantian philosophy.
• Analyzing the impact of Stoicism on resilience and stress management education.
• The role of Buddhist philosophy in promoting mindfulness and peace education.
• The philosophical foundations of experiential learning and its effectiveness.
• The implications of relativism for teaching multicultural and global education.
• The role of philosophy in defining the aims of scientific education.
• Analyzing the impact of libertarian educational theories on school choice and privatization.
• The ethics of care and its implications for educational practice and policy.
• The role of logical positivism in shaping approaches to scientific education.
• Analyzing the influence of Marxist philosophy on educational theory and classroom practice.
• The implications of phenomenology for understanding the educational experience.
• The role of educational philosophy in shaping environmental education.
• Exploring the philosophical basis for the integration of the arts in education.
• The role of philosophy in the debate over standardized testing and assessment.
• The implications of utilitarianism for educational policy and practice.
• Analyzing the philosophy of language and its implications for literacy education.
• The role of educational philosophy in teacher education and professional development.
• The impact of skepticism on promoting critical thinking and inquiry in education.
• The role of philosophy in shaping strategies for education during crises and emergencies.
• Analyzing the philosophical foundations of digital ethics in education.
• Assessing the impact of physical education on childhood obesity rates.
• The effectiveness of integrated technology in physical education: Wearables and fitness tracking.
• Strategies for promoting lifelong physical activity through school-based programs.
• The role of physical education in the psychological and social development of children.
• Evaluating gender differences in physical education participation and outcomes.
• The impact of school sports programs on academic performance and student behavior.
• Developing inclusive physical education curricula for students with disabilities.
• The role of physical education in addressing mental health issues among adolescents.
• Assessing the safety and risk management practices in school sports and physical education.
• The effectiveness of adventure-based learning programs in physical education.
• Trends in the professional development of physical education teachers.
• The impact of national standards on physical education curriculum development.
• Evaluating the role of competitive sports in physical education settings.
• The effectiveness of mindfulness and yoga programs integrated into physical education.
• The role of physical education in promoting healthy lifestyle choices among teenagers.
• Assessing the impact of extracurricular athletic programs on student engagement.
• The role of physical education in combating sedentary lifestyle trends among youth.
• Evaluating the efficacy of health and wellness education within physical education classes.
• The impact of community and parental involvement in physical education programs.
• Strategies for integrating cultural diversity into physical education programs.
• The effectiveness of physical education programs in rural vs. urban schools.
• Trends in adaptive sports programs within physical education for special needs students.
• The role of physical education in fostering team-building and leadership skills.
• Evaluating the impact of early childhood physical education on motor skill development.
• The role of physical education in the holistic development of students.
• Assessing the impact of budget cuts on physical education programs in public schools.
• The effectiveness of dance and movement programs as part of physical education.
• The role of physical education in reducing aggression and promoting peace among students.
• Strategies for enhancing student motivation and participation in physical education.
• The impact of outdoor education programs on environmental awareness and physical health.
• Evaluating the challenges and benefits of implementing cross-fit programs in high schools.
• The role of physical education in promoting gender equality and empowerment.
• Trends in physical education curricula focusing on non-traditional sports.
• The impact of coaching styles on student learning outcomes in physical education.
• Strategies for addressing the psychological barriers to physical activity among students.
• The role of physical education in promoting intercultural competence and understanding.
• Assessing the effectiveness of virtual and augmented reality tools in physical education.
• The impact of school policies on the provision and quality of physical education.
• Evaluating the long-term health impacts of physical education policies in schools.
• The role of physical education in preparing students for active and healthy aging.
• The effectiveness of inquiry-based learning approaches in enhancing student understanding of scientific concepts.
• Evaluating the impact of climate change education on students’ environmental behaviors and attitudes.
• The role of virtual reality (VR) simulations in teaching complex scientific phenomena.
• Strategies for integrating artificial intelligence (AI) into science curricula to foster problem-solving skills.
• Assessing the effectiveness of STEM (Science, Technology, Engineering, and Mathematics) integration in primary education.
• The impact of maker spaces and fab labs on innovation and creativity in science education.
• Trends in citizen science initiatives as tools for teaching and engaging students in scientific research.
• Evaluating gender disparities in science education and strategies to encourage female participation in STEM fields.
• The effectiveness of digital storytelling in teaching science to diverse student populations.
• The role of science education in promoting sustainability and understanding of ecological systems.
• Assessing the challenges and benefits of teaching controversial scientific topics (e.g., evolution, global warming) in schools.
• The impact of project-based learning on student engagement and retention in science subjects.
• Strategies for effective communication of scientific information in the age of misinformation.
• Evaluating the use of augmented reality (AR) tools for enhancing spatial reasoning in physics education.
• The role of science fairs and competitions in motivating students and fostering a love for science.
• The impact of remote and hybrid learning models on science education during and post-COVID-19.
• Assessing the professional development needs of science teachers in rapidly changing educational landscapes.
• The effectiveness of science education podcasts as a learning tool for high school students.
• Strategies for addressing the science achievement gap among underrepresented and low-income student groups.
• The role of outdoor education programs in teaching biological sciences and fostering environmental stewardship.
• Evaluating the effectiveness of interdisciplinary approaches to teaching science with technology and engineering.
• The impact of biotechnology education on student awareness and ethical perspectives towards genetic engineering.
• Trends in nanotechnology education and its integration into the science curriculum.
• The effectiveness of gamification in science education to enhance learning motivation and engagement.
• The role of mentoring programs in supporting underrepresented students in science fields.
• Assessing the impact of parental involvement on children’s science learning outcomes.
• The role of informal learning environments (museums, science centers) in supplementing formal science education.
• Evaluating the impact of international science collaborations in high school education.
• The challenges of adapting science curricula to include more local and indigenous knowledge systems.
• The effectiveness of flipped classrooms in fostering active learning in science education.
• Strategies for teaching complex scientific topics to students with learning disabilities.
• Assessing the role of peer instruction and collaborative learning in science education.
• The impact of science communication training for teachers on student outcomes.
• The role of artificial neural networks in modeling and simulation for science education.
• Trends in the use of machine learning to analyze educational data in science classrooms.
• Evaluating the impact of 3D printing technology on student understanding of molecular and cellular biology.
• The role of science education in fostering critical thinking and skepticism in an era of fake news.
• Strategies for enhancing science curriculum with real-world problem solving and innovation.
• The effectiveness of continuous assessment versus standardized tests in science education.
• The role of student-led research projects in promoting autonomous learning in science education.
• Evaluating the effectiveness of inclusive classrooms versus segregated settings for students with disabilities.
• The impact of assistive technologies on academic achievement for students with sensory impairments.
• Strategies for integrating social-emotional learning in special education curricula.
• Assessing the outcomes of early intervention programs for children with developmental delays.
• The role of parent-teacher collaboration in developing Individualized Education Programs (IEPs).
• Trends in teacher training for special education: Effectiveness and areas for improvement.
• The impact of Universal Design for Learning (UDL) on accessibility in education for special needs students.
• Strategies for addressing behavioral challenges in students with emotional and behavioral disorders.
• The effectiveness of speech therapy integrated within the school curriculum for students with speech impediments.
• Evaluating the transition programs for students with disabilities moving from secondary education to adulthood.
• The role of music therapy in enhancing communication and emotional expression in children with autism.
• Assessing the impact of legislative changes on the provision of special education services.
• The challenges and effectiveness of distance learning for students with special educational needs during the COVID-19 pandemic.
• Strategies for supporting students with learning disabilities in mainstream classrooms.
• The impact of peer tutoring on social skills development in children with special needs.
• Evaluating the use of augmented and virtual reality as educational tools for students with intellectual disabilities.
• The effectiveness of animal-assisted therapy in improving the well-being of students with special needs.
• Trends in funding for special education: Impacts and implications.
• The role of dietary interventions in managing symptoms of ADHD in school-aged children.
• Strategies for enhancing the motor skills of students with physical disabilities through adaptive physical education.
• The impact of bilingual education on students with learning disabilities.
• Evaluating the effectiveness of art therapy for students with emotional and psychological disorders.
• The challenges of assessing cognitive abilities in students with severe disabilities.
• The role of school counselors in supporting the mental health of special education students.
• Assessing the impact of sensory rooms on student behavior and learning outcomes.
• The effectiveness of professional development in autism spectrum disorders for general education teachers.
• Strategies for improving literacy skills among students with dyslexia.
• The impact of social stories and visual schedules in supporting students with autism in the classroom.
• Evaluating the long-term outcomes of students with disabilities who participate in life skills programs.
• The effectiveness of mindfulness and relaxation techniques in reducing anxiety in students with special needs.
• The role of technology in facilitating communication for non-verbal students.
• Strategies for involving students with disabilities in extracurricular activities.
• The impact of genetic counseling on parents of children with genetic disorders and its educational implications.
• Evaluating the role of educational psychologists in special education settings.
• The effectiveness of transition planning from school to employment for young adults with disabilities.
• The impact of community-based learning experiences on students with special needs.
• Strategies for addressing the shortage of qualified special education teachers.
• The role of early childhood intervention in preventing the escalation of special needs in later schooling.
• The impact of cultural and linguistic diversity on the delivery of special education services.
• Evaluating the effectiveness of behavior intervention plans for managing classroom behavior in students with emotional and behavioral disorders.
• The impact of vocational education on employment outcomes in the technology sector.
• Evaluating the effectiveness of apprenticeship programs in skilled trades.
• The role of vocational education in economic development within rural communities.
• Trends in vocational education policy changes and their impact on labor markets.
• The effectiveness of dual education systems combining vocational training and academic education.
• Assessing the role of industry partnerships in enhancing vocational training programs.
• The impact of digital transformation on vocational education and training (VET) curricula.
• Strategies for integrating soft skills training into vocational education programs.
• The role of vocational education in reducing youth unemployment rates.
• Evaluating gender disparities in access to vocational training and outcomes.
• The impact of vocational education on lifelong learning and career progression.
• Trends in vocational education for sustainable development and green jobs.
• The effectiveness of online and blended learning approaches in vocational education.
• The role of vocational education in supporting economic recovery post-COVID-19.
• Assessing the alignment of vocational training programs with current job market demands.
• The impact of vocational education on social inclusion and mobility.
• Strategies for improving the image and attractiveness of vocational education.
• The role of vocational education in supporting entrepreneurship and self-employment.
• Evaluating the effectiveness of vocational education in the hospitality and tourism industry.
• The impact of vocational training on the healthcare workforce and service delivery.
• Trends in vocational education for the creative arts and media sectors.
• The role of competency-based education in vocational training programs.
• The impact of international collaboration in vocational education on curriculum development.
• Evaluating the role of vocational education in the automotive industry’s shift to electric vehicles.
• Strategies for addressing the skills gap in manufacturing through vocational education.
• The role of vocational education in the digital economy and emerging sectors.
• Assessing the effectiveness of vocational education in culinary arts and food service management.
• The impact of vocational education on reducing recidivism through prison education programs.
• Trends in vocational education for the renewable energy sector.
• The effectiveness of vocational education in the retail and consumer services industry.
• The role of modular and flexible learning options in vocational education.
• Strategies for enhancing teacher training in vocational education settings.
• The impact of policy frameworks on the quality and delivery of vocational education.
• Evaluating the role of vocational education in enhancing workplace safety and occupational health.
• The effectiveness of vocational education in the agricultural sector.
• The role of vocational education in supporting older workers in workforce transitions.
• Assessing the impact of vocational education on community development and social welfare.
• Trends in vocational education for the entertainment and event management industry.
• The role of vocational education in fostering innovation and technology adoption.
• Evaluating the effectiveness of vocational education in the logistics and supply chain management industry.

We hope this extensive and carefully curated list of education thesis topics will serve as a springboard for your academic research. Each category has been designed to reflect the evolving landscape of educational inquiry, ensuring you can find a topic that not only interests you but also contributes to the field of education. As you peruse these options, consider how each topic might help you achieve your academic and professional goals. With this comprehensive resource, we aim to equip you with the tools to embark on a rewarding and insightful thesis writing journey.

The Range of Education Thesis Topics

Education is a dynamic field, constantly evolving in response to societal changes, technological advancements, and cultural shifts. The selection of a thesis topic in education is crucial, as it not only contributes to the academic development of students but also impacts the broader educational landscape. This in-depth article on education thesis topics explores the range of potential areas for scholarly research, highlighting the importance of choosing topics that are not only of personal interest but also of significant relevance to current issues, recent trends, and future directions in education. By delving into these dimensions, students can position their work to contribute meaningfully to ongoing conversations and innovations in the field. Whether you are examining traditional educational theories or exploring cutting-edge technologies, the goal remains the same: to enhance understanding and improve educational practices across diverse settings.

Current Issues in Education

The landscape of education is continually shaped by a variety of pressing issues that demand attention from educators, policymakers, and researchers. Education thesis topics that focus on these current issues are pivotal for students who aim to make meaningful contributions to the field. This section explores several significant challenges and areas of concern that are shaping educational discourse today.

• Educational Equity and Access: One of the critical areas within current education thesis topics is the persistent inequality in access to quality education. Disparities based on socioeconomic status, race, ethnicity, and geographical location significantly impact educational outcomes. Thesis topics in this area could explore strategies for improving access to high-quality education for underrepresented and disadvantaged groups, examining the effectiveness of policy interventions or the role of technology in bridging these gaps.
• Impact of Technology on Learning: The integration of technology in education has accelerated due to the global shift to online learning during the COVID-19 pandemic. Education thesis topics could investigate the long-term effects of remote learning on student academic performance and social skills, or explore the development of new pedagogical models that effectively integrate digital tools, addressing the digital divide and concerns over student data privacy and security.
• Mental Health in Educational Settings: Increasing awareness of mental health issues highlights the importance of supporting student well-being in educational environments. Education thesis topics can focus on evaluating the effectiveness of mental health programs in schools or exploring how educational settings can be designed to better support the mental health of both students and educators. This provides a fertile ground for thesis research aimed at developing effective support mechanisms.
• Curriculum Relevance and Reform: As the demands of the workforce evolve, there is a pressing need for curriculum reform to ensure that students are equipped with relevant skills for the future. Education thesis topics addressing these issues might involve examining the alignment of current curricula with the skills needed in today’s job market or evaluating the implementation and outcomes of curriculum innovations.
• Teacher Retention and Professional Development: Teacher turnover remains a significant issue in education, affecting the stability and quality of teaching. Education thesis topics in this area might include studies on the factors influencing teacher retention, the impact of teacher professional development on educational outcomes, or innovative strategies to enhance teacher engagement and satisfaction.

Addressing these education thesis topics through rigorous research not only contributes to academic growth but also plays a crucial role in shaping effective and responsive educational practices. Each of these areas offers a wealth of opportunities for developing thesis topics that can have a real-world impact, enhancing the educational experiences of learners and empowering educators across the globe.

Recent Trends in Education

Education is an ever-evolving field, with new methodologies, technologies, and philosophies continually reshaping the way knowledge is imparted and absorbed. Understanding these shifts is crucial for developing relevant education thesis topics. This section highlights some of the most significant recent trends in education that are influencing current research and teaching practices.

• Technology Integration: One of the prominent recent trends in education is the increased integration of technology in the classroom. Education thesis topics might explore how digital tools such as AI, VR, and cloud computing are transforming traditional teaching methodologies and student engagement. This trend has accelerated due to the necessity of remote learning during the COVID-19 pandemic, offering a rich area for investigation into its long-term effects on educational outcomes.
• Personalized Learning: Tailoring education to individual student needs and learning styles is becoming more feasible through data analytics and adaptive learning technologies. Recent trends in education suggest a move towards more personalized education, which is particularly relevant for thesis topics that investigate the effectiveness of these approaches in improving student learning and retention rates.
• Sustainability Education: As global awareness of environmental issues increases, so does the emphasis on sustainability within educational curricula. Recent trends in education highlight the integration of sustainability into all levels of education as a critical area of study. Education thesis topics could examine how sustainability is being taught in schools and its impact on student attitudes and behaviors towards the environment.
• Social and Emotional Learning (SEL): Another growing trend in the field of education is the focus on social and emotional learning. This trend emphasizes the importance of developing skills such as empathy, self-awareness, and emotional regulation. Education thesis topics could explore the integration of SEL into the curriculum, its effectiveness, and how it impacts academic and social outcomes.
• Inclusive Education: The push towards more inclusive educational practices that accommodate diverse learning needs, including those of students with disabilities, is a significant trend. Education thesis topics could focus on strategies for successful inclusion, the impact of inclusive policies on school culture, and student achievement.
• Lifelong Learning: The concept of lifelong learning has gained momentum, reflecting the continuous need for skill development in a rapidly changing world. Recent trends in education emphasize the importance of fostering lifelong learning habits, making it a compelling area for education thesis topics. These might investigate programs designed to encourage lifelong learning or evaluate methods for teaching skills that facilitate continuous personal and professional development.

Each of these recent trends in education provides a framework for valuable education thesis topics. By focusing on these areas, students can contribute to the dialogue on how best to adapt educational practices to meet the needs of today’s learners and tomorrow’s challenges.

Future Directions in Education

As we look towards the future, education continues to adapt to new challenges and opportunities. Identifying potential advancements and shifts within the field is crucial for students seeking to develop forward-thinking education thesis topics. This section explores several key areas that are likely to shape the future directions in education.

Integration of Emerging Technologies: One of the most anticipated future directions in education is the broader integration of emerging technologies such as blockchain, Internet of Things (IoT), and advanced artificial intelligence. Education thesis topics could explore how these technologies might revolutionize aspects of education management, security, personalized learning, and student assessment, offering new efficiencies and enhancing educational experiences.

• Global Education Systems: As globalization increases, there is a growing emphasis on global education frameworks that can provide consistent educational standards across borders. Future directions in education may involve the development of more unified global education policies and practices. Thesis topics might examine the impacts of these systems on local education traditions, student mobility, and international collaboration.
• Holistic Education Models: There is a shifting focus towards more holistic education models that emphasize not just academic skills but also physical health, mental well-being, and social responsibility. Future directions in education could see these models becoming more mainstream, with education thesis topics exploring the integration of holistic education practices in schools and their effects on student well-being and societal engagement.
• Decentralization of Education: The future might hold more decentralized education models, facilitated by technology, where learning is not confined to traditional classroom settings. Education thesis topics could investigate the potential of decentralized models to democratize access to education, personalize learning experiences, and reduce costs.
• Ethics and Education: As technology becomes more integrated into educational settings, ethical considerations regarding privacy, data security, and equality become increasingly important. Future directions in education will likely need to address these ethical challenges, providing rich areas for thesis research into best practices and regulatory frameworks.
• Lifelong and Lifewide Learning: The concept of lifelong learning is expected to expand into lifewide learning, where education spans multiple aspects of life and careers. Education thesis topics could focus on how educational institutions can support lifelong and lifewide learning paradigms, the impact on career development, and the implications for traditional educational pathways.
• Sustainability and Education: As environmental concerns continue to grow, future directions in education will increasingly need to integrate sustainability into all levels of education. Thesis topics might explore innovative ways to teach sustainability, the effectiveness of these educational programs, and their long-term impacts on environmental consciousness.

These future directions in education offer a broad array of possibilities for education thesis topics, each with the potential to significantly impact how education is delivered and experienced. By focusing on these emerging trends, students can position their research at the cutting edge of educational development, contributing valuable insights and solutions to the evolving challenges of the field.

In conclusion, the exploration of education thesis topics offers a window into the complex, ever-changing world of education. As this article has shown, engaging with current issues, embracing recent trends, and anticipating future directions are critical for students who wish to make impactful contributions through their research. From addressing the challenges of digital learning environments to enhancing strategies for inclusive education, the possibilities are vast and varied. By selecting a thesis topic that resonates with contemporary educational needs and future aspirations, students can contribute to the development of more effective, equitable, and innovative educational practices. Ultimately, the pursuit of these topics not only advances personal academic goals but also serves the larger purpose of enriching the educational experiences of learners around the globe.

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Mathematics Graduate Projects and Theses

Theses/dissertations from 2023 2023.

Association of Lockdown Policies with COVID-19 Early Case Growth Rates in the United States , Anna Barefield

A History of the Hurwitz Problem Concerning Branched Coverings , James Alexander Byars

Theses/Dissertations from 2022 2022

Relationships Between COVID-19 Infection Rates, Healthcare Access, Socioeconomic Status, and Cultural Diversity , MarGhece P. J. Barnes

The Matrix Sortability Problem , Seth Cleaver

Cognitive Demand of Teacher-Created Mathematics Assessments , Megan Marie Schmidt

Waring Rank and Apolarity of Some Symmetric Polynomials , Max Brian Sullivan

Security Analysis of Lightweight Cryptographic Primitives , William Unger

Regression Analysis of Resilience and COVID-19 in Idaho Counties , Ishrat Zaman

Theses/Dissertations from 2021 2021

Tukey Morphisms Between Finite Binary Relations , Rhett Barton

A Data Adaptive Model for Retail Sales of Electricity , Johanna Marcelia

Exploring the Beginnings of Algebraic K-Theory , Sarah Schott

Zariski Geometries and Quantum Mechanics , Milan Zanussi

Theses/Dissertations from 2020 2020

The Directed Forest Complex of Cayley Graphs , Kennedy Courtney

Beliefs About Effective Instructional Practices Among Middle Grades Teachers of Mathematics , Lauren A. Dale

Analytic Solutions for Diffusion on Path Graphs and Its Application to the Modeling of the Evolution of Electrically Indiscernible Conformational States of Lysenin , K. Summer Ware

Theses/Dissertations from 2019 2019

Dynamic Sampling Versions of Popular SPC Charts for Big Data Analysis , Samuel Anyaso-Samuel

Computable Reducibility of Equivalence Relations , Marcello Gianni Krakoff

On the Fundamental Group of Plane Curve Complements , Mitchell Scofield

Radial Basis Function Finite Difference Approximations of the Laplace-Beltrami Operator , Sage Byron Shaw

Formally Verifying Peano Arithmetic , Morgan Sinclaire

Theses/Dissertations from 2018 2018

Selective Strong Screenability , Isaac Joseph Coombs

Mathematics Student Achievement in the Context of Idaho’s Advanced Opportunities Initiative , Nichole K. Hall

Secure MultiParty Protocol for Differentially-Private Data Release , Anthony Harris

Theses/Dissertations from 2017 2017

A Stable Algorithm for Divergence-Free and Curl-Free Radial Basis Functions in the Flat Limit , Kathryn Primrose Drake

The Classification Problem for Models of ZFC , Samuel Dworetzky

Joint Inversion of Compact Operators , James Ford

Trend and Return Level of Extreme Snow Events in New York City , Mintaek Lee

Multi-Rate Runge-Kutta-Chebyshev Time Stepping for Parabolic Equations on Adaptively Refined Meshes , Talin Mirzakhanian

Investigating College Instructors’ Methods of Differentiation and Derivatives in Calculus Classes , Wedad Mubaraki

The Random Graph and Reciprocity Laws , Spencer M. Nelson

Classification of Vertex-Transitive Structures , Stephanie Potter

Theses/Dissertations from 2016 2016

On the Conjugacy Problem for Automorphisms of Trees , Kyle Douglas Beserra

The Density Topology on the Reals with Analogues on Other Spaces , Stuart Nygard

Latin Squares and Their Applications to Cryptography , Nathan O. Schmidt

Solution Techniques and Error Analysis of General Classes of Partial Differential Equations , Wijayasinghe Arachchige Waruni Nisansala Wijayasinghe

Numerical Computing with Functions on the Sphere and Disk , Heather Denise Wilber

Theses/Dissertations from 2015 2015

The Classical Theory of Rearrangements , Monica Josue Agana

Nonlinear Partial Differential Equations, Their Solutions, and Properties , Prasanna Bandara

The Impact of a Quantitative Reasoning Instructional Approach to Linear Equations in Two Variables on Student Achievement and Student Thinking About Linearity , Paul Thomas Belue

Student Understanding of Function and Success in Calculus , Daniel I. Drlik

Monodromy Representation of the Braid Group , Phillip W. Hart

The Frobenius Problem , Anna Marie Megale

Theses/Dissertations from 2014 2014

Pi-1-1-determinacy and Sharps , Shehzad Ahmed

A Radial Basis Function Partition of Unity Method for Transport on the Sphere , Kevin Aiton

Diagrammatically Reducible 2-Complexes , Tyler Allyn

A Stochastic Parameter Regression Model for Long Memory Time Series , Rose Marie Ocker

Theses/Dissertations from 2013 2013

The Assignment Packet Grading System , Sarah Nichole Bruce

Using Learner-Generated Examples to Support Student Understanding of Functions , Martha Ottelia Dinkelman

Computing Curvature and Curvature Normals on Smooth Logically Cartesian Surface Meshes , John Thomas Hutchins

Schur's Theorem and Related Topics in Ramsey Theory , Summer Lynne Kisner

Theses/Dissertations from 2012 2012

On the Geometry of Virtual Knots , Rachel Elizabeth Byrd

A Stochastic Parameter Regression Approach for Time-Varying Relationship between Gold and Silver Prices , Birsen Canan-McGlone

Uncertainty Analysis of RELAP5-3D© , Alexandra E. Gertman and George L. Mesina

A Statistical Method for Regularizing Nonlinear Inverse Problems , Chad Clifton Hammerquist

Perfect Stripes from a General Turing Model in Different Geometries , Jean Tyson Schneider

Stability and Convergence for Nonlinear Partial Differential Equations , Oday Mohammed Waheeb

Regular Homotopy of Closed Curves on Surfaces , Katherine Kylee Zebedeo

Theses/Dissertations from 2011 2011

Coloring Problems , Thomas Antonio Charles Chartier

Modules Over Localized Group Rings for Groups Mapping Onto Free Groups , Nicholas Davidson

How Do We Help Students Interpret Contingency Tables? A Study on the Use of Proportional Reasoning as an Intervention , Kathleen M. Isaacson

A Fictitious Point Method for Handling Boundary Conditions in the RBF-FD Method , Joseph Lohmeier

Theses/Dissertations from 2010 2010

Developmental Understanding of the Equals Sign and Its Effects on Success in Algebra , Ryan W. Brown

The Inquiry Learning Model as an Approach to Mathematics Instruction , Michael C. Brune

Galois Theory for Differential Equations , Soheila Eghbali

Stably Free Modules Over the Klein Bottle , Andrew Misseldine

Combinatorics and Topology of Curves and Knots , Bailey Ann Ross

Theses/Dissertations from 2009 2009

Concept Booklets: Examining the Performance Effects of Journaling of Mathematics Course Concepts , Todd Stephen Fogdall

Effective Sample Size in Order Statistics of Correlated Data , Neill McGrath

Transparency in Formal Proof , Cap Petschulat

Weight Selection by Misfit Surfaces for Least Squares Estimation , Garrett Saunders

The Effects of a Standards-Based Mathematics Curriculum on the Self-Efficacy and Academic Achievement of Previously Unsuccessful Students , Cindy Chesley Shaw

Analytical Upstream Collocation Solution of a Quadratic Forced Steady-State Convection-Diffusion Equation , Eric Paul Smith

Solvability Characterizations of Pell Like Equations , Jason Smith

Theses/Dissertations from 2008 2008

Tube-Equivalence of Spanning Surfaces and Seifert Surfaces , Thomas Glass

Simple Tests for Short Memory in ARFIMA Models , Timothy A. C. Hughes

Incomparable Metrics on the Cantor Space , Trevor Jack

Richards' Equation and Its Constitutive Relations as a System of Differential-Algebraic Equations , Shannon K. Murray

Theses/Dissertations from 2007 2007

Theorem Proving in Elementary Analysis , Joanna Porter Guild

An Investigation of Lucas Sequences , Dustin E. Hinkel

A Canonical Countryman Line , William Russell Hudson

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Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2024 2024.

The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan

On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest

Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo

Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain

Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang

Theses/Dissertations from 2023 2023

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Theses/Dissertations from 2022 2022

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

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Senior Thesis

This page is for Undergraduate Senior Theses.  For Ph.D. Theses, see here .

A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ‘ Honors in Mathematics ’ for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors: The document ‘ Faculty research areas ’ lists the research interests of current members of the Math Department.

So that Math Department senior theses can more easily benefit other undergraduate, we would like to exhibit more senior theses online (while all theses are available through Harvard University Archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files.

If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled from comments of students and faculty in preparation for, and during, an information session. Let Wes Cain ([email protected]) know if you have any questions not addressed in the document.

Department of Mathematics

• Recent PhD Theses

• Prospective Graduate Student FAQ
• Graduate Board Oral Exam
• Graduate Courses
• Qualifying Exams
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• Qingci An  (F. Lu) Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems
• Letian Chen  (J. Bernstein) On Mean Curvature Flows coming out of Cones
• Ben Dees  (C. Mese) On the Singular Sets of Harmonic Maps into F -Connected Complexes
• Lili He  (H. Lindblad) The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes
• Kalyani Kansal  (D. Savitt) Codimension one intersections between components of the Emerton-Gee stack for  GL 2
• Quanjun Lang  (F. Lu) Learning kernels with nonlocal dependence in mean-field equations and the extension problem on Dirichlet space
• Yujie Luo  (Y. Sire) Minimal log discrepancy and its applications in birational geometry
• Keaton Stubis (D. Savitt) Eisenstein Series with Class Number Coefficients Constructed from the Weil Representation
• Rong Tang  (Y. Sire) Nonlocal Filtration Equations and Fractional Curvature Flows
• Xiangze Zeng (V. Shokurov) Boundedness of n -Complements on Algebraic Surfaces
• Zehong Zhang  (F. Lu) Multi-agent systems: observability, classification and clustering prediction
• Luochen Zhao  (Y. Sakellaridis) Topics in p -adic analysis
• Tslil Clingman  (E. Riehl) Towards a theory of proof relevant categories
• Zongyipoan Lin  (D. Savitt) Crystalline lifts of Galois representations
• David Myers  (E. Riehl) Symmetry, Geometry, Modality
• Caroline VanBlargan  (Y. Wang) Stability of Quermassintegral Inequalities
• Junyan Zhang  (H. Lindblad) The Free-Boundary Problems in Inviscid Magnetohydrodynamics with or without Surface Tension
• Jin Zhou  (M. Maggioni) Learning multiscale approximations of functions between manifolds
• Daniel Fuentes-Keuthan  (E. Riehl) Goodwillie Towers of Infinity Categories and Desuspension
• Xiaoqi Huang  (C. Sogge) Weyl formulae for Schrödinger operators with critically singular potentials
• Hanveen Koh  (B. Smithling) Towards a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group
• Patrick Martin  (M. Maggioni) Multiplicatively Perturbed Least Squares for Dimension Reduction
• Xiyuan Wang  (D. Savitt) Topics in Galois representations

Jordan Paschke  (C. Sogge) Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections

• Daniel Ginsberg  (H. Lindblad) The free boundary problem for Euler’s equations
• Apurva Nakade  (N. Kitchloo) Manifold Calculus and Convex Integration
• Cheng Zhang  (C. Sogge) Oscillatory Integrals and Eigenfunction Restriction Estimates
• Zehua Zhao  (B. Dodson) Long time dynamics for nonlinear Schrödinger equations at critical regularity

Older Theses

• Christopher Kauffman  (H. Lindblad) Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
• Harry Lang  (M. Maggioni) Streaming Coresets for High-Dimensional Geometry
• Tianyi Ren  (C. Sogge) Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
• Shengwen Wang  (J. Bernstein) Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
• Emmett Wyman  (C. Sogge) Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature
• Ben Diamond  (C. Consani) Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
• Chenyun Luo  (H. Lindblad) On the motion of the free surface of a compressible liquid
• Yakun Xi  (C. Sogge) Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.
• Jon Beardsley  (J. Morava) Coalgebraic Structure and Intermediate Hopf-Galois Extensions of Thom Spectra in Quasicategories
• Stephen Cattell  (N. Kitchloo) The Completion of Dominant K-Theory
• Po-Yao Chang  (J. Spruck) S elf-shrinkers to the mean curvature flow asymptotic to isoparametric cones
• Vitaly Lorman  (N. Kitchloo) Real Johnson-Wilson Theories and Computations
• Kalina Mincheva  (C. Consani) Semiring Congruences and Tropical Geometry
• Chenyang Su  (J. Spruck) Starshaped locally convex hypersurfaces with curvature and boundary
• Jai Ung Jun  (C. Consani) Algebraic geometry over semi-structure and hyper-structure of characteristic one
• John Ross  (W. Minicozzi) Rigidity Results of Lambda-Hypersurfaces
• Jeffrey Tolliver  (C. Consani) Hyperstructures and Idempotent Semistructures
• Xing Wang  (C. Sogge) Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
• Min Xue  (C. Sogge) Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
• Junyan Zhu  (B. Shiffman) Hole Probabilities of SU(m+1) Gaussian Random Polynomials
• Arash Karami  (B. Shiffman) Zeros of random Reinhardt polynomials
• Matthew McGonagle  (W. Minicozzi) The Gaussian Isoperimetric Problem and the Self-Shrinkers of Mean Curvature Flow
• Duncan Sinclair  (C. Mese) Heat Kernels on Riemannian Polyhedra and Heat Flows into NPC Manifolds
• Hongtan Sun  (C. Sogge) Strichartz Estimates for Wave and Schrödinger Equations on Hyperbolic Trapped Domains
• Tim Tran  (B. Shiffman) Continuity of the Asymptotics of Expected Zeros of Fewnomials
• Xuehua Chen  (C. Sogge) An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
• Leili Shahriyari  (W. Minicozzi) Translating graphs by mean curvature flow
• Peng Shao  (C. Sogge) Sobolev resolvent estimates for the Laplace-Beltrami operator on compact manifolds
• Ling Xiao  (J. Spruck) Flow Problems in Hyperbolic Space
• Sinan Ariturk  (C. Sogge) Concentration and vanishing of eigenfunctions on a manifold with boundary
• Caleb Hussey  (W. Minicozzi) Classification and analysis of low index mean curvature flow self-shrinkers
• Jingzhou Sun  (B. Shiffman) Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
• Joseph Cutrone  (V. Shokurov) Symmetric Sarkisov Links of Fano Threefolds
• Michael Limarzi  (T. Ono) On a Cohomological Study of Heisenberg Groups over The Ring of Algebraic Integers
• Longzhi Lin  (W. Minicozzi) On the existence of closed geodesics and uniqueness of weakly harmonic maps
• Nicholas Marshburn  (V. Shokurov) Smooth Weak Fano Threefolds
• Xin Yu  (C. Sogge) Strichartz Estimates and Strauss Conjecture on Various Settings
• John Baber  (B. Shiffman) Scaled correlations of critical points of random sections on Riemann surfaces
• Romie Banerjee  (J. Boardman, S. Wilson) Real Johnson-Wilson theories and non-immersions of projective spaces
• Jonathan Dahl  (C. Mese) Existence and structure of solutions of Steiner problems in optimal transport
• Stephen Kleene  (W. Minicozzi) Singular behavior of minimal surfaces and mean curvature flow
• Susama Agarwala  (J. Morava) The geometry of renormalization
• Abhishek Banerjee  (C. Consani) Nearby cycles, Archimedean complex and periodicity in cyclic homology
• Christine Breiner  (W. Minicozzi) Embedded minimal surfaces of finite topology and one end
• Yifei Chen  (V. Shokurov) Strong rational connectedness of toric varieties
• Jing-Cheng Jiang  (C. Sogge) Bilinear Strichartz estimates in two dimensional compact manifolds and cubic nonlinear Schrödinger equations
• Hamid Hezari  (S. Zelditch) Eigenvalues and eigenfunctions of Schrödinger operators: Inverse spectral theory; and the zeros of eigenfunctions
• Siddique Khan  (W. Minicozzi) Embedded minimal disks with curvature blow-up on a line segment
• Joel Kramer  (W. Minicozzi) Embedded minimal spheres in 3-manifolds
• Reza Seyyedali  (R. Wentworth) Balanced metrics in Kahler geometry
• Thomas Wright  (T. Ono) On convergence of singular series for a pair of quadratic Forms
• Patrick Zulkowski  (C. Mese) The Plateau problem in Alexandrov spaces satisfying the Perel’man conjecture
• Benjamin Baugher  (S. Zelditch) Statistics of critical points in Kahler geometry and string theory
• Sung Rak Choi  (V. Shokurov) The geography of log models and its applications
• Brian Macdonald  (B. Shiffman) Statistics of non-real zeros and critical points of systems of real random polynomials in several variables
• Shuai Wang  (T. Ono) On a certain triple system, elliptic curves and Gauss theory of quadratic forms
• Qi Zhong  (S. Zelditch) Energies of zeros of random sections on Riemann surfaces

Scott Zrebiec  (B. Shiffman) Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions

• Ann Stewart  (C. Sogge) Existence theorems for some nonlinear hyperbolic equations on a waveguide
• Hsin-Hao Su  (J. Boardman) The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)
• Giuseppe Tinaglia  (W. Minicozzi) Multi-valued Graphs In Embedded Constant Mean Curvature Disks
• Mike Krebs  (R. Wentworth) Toledo Invariants on 2-Orbifolds
• Eun-Kyoung Lee  (T. Ono) On Certain Cohomological Invariants of Algebraic Number Fields
• Brian Dean  (W. Minicozzi) Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds
• Seok-Min Lee  (T. Ono) On Certain Cohomological Invariants of Quadratic Number Fields
• Sirong Zhang  (W. Minicozzi) Curvature Estimates for Constant Mean Curvature Surfaces in Three Manifolds
• Xiangjin Xu  (C. Sogge) Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem
• Byungchul Cha  (C. Popescu) Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves
• Jason Metcalfe  (C. Sogge) Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle

Jung-Jo Lee  (J. Shalika) Bounding Ranks of Elliptic Curves

• Jihun Park  (V. Shokurov) Fano Fibrations Over a Discrete Valuation Ring
• Ramin Takloo-Bighash  (J. Shalika) The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group
• Takeshi Torii  (J. Morava) One Dimensional Formal Group Laws of Height N and N-1
• Alexandru Tupan  (V. Kolyvagin) Congruences for Modular Forms
• Hemin Yang  (J. Boardman, W. Wilson) The Hit Problem for w (4) over F 2  by Differential Operator Algebra
• Ivan Cheltsov  (V. Shokurov) Log Models of Birationally Rigid Varieties
• Joshua Neuheisel  (S. Zelditch) The Asymptotic Distribution of Nodal Sets on Spheres
• Diego Socolinsky  (J. Spruck) A Variational Approach to Image Fusion
• Terutake Abe  (V. Shokurov) Classification of Exceptional Surface Complements
• Florin Ambro  (V. Shokurov) The Adjunction Conjecture Applications
• Satyan Devadoss  (J. Morava) Tessellations of Moduli Spaces and the Mosaic Operad
• Heuisu Ryu  (V. Kolyvagin) Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves
• Guoling Tong  (J. Shalika) The Shimura Integral and the Standard L-function of U(3)

Megamenu Global

Megamenu featured, megamenu social, math/stats thesis and colloquium topics.

Updated: April 2024

Math/Stats Thesis and Colloquium Topics 2024- 2025

The degree with honors in Mathematics or Statistics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core material and skills, breadth and, particularly, depth of knowledge beyond the core material, ability to pursue independent study of mathematics or statistics, originality in methods of investigation, and, where appropriate, creativity in research.

An honors program normally consists of two semesters (MATH/STAT 493 and 494) and a winter study (WSP 031) of independent research, culminating in a thesis and a presentation. Under certain circumstances, the honors work can consist of coordinated study involving a one semester (MATH/STAT 493 or 494) and a winter study (WSP 030) of independent research, culminating in a “minithesis” and a presentation. At least one semester should be in addition to the major requirements, and thesis courses do not count as 400-level senior seminars.

An honors program in actuarial studies requires significant achievement on four appropriate examinations of the Society of Actuaries.

Highest honors will be reserved for the rare student who has displayed exceptional ability, achievement or originality. Such a student usually will have written a thesis, or pursued actuarial honors and written a mini-thesis. An outstanding student who writes a mini-thesis, or pursues actuarial honors and writes a paper, might also be considered. In all cases, the award of honors and highest honors is the decision of the Department.

Here is a list of possible colloquium topics that different faculty are willing and eager to advise. You can talk to several faculty about any colloquium topic, the sooner the better, at least a month or two before your talk. For various reasons faculty may or may not be willing or able to advise your colloquium, which is another reason to start early.

RESEARCH INTERESTS OF MATHEMATICS AND STATISTICS FACULTY

Here is a list of faculty interests and possible thesis topics.  You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty.

Colin Adams (On Leave 2024 – 2025)

Research interests:   Topology and tiling theory.  I work in low-dimensional topology.  Specifically, I work in the two fields of knot theory and hyperbolic 3-manifold theory and develop the connections between the two. Knot theory is the study of knotted circles in 3-space, and it has applications to chemistry, biology and physics.  I am also interested in tiling theory and have been working with students in this area as well.

Hyperbolic 3-manifold theory utilizes hyperbolic geometry to understand 3-manifolds, which can be thought of as possible models of the spatial universe.

Possible thesis topics:

• Investigate various aspects of virtual knots, a generalization of knots.
• Consider hyperbolicity of virtual knots, building on previous SMALL work. For which virtual knots can you prove hyperbolicity?
• Investigate why certain virtual knots have the same hyperbolic volume.
• Consider the minimal Turaev volume of virtual knots, building on previous SMALL work.
• Investigate which knots have totally geodesic Seifert surfaces. In particular, figure out how to interpret this question for virtual knots.
• Investigate n-crossing number of knots. An n-crossing is a crossing with n strands of the knot passing through it. Every knot can be drawn in a picture with only n-crossings in it. The least number of n-crossings is called the n-crossing number. Determine the n-crossing number for various n and various families of knots.
• An übercrossing projection of a knot is a projection with just one n-crossing. The übercrossing number of a knot is the least n for which there is such an übercrossing projection. Determine the übercrossing number for various knots, and see how it relates to other traditional knot invariants.
• A petal projection of a knot is a projection with just one n-crossing such that none of the loops coming out of the crossing are nested. In other words, the projection looks like a daisy. The petal number of a knot is the least n for such a projection. Determine petal number for various knots, and see how it relates to other traditional knot invariants.
• In a recent paper, we extended petal number to virtual knots. Show that the virtual petal number of a classical knot is equal to the classical petal number of the knot (This is a GOOD question!)
• Similarly, show that the virtual n-crossing number of a classical knot is equal to the classical n-crossing number. (This is known for n = 2.)
• Find tilings of the branched sphere by regular polygons. This would extend work of previous research students. There are lots of interesting open problems about something as simple as tilings of the sphere.
• Other related topics.

Possible colloquium topics : Particularly interested in topology, knot theory, graph theory, tiling theory and geometry but will consider other topics.

Christina Athanasouli

Research Interests:   Differential equations, dynamical systems (both smooth and non-smooth), mathematical modeling with applications in biological and mechanical systems

My research focuses on analyzing mathematical models that describe various phenomena in Mathematical Neuroscience and Engineering. In particular, I work on understanding 1) the underlying mechanisms of human sleep (e.g. how sleep patterns change with development or due to perturbations), and 2) potential design or physical factors that may influence the dynamics in vibro-impact mechanical systems for the purpose of harvesting energy. Mathematically, I use various techniques from dynamical systems and incorporate both numerical and analytical tools in my work. 

Possible colloquium topics:   Topics in applied mathematics, such as:

• Mathematical modeling of sleep-wake regulation
• Mathematical modeling vibro-impact systems
• Bifurcations/dynamics of mathematical models in Mathematical Neuroscience and Engineering
• Bifurcations in piecewise-smooth dynamical systems

Julie Blackwood

Research Interests:   Mathematical modeling, theoretical ecology, population biology, differential equations, dynamical systems.

My research uses mathematical models to uncover the complex mechanisms generating ecological dynamics, and when applicable emphasis is placed on evaluating intervention programs. My research is in various ecological areas including ( I ) invasive species management by using mathematical and economic models to evaluate the costs and benefits of control strategies, and ( II ) disease ecology by evaluating competing mathematical models of the transmission dynamics for both human and wildlife diseases.

• Mathematical modeling of invasive species
• Mathematical modeling of vector-borne or directly transmitted diseases
• Developing mathematical models to manage vector-borne diseases through vector control
• Other relevant topics of interest in mathematical biology

Each topic (1-3) can focus on a case study of a particular invasive species or disease, and/or can investigate the effects of ecological properties (spatial structure, resource availability, contact structure, etc.) of the system.

Possible colloquium topics:   Any topics in applied mathematics, such as:

Research Interest :  Statistical methodology and applications.  One of my research topics is variable selection for high-dimensional data.  I am interested in traditional and modern approaches for selecting variables from a large candidate set in different settings and studying the corresponding theoretical properties. The settings include linear model, partial linear model, survival analysis, dynamic networks, etc.  Another part of my research studies the mediation model, which examines the underlying mechanism of how variables relate to each other.  My research also involves applying existing methods and developing new procedures to model the correlated observations and capture the time-varying effect.  I am also interested in applications of data mining and statistical learning methods, e.g., their applications in analyzing the rhetorical styles in English text data.

• Variable selection uses modern techniques such as penalization and screening methods for several different parametric and semi-parametric models.
• Extension of the classic mediation models to settings with correlated, longitudinal, or high-dimensional mediators. We could also explore ways to reduce the dimensionality and simplify the structure of mediators to have a stable model that is also easier to interpret.
• We shall analyze the English text dataset processed by the Docuscope environment with tools for corpus-based rhetorical analysis. The data have a hierarchical structure and contain rich information about the rhetorical styles used. We could apply statistical models and statistical learning algorithms to reduce dimensions and gain a more insightful understanding of the text.

Possible colloquium topics:  I am open to any problems in statistical methodology and applications, not limited to my research interests and the possible thesis topics above.

Richard De Veaux 

Research interests: Statistics.

My research interests are in both statistical methodology and in statistical applications.  For the first, I look at different methods and try to understand why some methods work well in particular settings, or more creatively, to try to come up with new methods.  For the second, I work in collaboration with an investigator (e.g. scientist, doctor, marketing analyst) on a particular statistical application.  I have been especially interested in problems dealing with large data sets and the associated modeling tools that work for these problems.

• Human Performance and Aging.I have been working on models for assessing the effect of age on performance in running and swimming events. There is still much work to do. So far I’ve looked at masters’ freestyle swimming and running data and a handicapped race in California, but there are world records for each age group and other events in running and swimming that I’ve not incorporated. There are also many other types of events.
• Variable Selection.  How do we choose variables when we have dozens, hundreds or even thousands of potential predictors? Various model selection strategies exist, but there is still a lot of work to be done to find out which ones work under what assumptions and conditions.
• Problems at the interface.In this era of Big Data, not all methods of classical statistics can be applied in practice. What methods scale up well, and what advances in computer science give insights into the statistical methods that are best suited to large data sets?
• Applying statistical methods to problems in science or social science.In collaboration with a scientist or social scientist, find a problem for which statistical analysis plays a key role.

Possible colloquium topics:

• Almost any topic in statistics that extends things you’ve learned in courses —  specifically topics in Experimental design, regression techniques or machine learning
• Model selection problems

Thomas Garrity (On Leave 2024 – 2025)

Research interest:   Number Theory and Dynamics.

My area of research is officially called “multi-dimensional continued fraction algorithms,” an area that touches many different branches of mathematics (which is one reason it is both interesting and rich).  In recent years, students writing theses with me have used serious tools from geometry, dynamics, ergodic theory, functional analysis, linear algebra, differentiability conditions, and combinatorics.  (No single person has used all of these tools.)  It is an area to see how mathematics is truly interrelated, forming one coherent whole.

While my original interest in this area stemmed from trying to find interesting methods for expressing real numbers as sequences of integers (the Hermite problem), over the years this has led to me interacting with many different mathematicians, and to me learning a whole lot of math.  My theses students have had much the same experiences, including the emotional rush of discovery and the occasional despair of frustration.  The whole experience of writing a thesis should be intense, and ultimately rewarding.   Also, since this area of math has so many facets and has so many entrance points, I have had thesis students from wildly different mathematical backgrounds do wonderful work; hence all welcome.

• Generalizations of continued fractions.
• Using algebraic geometry to study real submanifolds of complex spaces.

Possible colloquium topics:   Any interesting topic in mathematics.

Leo Goldmakher

Research interests:   Number theory and arithmetic combinatorics.

I’m interested in quantifying structure and randomness within naturally occurring sets or sequences, such as the prime numbers, or the sequence of coefficients of a continued fraction, or a subset of a vector space. Doing so typically involves using ideas from analysis, probability, algebra, and combinatorics.

Possible thesis topics:  

Anything in number theory or arithmetic combinatorics.

Possible colloquium topics:   I’m happy to advise a colloquium in any area of math.

Susan Loepp

Research interests: Commutative Algebra.  I study algebraic structures called commutative rings.  Specifically, I have been investigating the relationship between local rings and their completion.  One defines the completion of a ring by first defining a metric on the ring and then completing the ring with respect to that metric.  I am interested in what kinds of algebraic properties a ring and its completion share.  This relationship has proven to be intricate and quite surprising.  I am also interested in the theory of tight closure, and Homological Algebra.

Topics in Commutative Algebra including:

• Using completions to construct Noetherian rings with unusual prime ideal structures.
• What prime ideals of C[[ x 1 ,…, x n ]] can be maximal in the generic formal fiber of a ring? More generally, characterize what sets of prime ideals of a complete local ring can occur in the generic formal fiber.
• Characterize what sets of prime ideals of a complete local ring can occur in formal fibers of ideals with height n where n ≥1.
• Characterize which complete local rings are the completion of an excellent unique factorization domain.
• Explore the relationship between the formal fibers of R and S where S is a flat extension of R .
• Determine which complete local rings are the completion of a catenary integral domain.
• Determine which complete local rings are the completion of a catenary unique factorization domain.

Possible colloquium topics:   Any topics in mathematics and especially commutative algebra/ring theory.

Steven Miller

For more information and references, see http://www.williams.edu/Mathematics/sjmiller/public_html/index.htm

Research interests :  Analytic number theory, random matrix theory, probability and statistics, graph theory.

My main research interest is in the distribution of zeros of L-functions.  The most studied of these is the Riemann zeta function, Sum_{n=1 to oo} 1/n^s.  The importance of this function becomes apparent when we notice that it can also be written as Prod_{p prime} 1 / (1 – 1/p^s); this function relates properties of the primes to those of the integers (and we know where the integers are!).  It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory.  Interestingly, a terrific model for these zeros is given by random matrix theory: choose a large matrix at random and study its eigenvalues.  This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico!  I’m studying several problems in random matrix theory, which also have applications to graph theory (building efficient networks).  I am also working on several problems in probability and statistics, especially (but not limited to) sabermetrics (applying mathematical statistics to baseball) and Benford’s law of digit bias (which is often connected to fascinating questions about equidistribution).  Many data sets have a preponderance of first digits equal to 1 (look at the first million Fibonacci numbers, and you’ll see a leading digit of 1 about 30% of the time).  In addition to being of theoretical interest, applications range from the IRS (which uses it to detect tax fraud) to computer science (building more efficient computers).  I’m exploring the subject with several colleagues in fields ranging from accounting to engineering to the social sciences.

Possible thesis topics: 

• Theoretical models for zeros of elliptic curve L-functions (in the number field and function field cases).
• Studying lower order term behavior in zeros of L-functions.
• Studying the distribution of eigenvalues of sets of random matrices.
• Exploring Benford’s law of digit bias (both its theory and applications, such as image, voter and tax fraud).
• Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics.
• Additive number theory (questions on sum and difference sets).

Possible colloquium topics: 

Plus anything you find interesting.  I’m also interested in applications, and have worked on subjects ranging from accounting to computer science to geology to marketing….

Ralph Morrison

Research interests:   I work in algebraic geometry, tropical geometry, graph theory (especially chip-firing games on graphs), and discrete geometry, as well as computer implementations that study these topics. Algebraic geometry is the study of solution sets to polynomial equations.  Such a solution set is called a variety.  Tropical geometry is a “skeletonized” version of algebraic geometry. We can take a classical variety and “tropicalize” it, giving us a tropical variety, which is a piecewise-linear subset of Euclidean space.  Tropical geometry combines combinatorics, discrete geometry, and graph theory with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties.  One flavor of this area of math is to study chip-firing games on graphs, which are motivated by (and applied to) questions about algebraic curves.

Possible thesis topics : Anything related to tropical geometry, algebraic geometry, chip-firing games (or other graph theory topics), and discrete geometry.  Here are a few specific topics/questions:

• Study the geometry of tropical plane curves, perhaps motivated by results from algebraic geometry.  For instance:  given 5 (algebraic) conics, there are 3264 conics that are tangent to all 5 of them.  What if we look at tropical conics–is there still a fixed number of tropical conics tangent to all of them?  If so, what is that number?  How does this tropical count relate to the algebraic count?
• What can tropical plane curves “look like”?  There are a few ways to make this question precise.  One common way is to look at the “skeleton” of a tropical curve, a graph that lives inside of the curve and contains most of the interesting data.  Which graphs can appear, and what can the lengths of its edges be?  I’ve done lots of work with students on these sorts of questions, but there are many open questions!
• What can tropical surfaces in three-dimensional space look like?  What is the version of a skeleton here?  (For instance, a tropical surface of degree 4 contains a distinguished polyhedron with at most 63 facets. Which polyhedra are possible?)
• Study the geometry of tropical curves obtained by intersecting two tropical surfaces.  For instance, if we intersect a tropical plane with a tropical surface of degree 4, we obtain a tropical curve whose skeleton has three loops.  How can those loops be arranged?  Or we could intersect degree 2 and degree 3 tropical surfaces, to get a tropical curve with 4 loops; which skeletons are possible there?
• One way to study tropical geometry is to replace the usual rules of arithmetic (plus and times) with new rules (min and plus).  How do topics like linear algebra work in these fields?  (It turns out they’re related to optimization, scheduling, and job assignment problems.)
• Chip-firing games on graphs model questions from algebraic geometry.  One of the most important comes in the “gonality” of a graph, which is the smallest number of chips on a graph that could eliminate (via a series of “chip-firing moves”) an added debt of -1 anywhere on the graph.  There are lots of open questions for studying the gonality of graphs; this include general questions, like “What are good lower bounds on gonality?” and specific ones, like “What’s the gonality of the n-dimensional hypercube graph?”
• We can also study versions of gonality where we place -r chips instead of just -1; this gives us the r^th gonality of a graph.  Together, the first, second, third, etc. gonalities form the “gonality sequence” of a graph.  What sequences of integers can be the gonality sequence of some graph?  Is there a graph whose gonality sequence starts 3, 5, 8?
• There are many computational and algorithmic questions to ask about chip-firing games.  It’s known that computing the gonality of a general graph is NP-hard; what if we restrict to planar graphs?  Or graphs that are 3-regular? And can we implement relatively efficient ways of computing these numbers, at least for small graphs?
• What if we changed our rules for chip-firing games, for instance by working with chips modulo N?  How can we “win” a chip-firing game in that context, since there’s no more notion of debt?
• Study a “graph throttling” version of gonality.  For instance, instead of minimizing the number of chips we place on the graph, maybe we can also try to decrease the number of chip-firing moves we need to eliminate debt.
• Chip-firing games lead to interesting questions on other topics in graph theory.  For instance, there’s a conjectured upper bound of (|E|-|V|+4)/2 on the gonality of a graph; and any graph is known to have gonality at least its tree-width.  Can we prove the (weaker) result that (|E|-|V|+4)/2 is an upper bound on tree-width?  (Such a result would be of interest to graph theorists, even the idea behind it comes from algebraic geometry!)
• Topics coming from discrete geometry.  For example:  suppose you want to make “string art”, where you have one shape inside of another with string weaving between the inside and the outside shapes.  For which pairs of shapes is this possible?

Possible Colloquium topics:   I’m happy to advise a talk in any area of math, but would be especially excited about talks related to algebra, geometry, graph theory, or discrete mathematics.

Shaoyang Ning (On Leave 2024 – 2025)

Research Interest :  Statistical methodologies and applications. My research focuses on the study and design of statistical methods for integrative data analysis, in particular, to address the challenges of increasing complexity and connectivity arising from “Big Data”. I’m interested in innovating statistical methods that efficiently integrate multi-source, multi-resolution information to solve real-life problems. Instances include tracking localized influenza with Google search data and predicting cancer-targeting drugs with high-throughput genetic profiling data. Other interests include Bayesian methods, copula modeling, and nonparametric methods.

• Digital (disease) tracking: Using Internet search data to track and predict influenza activities at different resolutions (nation, region, state, city); Integrating other sources of digital data (e.g. Twitter, Facebook) and/or extending to track other epidemics and social/economic events, such as dengue, presidential approval rates, employment rates, and etc.
• Predicting cancer drugs with multi-source profiling data: Developing new methods to aggregate genetic profiling data of different sources (e.g., mutations, expression levels, CRISPR knockouts, drug experiments) in cancer cell lines to identify potential cancer-targeting drugs, their modes of actions and genetic targets.
• Social media text mining: Developing new methods to analyze and extract information from social media data (e.g. Reddit, Twitter). What are the challenges in analyzing the large-volume but short-length social media data? Can classic methods still apply? How should we innovate to address these difficulties?
• Copula modeling: How do we model and estimate associations between different variables when they are beyond multivariate Normal? What if the data are heavily dependent in the tails of their distributions (commonly observed in stock prices)? What if dependence between data are non-symmetric and complex? When the size of data is limited but the dimension is large, can we still recover their correlation structures? Copula model enables to “link” the marginals of a multivariate random variable to its joint distribution with great flexibility and can just be the key to the questions above.
• Other cross-disciplinary, data-driven projects: Applying/developing statistical methodology to answer an interesting scientific question in collaboration with a scientist or social scientist.

Possible colloquium topics:   Any topics in statistical methodology and application, including but not limited to: topics in applied statistics, Bayesian methods, computational biology, statistical learning, “Big Data” mining, and other cross-disciplinary projects.

Anna Neufeld

Research interests:  My research is motivated by the gap between classical statistical tools and practical data analysis. Classic statistical tools are designed for testing a single hypothesis about a single, pre-specified model. However, modern data analysis is an adaptive process that involves exploring the data, fitting several models, evaluating these models, and then testing a potentially large number of hypotheses about one or more selected models. With this in mind, I am interested in topics such as (1) methods for model validation and selection, (2) methods for testing data-driven hypotheses (post-selection inference), and (3) methods for testing a large number of hypotheses. I am also interested in any applied project where I can help a scientist rigorously answer an important question using data. 

• Cross-validation for unsupervised learning. Cross-validation is one of the most widely-used tools for model validation, but, in its typical form, it cannot be used for unsupervised learning problems. Numerous ad-hoc proposals exist for validating unsupervised learning models, but there is a need to compare and contrast these proposals and work towards a unified approach.
• Identifying the number of cell types in single-cell genomics datasets. This is an application of the topic above, since the cell types are typically estimated via unsupervised learning.
• There is growing interest in “post-prediction inference”, which is the task of doing valid statistical inference when some inputs to your statistical model are the outputs of other statistical models (i.e. predictions). Frameworks have recently been proposed for post-prediction inference in the setting where you have access to a gold-standard dataset where the true inputs, rather than the predicted inputs, have been observed. A thesis could explore the possibility of post-prediction inference in the absence of this gold-standard dataset.
• Any other topic of student interest related to selective inference, multiple testing, or post-prediction inference.
• Any collaborative project in which we work with a scientist to identify an interesting question in need of non-standard statistics.
• I am open to advising colloquia in almost any area of statistical methodology or applications, including but not limited to: multiple testing, post-selection inference, post-prediction inference, model selection, model validation, statistical machine learning, unsupervised learning, or genomics.

Allison Pacelli

Research interests:   Math Education, Math & Politics, and Algebraic Number Theory.

Math Education.  Math education is the study of the practice of teaching and learning mathematics, at all levels. For example, do high school calculus students learn best from lecture or inquiry-based learning? What mathematical content knowledge is critical for elementary school math teachers? Is a flipped classroom more effective than a traditional learning format? Many fascinating questions remain, at all levels of education. We can talk further to narrow down project ideas.

Math & Politics.  The mathematics of voting and the mathematics of fair division are two fascinating topics in the field of mathematics and politics. Research questions look at types of voting systems, and the properties that we would want a voting system to satisfy, as well as the idea of fairness when splitting up a single object, like cake, or a collection of objects, such as after a divorce or a death.

Algebraic Number Theory.  The Fundamental Theorem of Arithmetic states that the ring of integers is a unique factorization domain, that is, every integer can be uniquely factored into a product of primes. In other rings, there are analogues of prime numbers, but factorization into primes is not necessarily unique!

In order to determine whether factorization into primes is unique in the ring of integers of a number field or function field, it is useful to study the associated class group – the group of equivalence classes of ideals. The class group is trivial if and only if the ring is a unique factorization domain. Although the study of class groups dates back to Gauss and played a key role in the history of Fermat’s Last Theorem, many basic questions remain open.

  Possible thesis topics:

• Topics in math education, including projects at the elementary school level all the way through college level.
• Topics in voting and fair division.
• Investigating the divisibility of class numbers or the structure of the class group of quadratic fields and higher degree extensions.
• Exploring polynomial analogues of theorems from number theory concerning sums of powers, primes, divisibility, and arithmetic functions.

Possible colloquium topics:   Anything in number theory, algebra, or math & politics.

Anna Plantinga

Research interests:   I am interested in both applied and methodological statistics. My research primarily involves problems related to statistical analysis within genetics, genomics, and in particular the human microbiome (the set of bacteria that live in and on a person).  Current areas of interest include longitudinal data, distance-based analysis methods such as kernel machine regression, high-dimensional data, and structured data.

• Impacts of microbiome volatility. Sometimes the variability of a microbial community is more indicative of an unhealthy community than the actual bacteria present. We have developed an approach to quantifying microbiome variability (“volatility”). This project will use extensive simulations to explore the impact of between-group differences in volatility on a variety of standard tests for association between the microbiome and a health outcome.
• Accounting for excess zeros (sparse feature matrices). Often in a data matrix with many zeros, some of the zeros are “true” or “structural” zeros, whereas others are simply there because we have fewer observations for some subjects. How we account for these zeros affects analysis results. Which methods to account for excess zeros perform best for different analyses?
• Longitudinal methods for compositional data. When we have longitudinal data, we assume the same variables are measured at every time point. For high-dimensional compositions, this may not be the case. We would generally assume that the missing component was absent at any time points for which it was not measured. This project will explore alternatives to making that assumption.
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology (or variations on existing methods) to answer an interesting scientific question.

Any topics in statistical application, education, or methodology, including but not restricted to:

• Topics in applied statistics.
• Methods for microbiome data analysis.
• Statistical genetics.
• Electronic health records.
• Variable selection and statistical learning.
• Longitudinal methods.

Cesar Silva

Research interests :  Ergodic theory and measurable dynamics; in particular mixing properties and rank one examples, and infinite measure-preserving and nonsingular transformations and group actions.  Measurable dynamics of transformations defined on the p-adic field.  Measurable sensitivity.  Fractals.  Fractal Geometry.

Possible thesis topics:    Ergodic Theory.   Ergodic theory studies the probabilistic behavior of abstract dynamical systems.  Dynamical systems are systems that change with time, such as the motion of the planets or of a pendulum.  Abstract dynamical systems represent the state of a dynamical system by a point in a mathematical space (phase space).  In many cases this space is assumed to be the unit interval [0,1) with Lebesgue measure.  One usually assumes that time is measured at discrete intervals and so the law of motion of the system is represented by a single map (or transformation) of the phase space [0,1).  In this case one studies various dynamical behaviors of these maps, such as ergodicity, weak mixing, and mixing.  I am also interested in studying the measurable dynamics of systems defined on the p-adics numbers.  The prerequisite is a first course in real analysis.  Topological Dynamics.  Dynamics on compact or locally compact spaces.

Topics in mathematics and in particular:

• Any topic in measure theory.  See for example any of the first few chapters in “Measure and Category” by J. Oxtoby. Possible topics include the Banach-Tarski paradox, the Banach-Mazur game, Liouville numbers and s-Hausdorff measure zero.
• Topics in applied linear algebra and functional analysis.
• Fractal sets, fractal generation, image compression, and fractal dimension.
• Dynamics on the p-adic numbers.
• Banach-Tarski paradox, space filling curves.

Mihai Stoiciu

Research interests: Mathematical Physics and Functional Analysis. I am interested in the study of the spectral properties of various operators arising from mathematical physics – especially the Schrodinger operator. In particular, I am investigating the distribution of the eigenvalues for special classes of self-adjoint and unitary random matrices.

Topics in mathematical physics, functional analysis and probability including:

• Investigate the spectrum of the Schrodinger operator. Possible research topics: Find good estimates for the number of bound states; Analyze the asymptotic growth of the number of bound states of the discrete Schrodinger operator at large coupling constants.
• Study particular classes of orthogonal polynomials on the unit circle.
• Investigate numerically the statistical distribution of the eigenvalues for various classes of random CMV matrices.
• Study the general theory of point processes and its applications to problems in mathematical physics.

Possible colloquium topics:  

Any topics in mathematics, mathematical physics, functional analysis, or probability, such as:

• The Schrodinger operator.
• Orthogonal polynomials on the unit circle.
• Statistical distribution of the eigenvalues of random matrices.
• The general theory of point processes and its applications to problems in mathematical physics.

Elizabeth Upton

Research Interests: My research interests center around network science, with a focus on regression methods for network-indexed data. Networks are used to capture the relationships between elements within a system. Examples include social networks, transportation networks, and biological networks. I also enjoy tackling problems with pragmatic applications and am therefore interested in applied interdisciplinary research.

• Regression models for network data: how can we incorporate network structure (and dependence) in our regression framework when modeling a vertex-indexed response?
• Identify effects shaping network structure. For example, in social networks, the phrase “birds of a feather flock together” is often used to describe homophily. That is, those who have similar interests are more likely to become friends. How can we capture or test this effect, and others, in a regression framework when modeling edge-indexed responses?
• Extending models for multilayer networks. Current methodologies combine edges from multiple networks in some sort of weighted averaging scheme. Could a penalized multivariate approach yield a more informative model?
• Developing algorithms to make inference on large networks more efficient.
• Any topic in linear or generalized linear modeling (including mixed-effects regression models, zero-inflated regressions, etc.).
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology to answer an interesting scientific question.
• Any applied statistics research project/paper
• Topics in linear or generalized linear modeling
• Network visualizations and statistics

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Applied Mathematics Theses and Dissertations

This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository

Theses/Dissertations from 2023 2023

Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction , Gabriel B. Benigno

Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch

Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models , Tianyu Cheng

Series Expansions of Lambert W and Related Functions , Jacob Imre

Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning , Elham Kianiharchegani

Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju

The Magnetic Field of Protostar-Disk-Outflow Systems , Mahmoud Sharkawi

A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values , Carter J. Wilson

Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect , Yanni Zeng

Theses/Dissertations from 2022 2022

A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala

On the Spatial Modelling of Biological Invasions , Tedi Ramaj

Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan

A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock

Theses/Dissertations from 2021 2021

Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino

Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li

Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo

Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell

SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber

Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang

Theses/Dissertations from 2020 2020

The journey of a single polymer chain to a nanopore , Navid Afrasiabian

Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day

Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick

Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko

Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan

The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar

Mathematical modelling of prophage dynamics , Tyler Pattenden

Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri

Abelian Integral Method and its Application , Xianbo Sun

Theses/Dissertations from 2019 2019

Algebraic Companions and Linearizations , Eunice Y. S. Chan

Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi

Algorithms for Bohemian Matrices , Steven E. Thornton

A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi

Theses/Dissertations from 2018 2018

Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou

Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim

Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka

Investigation of chaos in biological systems , Navaneeth Mohan

Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang

Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu

Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao

Three Essays on Structural Models , Xinghua Zhou

Theses/Dissertations from 2017 2017

On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti

Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi

Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir

Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou

Theses/Dissertations from 2016 2016

Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova

Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow

A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan

A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn

Universal Scaling Properties After Quantum Quenches , Damian Andres Galante

Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan

Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem

A Sequence of Symmetric Bézout Matrix Polynomials , Leili Rafiee Sevyeri

Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman

The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid

Essays in Market Structure and Liquidity , Adrian J. Walton

Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang

Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang

Theses/Dissertations from 2015 2015

The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos

Algorithms to Compute Characteristic Classes , Martin Helmer

Studies of Contingent Capital Bonds , Jingya Li

Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu

Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi

Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani

Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott

Theses/Dissertations from 2014 2014

A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi

Study of Virus Dynamics by Mathematical Models , Xiulan Lai

Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell

Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie

Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo

Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian

Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang

Theses/Dissertations from 2013 2013

Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne

On evolution dynamics and strategies in some host-parasite models , Liman Dai

Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan

Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji

Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence

Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay

Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod

A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan

Analysis of Re-advanceable Mortgages , Almas Naseem

Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan

Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas

Computation Sequences for Series and Polynomials , Yiming Zhang

Theses/Dissertations from 2012 2012

A Real Options Valuation of Renewable Energy Projects , Natasha Burke

Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt

Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron

Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi

Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug

Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall

Valuation of Multiple Exercise Options , T. James Marshall

Incomplete Market Models of Carbon Emissions Markets , Walid Mnif

Topics in Field Theory , Alexander Patrushev

Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing

Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi

Theses/Dissertations from 2011 2011

Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan

Real Options Models in Real Estate , Jin Won Choi

Models, Techniques, and Metrics for Managing Risk in Software Engineering , Andriy Miranskyy

Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories , Christopher Pagnutti

Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides , Amir Mohsen Pourmousa Abkenar

Socially Responsible Investment in a Changing World , Desheng Wu

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©1878 - 2016 Western University

Dissertations and Placements 2010-Present

Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste First Position:  Assistant Professor at Murray State University

Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington

Sumun Iyer Thesis: Dynamics of non-locally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh

Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University

Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley

Prairie Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University

Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own start-up in the math education technology space

Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton

Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology

Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group  Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies

Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models  Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant

Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University

Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington

Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC

Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University

Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington

Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University

Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University

Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University

Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine

David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky

Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université

Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute

Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota

Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal

Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa

Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology

Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine

Aleksandra Niepla Thesis:  Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross

Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group

Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania

Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College

Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University

Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz

Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria

Beihui Yuan Thesis:  Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University

Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago

Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management

Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance

Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University

Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota

Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs

Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia

Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign

Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading

Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA

Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One

Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison

Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University

Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com

Ian Pendleton Thesis:  The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm

Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft

Yujia Zhai Thesis:  Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes 

Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis

James Barnes Thesis:  The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College

Jeffrey Bergfalk Thesis:  Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico

TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna

Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba

Eduard Einstein Thesis:  Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)

Balázs Elek Thesis:  Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto

Kelsey Houston-Edwards Thesis:  Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College

My Huynh Thesis:  The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.

Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position:  Postdoctoral Associate at UFT (University Toronto)

Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute

Aliaksandr Patotski Thesis:  Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft

Ahmad Rafiqi Thesis:  On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil

Ying-Ying Tran Thesis:  Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher

Drew Zemke Thesis:  Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University

Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties  Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group

Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft

Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo

Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes

Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey

Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky

Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University

Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg

Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut

Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma

Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University

Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology

Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University

Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up

Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia 

Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas

Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of

David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore

Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France

Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore

Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC

Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University

Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University

Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher

Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland

Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs

Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense

Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University

Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy

Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft

Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan

Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago

Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University

Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network

Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto

Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine

Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario

Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow

Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track

Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto

Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College

Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft

Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs

Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis 

Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan

Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology

Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University

Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University

Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University

Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University

Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester

Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP

Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto

Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto

Mihai Bailesteanu  Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester

Owen Baker  Thesis:  The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University

Jennifer Biermann  Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University

Mingzhong Cai  Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison

Ri-Xiang Chen  Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China

Denise Dawson  Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University

George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind

Samuel Kolins  Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College

Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind

Ho Hon Leung  Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai

Benjamin Lundell  Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington

Eyvindur Ari Palsson  Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester

Paul Shafer  Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University

Michelle Snider  Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland

Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand

Russ Thompson  Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute

Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College

Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College

Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University

Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University 

Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard

Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University

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Applications and improvements of the adaptive large neighbourhood search , lᵖ boundary value problems for elliptic and parabolic operators , twistor theory and its applications in asymptotically flat spacetimes , theory and simulation of interacting particle systems and mckean-vlasov processes: the super measure class, ergodicity, and weak error , spencer cohomology, supersymmetry and the structure of killing superalgebras , higher triangulated categories and fourier-mukai transforms on abelian surfaces and threefolds , investigating computer aided assessment of mathematical proof by varying the format of students' answers and the structure of assessment design by stack , estimation and application of bayesian hawkes process models , novel statistical learning approaches for open banking-type data , statistical and machine learning approaches to genomic medicine , using markov chain monte carlo in vector generalized linear mixed models: with an application to integral projection models in ecology , symmetries of riemann surfaces and magnetic monopoles , kan extensions in probability theory , regression analysis for extreme value responses and covariates , categorical torelli theorems for fano threefolds , laplacians for structure recovery on directed and higher-order graphs , efficient interior point algorithms for large scale convex optimization problems , solving sampling and optimization problems via tamed langevin mcmc algorithms in the presence of super-linearities , algebraic combinatorial structures for singular stochastic dynamics , stochastic modelling and inference of ocean transport .

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Master Theses

Maqrm .

MMS-BIO  (no longer offered)

MMS-CPS  (no longer offered)

MMS-EDU  (no longer offered)

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Mathematics MSc dissertations

The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of dissertation titles are listed below, some of which are available online:

2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

2014: Mathematics of Scientific and Industrial Computation

Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media

2014: Applicable and Numerical Mathematics

Emine Akkus - Estimating forecast error covariance matrices with ensembles

Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis

2013: Mathematics of Scientific and Industrial Computation

Zeinab Zargar - Modelling of Hot Water Flooding as an Enhanced Oil Recovery Method

Siti Mazulianawati Haji Majid - Numerical Approximation of Similarity in Nonlinear Diffusion Equations

2013: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves

Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology

2012: Mathematics of Scientific and Industrial Computation

Chris Louder - Mathematical Techniques of Image Processing

Jonathan Muir - Flux Modelling of Polynyas

Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations

2012: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach

2011: Mathematics of Scientific and Industrial Computation

Tudor Ciochina - The Closest Point Method

Theodora Eleftheriou - Moving Mesh Methods Using Monitor Functions for the Porous Medium Equation

Melios Michael - Self-Consistent Field Calculations on a Variable Resolution Grid

2011: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Peter Barnet - Rain Drop Growth by Collision and Coalescence

Matthew Edgington - Moving Mesh Methods for Semi-Linear Problems

Samuel Groth - Light Scattering by Penetrable Convex Polygons

Charlotte Kong - Comparison of Approximate Riemann Solvers

Amy Jackson - Estimation of Parameters in Traffic Flow Models Using Data Assimilation

Bruce Main - Solving Richards' Equation Using Fixed and Moving Mesh Schemes

Justin Prince - Fast Diffusion in Porous Media

Carl Svoboda - Reynolds Averaged Radiative Transfer Model

2010: Mathematics of Scientific and Industrial Computation

Tahnia Appasawmy - Wave Reflection and Trapping in a Two Dimensional Duct

Nicholas Bird - Univariate Aspects of Covariance Modelling within Operational Atmospheric Data Assimilation

Michael Conland - Numerical Approximation of a Quenching Problem

Katy Shearer - Mathematical Modelling of the regulation and uptake of dietary fats

Peter Westwood - A Moving Mesh Finite Element Approach for the Cahn-Hilliard Equation

Kam Wong - Accuracy of a Moving Mesh Numerical Method applied to the Self-similar Solution of Nonlinear PDEs

2010: Mathematical and Numerical Modelling of the Atmosphere and Oceans

James Barlow - Computation and Analysis of Baroclinic Rossby Wave Rays in the Atlantic and Pacific Oceans

Martin Conway - Heat Transfer in a Buried Pipe

Simon Driscoll - The Earth's Atmospheric Angular Momentum Budget and its Representation in Reanalysis Observation Datasets and Climate Models

George Fitton - A Comparative Study of Computational Methods in Cosmic Gas Dynamics Continued

Fay Luxford - Skewness of Atmospheric Flow Associated with a Wobbling Jetstream

Jesse Norris - A Semi-Analytic Approach to Baroclinic Instability on the African Easterly Jet

Robert J. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean

Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances

2009: Mathematics of Scientific and Industrial Computation

Charlotta Howarth - Integral Equation Formulations for Scattering Problems

David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother

Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods

Mary Pham - Mesh Generation and its application to Finite Element Methods

Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method

2009: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Danila Volpi - Estimation of parameters in traffic flow models using data assimilation

Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids

David MacLeod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models

Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need?

Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya

Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme

Zak Kipling - Error growth in medium-range forecasting models

Zoe Gumm - Bragg Resonance by Ripple Beds

2008: Mathematics of Scientific and Industrial Computation

Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method

Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas

Cassandra Moran - Harbour modelling and resonances

Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe

Juri Parrinello - Modelling water uptake in rice using moving meshes

Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method

Chloe Ward - Numerical Evaluation of Oscillatory Integrals

Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography

2008: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Fawzi Al Busaidi - Fawzi Albusaidi

Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef

Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty

Victoria Heighton - 'Every snowflake is different'

Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?

Gillian Morrison - Numerical Modelling of Tidal Bores using a Moving Mesh

Rachel Pritchard - Evaluation of Fractional Dispersion Models

2007: Numerical solution of differential equations

Tamsin Lee - New methods for approximating acoustic wave transmission through ducts (PDF 2.5MB)

Lee Morgan - Anomalous diffusion (PDF-1.5MB)

Keith Pham - Finite element modelling of multi-asset barrier options (PDF-3MB)

Alastair Radcliffe - Finite element modelling of the atmosphere using the shallow water equations (PDF-2.5MB)

Sanita Vetra - The computation of spectral representations for evolution PDE (PDF-3.2MB)

2007: Mathematical and numerical modelling of the atmosphere and oceans

Laura Baker - Properties of the ensemble Kalman filter (PDF-3.8MB)

Alison Brass - A moving mesh method for the discontinuous Galerkin finite element technique (PDF-916KB)

Daniel Lucas - Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans (PDF-1.1MB)

Duduzile Nhlengethwa - Petrol or diesel (PDF-1MB)

Rhiannon Roberts - Modelling glacier flow (PDF-406KB)

David Skinner - A moving mesh finite element method for the shallow water equations (PDF-4.3MB)

Jovan Stojsavljevic - Investigation of waiting times in non-linear diffusion equations using a moving mesh method (PDF-538KB)

2006: Numerical solution of differential equations

Bonhi Bhattacharya - A moving finite element method for high order nonlinear diffusion problems

Jonathan Coleman - High frequency boundary element methods for scattering by complex polygons

Rachael England - The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility

Stefan King - Best fits with adjustable nodes and scale invariance

Edmund Ridley - Analysis of integral operators from scattering problems

Nicholas Robertson - A moving Lagrangian mesh model of a lava dome volcano and talus slope

2006: Mathematical and numerical modelling of the atmosphere and oceans

Iain Davison - Scale analysis of short term forecast errors

Richard Silveira - Electromagnetic scattering by simple ice crystal shapes

Nicola Stone - Development of a simplified adaptive finite element model of the Gulf Stream

Halina Watson - The behaviour of 4-D Var for a highly nonlinear system

2005: Numerical solution of differential equations

Jonathan Aitken - Data dependent mesh generation for peicewise linear interpolation

Stephen Arden - A collocation method for high frequency scattering by convex polygons

Shaun Benbow - Numerical methods for american options

Stewart Chidlow - Approximations to linear wave scattering by topography using an integral equation approach

Philip McLaughlin - Outdoor sound propagation and the boundary element method

Antonis Neochoritis - Numerical modelling of islands and capture zone size distributions in thin film growth

Kylie Osman - Numerical schemes for a non-linear diffusion problem

Shaun Potticary - Efficient evaluation of highly oscillatory integrals

Martyn Taylor - Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries

Aanand Venkatramanan - American spread option pricing

2005: Mathematical and numerical modelling of the atmosphere and oceans

Richard Fruehmann - Ageostrophic wind storms in the central Caspian sea

Gemma Furness - Using optimal estimation theory for improved rainfall rates from polarization radar

Edward Hawkins - Vorticity extremes in numerical simulations of 2-D geostrophic turbulence

Robert Horton - Two dimensional turbulence in the atmosphere and oceans

David Livings - Aspects of the ensemble Kalman filter

David Sproson - Energetics and vertical structure of the thermohaline circulation

2004: Numerical solution of differential equations

Rakhib Ahmed - Numerical schemes applied to the Burgers and Buckley-Leverett equations

James Atkinson - Embedding methods for the numerical solution of convolution equations

Catherine Campbell-Grant - A comparative study of computational methods in cosmic gas dynamics

Paresh Prema - Numerical modelling of Island ripening

Mark Webber - The point source methods in inverse acoustic scattering

2004: Mathematical and numerical modelling of the atmosphere and oceans

Oliver Browne - Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model

Petros Dalakakis - Radar scattering by ice crystals

Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting .

Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions

Helen Mansley - Dense water overflows and cascades

Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics

Peter Taylor - Application of parameter estimation to meteorology and food processing

2003: Numerical solution of differential equations

Kate Alexander - Investigation of a new macroscopic model of traffic flow

Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions

Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries

Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws

2003: Mathematical and numerical modelling of the atmosphere and oceans

Clare Harris - The Valuation of weather derivatives using partial differential equations

Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation

Emma Quaile - Rotation dominated flow over a ridge

Jemma Shipton - Gravity waves in multilayer systems

2002: Numerical solution of differential equations

Winnie Chung - A Spectral Method for the Black Scholes Equations

Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics

Malachy McConnell - On the numerical solution of selected integrable non-linear wave equations

Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method

2002: Mathematical and numerical modelling of the atmosphere and oceans

Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes

Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales

Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation

2001: Numerical solution of differential equations

R.B. Brad - An Implementation of the Box Scheme for use on Transcritical Problems

D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling

R. Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations

P. Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic

M. Maisey - Vorticity Preserving Lax-Wendroff Type Schemes

C.A. Radcliffe - Positive Schemes for the Linear Advection Equation

2000: Numerical solution of differential equations

D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems.

S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives.

C. Freshwater - The Muskingum-Cunge Method for Flood Routing.

S.H. Man - Galerkin Methods for Coupled Integral Equations.

A. Laird - A New Method for Solving the 2-D Advection Equation.

T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems.

M. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation.

B. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow.

1999: Numerical solution of differential equations

M. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.

S.J. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model.

N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum.

V. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.

D.A. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application.

S.C. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System

P. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.

M. Wakefield - Variational Methods for Upscaling.

1998: Numerical solution of differential equations

C.C. Anderson - A dual-porosity model for simulating the preferential movement of water in the unsaturated zone of a chalk aquifer.

K.W. Blake - Contour zoning.

M.R. Garvie - A comparison of cell-mapping techniques for basins of attraction.

W. Gaudin - HYDRA: a 3-d MPP Eulerian hydrocode.

D. Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance.

J. Hudson - Numerical techniques for conservation laws with source terms. .

H.S. Khela - The boundary integral method.

K. Singh - A comparison of numerical schemes for pricing bond options.

1997: Numerical solution of differential equations

R.V. Egan - Chaotic response of the Duffing equation. A numerical investigation into the dynamics of the non-linear vibration equation.

R.G. Higgs - Nonlinear diffusion in reservoir simulation.

P.B. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes.

M.A. Wlasek - Variational data assimilation: a study.

1996: Numerical solution of differential equations

A. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis.

S.J. Leary - Mesh movement and mesh subdivision.

S. McAllister - First and second order complex differential equations.

R.K. Sadhra - Investigating dynamical systems using the cell-to-cell mapping.

J.P. Wilson - A refined numerical model of sediment deposition on saltmarshes.

1995: Numerical solution of differential equations

M. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves.

J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst.

S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics.

R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes.

1994: Numerical solution of differential equations

M. Ali - Application of control techniques to solving linear systems of equations .

M.H. Brookes - An investigation of a dual-porosity model for the simulation of unsaturated flow in a porous medium .

A.J. Crossley - Application of Roe's scheme to the shallow water equations on the sphere .

D.A. Kirkland - Huge singular values and the distance to instability. .

B.M. Neil - An investigation of the dynamics of several equidistribution schemes .

1993: Numerical solution of differential equations

P.A. Burton - Re-iterative methods for integral equations .

J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D. .

L.M. Whitfield - The application of optimal control theory to life cycle strategies .

S.J. Woolnough - A numerical model of sediment deposition on saltmarshes .

1992: Numerical solution of differential equations

I. MacDonald - The numerical solution of free surface/pressurized flow in pipes. .

A.D. Pollard - Preconditioned conjugate gradient methods for serial and parallel computers. .

C.J. Smith - Adaptive finite difference solutions for convection and convection-diffusion problems .

1991: Numerical solution of differential equations

K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .

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Yijiang Wang defends their dissertation topic, “Spatial Quantile Estimation of High-Dimensional VAR(P) via Tensor Decomposition”

Yijiang Wang, a doctoral student in Applied Mathematics, will defend his dissertation topic proposal on Thursday, August 15 at 1:00 PM. His dissertation advisor is Dr. Jiancheng Jiang. The title of Yijiang’s dissertation topic is“Spatial Quantile Estimation of High-Dimensional VAR(P) via Tensor Decomposition”. All interested persons are invited to attend; in particular, graduate faculty and graduate students working in the same or similar fields are strongly encouraged to attend. Please contact Dr. Deng for more information.