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PhD in Applied Mathematics and Theoretical Physics

University of cambridge, different course options.

  • Key information

Course Summary

Tuition fees, entry requirements, similar courses at different universities, key information data source : idp connect, qualification type.

PhD/DPhil - Doctor of Philosophy

Subject areas

Applied Mathematics Theoretical Physics Applied Physics

Course type

This is a three to four-year research programme culminating in submission and examination of a thesis containing substantial original work. PhD students carry out their research under the guidance of a supervisor, and research projects are available from the wide range of subjects studied within the Department. Students admitted for a PhD will normally have completed preparatory study at a level comparable to the Cambridge Part III (MMath/MASt) course. A significant number of our PhD students secure post-doctoral positions at institutions around the world and become leading researchers in their fields.

Assessment for the PhD is by submission of a thesis and oral examination only. There is no standard format for the thesis in mathematics (ie no prescribed word limit). Candidates should discuss the format appropriate to their topic with their supervisor.

The Mathematics Degree Committee oversees the examinations process and is responsible for approving the research title of the thesis, appointing examiners and scrutinising the reports of those examiners before making a decision on the outcome.

UK fees Course fees for UK students

For this course (per year)

International fees Course fees for EU and international students

Applicants for this course should have achieved a UK First class Honours Degree. The usual minimum entry requirement is a first-class honours degree, awarded after a four-year course in physics, mathematics or engineering, or a three-year degree together with a one-year postgraduate course on advanced mathematics and theoretical physics. Part III (MMath/MASt) of the Mathematical Tripos provides such a course. Note, however, that entry is competitive and a higher level of preparation may be required for research in some subject areas.

Mathematics PhD, MPhil - Applied Mathematics

University of leicester, mathematics phd, mphil, msc applied mathematical sciences, heriot-watt university, phd applied mathematics, university of essex, applied mathematics phd, university of birmingham.

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As a postgraduate student at the Cavendish laboratory you would be joining an institution with an illustrious history of innovation and discovery and a current programme that builds on that tradition.

Postgraduate Students in the Department study for one of the following qualifications:

  • Master of Advanced Studies (MASt in Physics) , 9 Months
  • MPhil in Data Intensive Science ,10 Months
  • MPhil in Planetary Sciences and Life in the Universe (PSLU) , 10-month
  • MPhil in Physics (by research) , 1 year
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  • Interdisciplinary PhD in Nanoscience and Nanotechnology (NanoDTC)   (initial common training period + research), 3.5+ years
  • PhD in Computational Methods for Materials Science - 4 year

Applications for admissions

If you decide to make an application, you are advised to do so as early as possible. This will increase your chances not only of acceptance but also of being considered for funding. 

All candidates should consult the course directory for funding deadlines

We hope that the above information is helpful as we wish to encourage good applicants. Should you choose to apply, we will try to reach a decision in the Department without undue delay before passing on your papers for further consideration by the Colleges, the Degree Committee, and the Postgraduate Admissions Office. You should not take any steps to come to Cambridge before you receive an admission letter from the Postgraduate Admissions Office stating that you have satisfied all conditions.

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Other Useful links

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Postgraduate Open Days 

Virtual Postgraduate Open Days takes place every year. During the Open Day you can find out more about what it is like to be a Cavendish postgraduate, various research areas, the application process, student life and more. You will also get an opportunity to attend a Q&A session with the current staff.

This year the Postgraduate Open Day will take place between 4 th and 15 th November 2024.  You can find more information here.

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DAMTP PhD Opportunities

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Applications are welcome in all areas.

Research Topics

Our research page lists the various research groups and their interests. Note that in some cases there are overlaps. You need to determine which group or groups cover your range of interests, and where appropriate identify a potential supervisor as described below .

The following is a list of some,  but by no means all , of the current PhD opportunities in DAMTP:

  • Astrophysics
  • Atmosphere-Ocean Dynamics
  • Biological Physics and Mechanics
  • G K Batchelor Laboratory
  • Institute of Theoretical Geophysics
  • Soft Matter
  • Solid Mechanics
  • CDT in Data Intensive Science
  • van der Schaar Lab
  • Mathematics of Information
  • Quantum Information and Foundations

Qualifications

The usual minimum entry requirement is a first class honours degree, awarded after a four-year course in mathematics, physics or engineering, or a three-year degree together with a one-year postgraduate course on advanced applied mathematics and theoretical physics. Please note that a very large majority of the successful applicants for PhD studentships with the High Energy Physics (HEP), General Relativity & Cosmology (GR ) , and Quantum Information (QI) groups will have taken Part III of the Mathematical Tripos .

Finding a supervisor  

The topic of the research thesis may be chosen from the wide range of subjects studied within the Department. It is expected that applicants to the PhD course will investigate the research interests and expertise of academic staff within DAMTP prior to making a formal application. This should be done by consulting the  dedicated page on finding a supervisor , as well  individual profiles of our academic staff .

Applicants are encouraged to make informal contact with potential supervisors prior to making an application. Applicants should clearly state in the 'Proposed supervisor' field of the application form the name(s) of those member(s) of academic staff with whom they wish to work, and provide a clear indication of the areas or topics in which they intend to undertake research in the 'Research Summary' field. We do not currently require submission of a separate detailed research proposal.

Applicants with Home fee status will be considered by the Department for a full Research Council studentship (including 3.5 years of maintenance).  Overseas applicants may be considered for partial support.  Receipt of this funding is not guaranteed and all applicants, irrespective of fee status, are expected to apply to other funding schemes for which they are eligible.  Applicants are advised to investigate potential sources of funding as early as possible.

Other funding opportunities for students studying in DAMTP include:

  • NERC Doctoral Training Programme (includes Atmosphere-Ocean Dynamics, Theoretical Geophysics, and certain areas of Fluid and Continuum Mechanics)
  • Several fully funded PhD studentships are available in Machine Learning and Artificial Intelligence
  • Centre for Doctoral Training in Data Intensive Science
  • Newnham Scholarship for Women in Theoretical Physics  (Deadline: 15 December 2023)

There are other awards available from Cambridge sources outside DAMTP. An up-to-date guide can be found here.

Applications must be made via the University Application Portal . Applicants are advised to consult the University Postgraduate Admissions website for details of the admissions process and to review the Course Directory entry for the PhD at DAMTP prior to making an application.

Applicants are encouraged to make informal contact with potential supervisors prior to making an application. Applicants should clearly state in the relevant field of the application form the subject area in which they intend to undertake research as determined under 'Research Topics' above.  If possible they should mention which DAMTP research group(s) they would like to consider their application. We do not expect applicants to submit a detailed research proposal. 

All applicants are required to submit two references, for MASt students this should be an updated reference which covers your performance in the final year at your previous institution. MMath students must include one from their College Director of Studies.

The DAMTP PhD course code is: MAAM21.

The University values diversity and is committed to equality of opportunity. The Department would particularly welcome applications from women, since women are, and have historically been, underrepresented in our student cohorts.

Deadlines and Offers

Those wishing to do a PhD in DAMTP are strongly encouraged to apply by 4 January 2024  for admission in October. However, later applications will still be considered where possible (up until the general University deadline). Applicants wishing to explore the possibility of a later start date (January or April) should contact DAMTP prior to submitting an application. Applicants will only be considered for admission in January or April in exceptional circumstances.

Earlier application deadlines apply for:

  • High Energy Physics and General Relativity & Cosmology groups (15 December 2023 for full consideration)
  • University Postgraduate Funding Competition (Gates US: 11 October 2023; All other funding: 4 January 2024)
  • Cambridge Mathematics of Information (4 January 2024)
  • NERC Doctoral Training Programme (4 January 2024)

Click here for further information about the Postgraduate Open Day.

If you have queries please contact the Faculty Postgraduate Office

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HEP Graduate Admissions

HEP Research Students

The HEP Group welcomes applications from students wishing to study for a PhD in experimental or theoretical High Energy Physics. We normally have projects available on each of our active experiments, and on various theoretical topics.

A PhD takes between three and four years to complete. We also offer one year MPhils (but only in exceptional cases).

We have a limited number of PhD places each year funded by the Science and Technology Facilities Council. These pay the full costs for UK citizens. We have no direct funding for non-UK citizens, but often offer places to students with funding from scholarships, such as those offered by the Gates Cambridge Trust or from other sources. There are many funding opportunities at Cambridge from a wide variety of sources including the Cambridge Trust, Gates Cambridge, Colleges, departments, Research Councils and central University funds.

The deadlines for applications vary depending on the funding sources - there is some information on this page .

High Energy Physics (Experimental)

The main focus of our research is with the LHCb and ATLAS experiments at the LHC and with the current and future neutrino experiments MicroBooNE and DUNE. We are also involved in smaller experiments, such as searching for ultra-light dark matter using novel atom interferometers (MAGIS and AION). As a member of one of these collaborations you will benefit from access to rich and varied datasets and you will have the opportunity to make leading contributions to the analysis of a physics topic chosen with your supervisor. You will develop new analytical skills and learn state-of-the-art methods for the exploitation of the data. You will be part of a large and dynamic international collaboration with many opportunities to engage with your co-researchers both in Cambridge and at CERN or Fermilab.

Our group also plays a leading role in R&D activities for future detectors and upgrades with an emphasis on silicon sensors for tracking and single-photon-sensitive sensors for particle identification and we encourage our students to become involved in our R&D work. We are currently offering a PhD studentship jointly with RAL to explore novel techniques to exploit high precision timing information for a future LHCb RICH upgrade.

High Energy Physics (Theoretical)

Our group is interested in a range of theoretical problems with a phenomenological emphasis (that is, with relevance to current or future experiments). We have close contacts with the Cavendish experimental high energy group and with the more mathematical theory group in the Department of Applied Mathematics and Theoretical Physics (DAMTP) . There are also collaborative projects with groups at CERN and elsewhere in Europe and the UK.

  • High Energy Physics Theory Group homepage
  • Cambridge Pheno Working Group homepage

Current research interests include:

  • Search strategies at the LHC for new physics beyond the Standard Model, for example supersymmetry, black holes etc.
  • The development of improved Monte Carlo simulations for high-energy collisions incorporating higher-order perturbative corrections.
  • Determination of the probability distributions of partons in the proton to high accuracy, with particular emphasis on implications for LHC physics.
  • The effective Lagrangian approach to understanding Quantum Chromodynamics at low energies, and its application to the properties and interactions of hadrons.

More details on possible projects are available here .

16th October 2024 for Gates Trust funded graduate students (USA residents) , 3rd December 2024 for non-USA residents.

3rd December 2024 for Cambridge Trust funded graduate students.

10th December 2024 for Research Council funded graduate students.

The 2025 interviews for prospective Gates/Trust funded and Research Council funded graduate students will be held in January and February 2025.

Applications for alternatively funded places will be considered at regular intervals throughout the year.

How can I find out more?

A great way to meet supervisors and learn more about the projects is to attend the Postgraduate Open Days , in which the HEP group at the Cavendish always takes part. This year the Postgraduate Open Day will take place between 4th and 15th November 2024.

We've tried to answer most common questions on the FAQ page , so please read this first.

If you have further questions please contact the Rutherford Hub Administration by email , by phone (+44 (0)1223 76 8138 or +44 (0)1223 33 7478) or by post at:

HEP Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE, United Kingdom.

Further details can be obtained here together with application forms.

Further details on research opportunities can be obtained from:

  • Paula Alvarez Cartelle ( email , phone +44 (0)1223 33 7228) for experimental research,
  • Ben Gripaios ( email , phone +44 (0)1223 76 1014) for theoretical research.

The University also has a lot of information for Prospective Graduate Students .

Related links

  • Cavendish Admissions
  • Cambridge University Admissions

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PhD in Applied Mathematics and Theoretical Physics University of Cambridge

University of Cambridge

Course options

Qualification.

PhD/DPhil - Doctor of Philosophy

University of Cambridge

01-OCT-24, 05-JAN-25, 17-APR-25

  • TUITION FEES
  • ENTRY REQUIREMENT
  • UNIVERSITY INFO

Course summary

This is a three to four-year research programme culminating in submission and examination of a thesis containing substantial original work. PhD students carry out their research under the guidance of a supervisor, and research projects are available from the wide range of subjects studied within the Department. Students admitted for a PhD will normally have completed preparatory study at a level comparable to the Cambridge Part III (MMath/MASt) course. A significant number of our PhD students secure post-doctoral positions at institutions around the world and become leading researchers in their fields.

Assessment for the PhD is by submission of a thesis and oral examination only. There is no standard format for the thesis in mathematics (ie no prescribed word limit). Candidates should discuss the format appropriate to their topic with their supervisor.

The Mathematics Degree Committee oversees the examinations process and is responsible for approving the research title of the thesis, appointing examiners and scrutinising the reports of those examiners before making a decision on the outcome.

Application deadline

16 May 2024, 02 October 2024, 15 January 2025

Module Options

Tuition fees.

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theoretical physics phd cambridge

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  • Entropy and Spectrum of Near-Extremal Black Holes: semiclassical brane solutions to non-perturbative problems Sergio Hernández-Cuenca July 29, 2024, arXiv:2407.20321 Abstract: (click to show) The black hole entropy has been observed to generically turn negative at exponentially low temperatures \(T\sim e^{-S_0}\) in the extremal Bekenstein-Hawking entropy \(S_0\), a seeming pathology often attributed to missing non-perturbative effects. In fact, we show that this negativity must happen for any effective theory of quantum gravity with an ensemble description. To do so, we identify the usual gravitational entropy as an annealed entropy \(S_a\), and prove that this quantity gives \(S_0\) at extremality if and only if the ground-state energy is protected by supersymmetry, and diverges negatively otherwise. The actual thermodynamically-behaved quantity is the average or quenched entropy \(S_q\), whose calculation is poorly understood in gravity: it involves replica wormholes in a regime where the topological expansion breaks down. Using matrix integrals we find new instanton saddles that dominate gravitational correlators at \(T\sim e^{-S_0}\) and are dual to semiclassical wormholes involving dynamical branes. These brane solutions give the leading contribution to any black hole very near extremality, and a duality with matrix ensembles would not make sense without them. In the non-BPS case, they are required to make \(S_q\) non-negative and also enhance the negativity of \(S_a\), both effects consistent with matrix integrals evaluated exactly. Our instanton results are tested against the on-shell action of D3-branes dual to multiply wrapped Wilson loops in \(\mathcal{N}=4\) super-YM, and a precise match is found. Our analysis of low-energy random matrix spectra also explains the origin of spectral gaps in supersymmetric theories, not only when there are BPS states at zero energy, but also for purely non-BPS supermultiplets. In the former, our prediction for the gap in terms of the degeneracy of BPS states agrees with the R-charge scaling in gapped multiplets of \(\mathcal{N}=2\) super-JT gravity.
  • Imaging the Wakes of Jets with Energy-Energy-Energy Correlators Hannah Bossi, Arjun Srinivasan Kudinoor, Ian Moult, Daniel Pablos, Ananya Rai et. al. July 18, 2024, arXiv:2407.13818 Abstract: (click to show) As the partons in a jet propagate through the quark-gluon plasma (QGP) produced in a heavy-ion collision, they lose energy to, kick, and are kicked by the medium. The resulting modifications to the parton shower encode information about the microscopic nature of QGP. The momentum and energy lost by the parton shower are gained by the medium and, since QGP is a strongly coupled liquid, this means that the jet excites a wake in the droplet of QGP. After freezeout, this wake becomes soft hadrons with net momentum in the jet direction meaning that reconstructed jets include hadrons originating from both the modified parton shower and its wake. This makes it challenging to find an unambiguous experimental view of the response of a droplet of QGP to a jet. Recent years have seen significant advances in the understanding of the substructure of jets using correlation functions of the energy flux operator. So far, such studies have focused primarily on the two-point correlator, which serves to identify the angular scale of the underlying dynamics. Higher-point correlators hold the promise of mapping out the dynamics themselves. We perform the first study of the shape-dependent three-point energy-energy-energy correlator in heavy-ion collisions. Using the Hybrid Model to simulate the interactions of high energy jets with QGP, we show that hadrons originating from wakes are the dominant contribution to the three-point correlator in the regime where the three points are well-separated in angle, forming a roughly equilateral triangle. This equilateral region of the correlator is far from the region populated by collinear vacuum emissions, making it a canvas on which jet wakes can be imaged. Our work is a key step towards the systematic use of energy correlators to image and unravel the dynamical response of a droplet of QGP to a passing jet, and motivates many experimental and theoretical studies.
  • Moment Unfolding Krish Desai, Benjamin Nachman and Jesse Thaler July 15, 2024, arXiv:2407.11284 Abstract: (click to show) Deconvolving ("unfolding'') detector distortions is a critical step in the comparison of cross section measurements with theoretical predictions in particle and nuclear physics. However, most existing approaches require histogram binning while many theoretical predictions are at the level of statistical moments. We develop a new approach to directly unfold distribution moments as a function of another observable without having to first discretize the data. Our Moment Unfolding technique uses machine learning and is inspired by Generative Adversarial Networks (GANs). We demonstrate the performance of this approach using jet substructure measurements in collider physics. With this illustrative example, we find that our Moment Unfolding protocol is more precise than bin-based approaches and is as or more precise than completely unbinned methods.
  • Quantum Algorithm to Prepare Quasi-Stationary States Samuel J. Garratt and Soonwon Choi July 10, 2024, arXiv:2407.07893 Abstract: (click to show) Quantum dynamics can be analyzed via the structure of energy eigenstates. However, in the many-body setting, preparing eigenstates associated with finite temperatures requires time scaling exponentially with system size. In this work we present an efficient quantum search algorithm which produces quasi-stationary states, having energies supported within narrow windows of a dense many-body spectrum. In time scaling polynomially with system size, the algorithm produces states with inverse polynomial energy width, which can in turn be used to analyze many-body dynamics out to polynomial times. The algorithm is based on quantum singular value transformations and quantum signal processing, and provides a quadratic speedup over measurement-based approaches. We discuss how this algorithm can be used as a primitive to investigate the mechanisms underlying thermalization and hydrodynamics in many-body quantum systems.

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theoretical physics phd cambridge

Professor Stephen Hawking

theoretical physics phd cambridge

Credit: Andre Pattenden

Friends and colleagues from the University of Cambridge have paid tribute to Professor Stephen Hawking, who died today at the age of 76.

Widely regarded as one of the world’s most brilliant minds, he was known throughout the world for his contributions to science, his books, his television appearances, his lectures and through biographical films. He leaves three children and three grandchildren.

Professor Hawking broke new ground on the basic laws which govern the universe, including the revelation that black holes have a temperature and produce radiation, now known as Hawking radiation. At the same time, he also sought to explain many of these complex scientific ideas to a wider audience through popular books, most notably his bestseller A Brief History of Time .

He was awarded the CBE in 1982, was made a Companion of Honour in 1989, and was awarded the US Presidential Medal of Freedom in 2009. He was the recipient of numerous awards, medals and prizes, including the Copley Medal of the Royal Society, the Albert Einstein Award, the Gold Medal of the Royal Astronomical Society, the Fundamental Physics Prize, and the BBVA Foundation Frontiers of Knowledge Award for Basic Sciences. He was a Fellow of The Royal Society, a Member of the Pontifical Academy of Sciences, and a Member of the US National Academy of Sciences.

He achieved all this despite a decades-long battle with motor neurone disease, with which he was diagnosed while a student, and eventually led to him being confined to a wheelchair and to communicating via his instantly recognisable computerised voice. His determination in battling with his condition made him a champion for those with a disability around the world.

Professor Hawking came to Cambridge in 1962 as a PhD student, and rose to become the Lucasian Professor of Mathematics, a position once held by Isaac Newton, in 1979. In 2009, he retired from this position and was the Dennis Stanton Avery and Sally Tsui Wong-Avery Director of Research in the Department of Applied Mathematics and Theoretical Physics until his death. He was also a member of the University's  Centre for Theoretical Cosmology , which he founded in 2007. He was active scientifically and in the media until the end of his life.

Professor Stephen Toope, Vice-Chancellor of the University of Cambridge, paid tribute, saying, “Professor Hawking was a unique individual who will be remembered with warmth and affection not only in Cambridge but all over the world. His exceptional contributions to scientific knowledge and the popularisation of science and mathematics have left an indelible legacy. His character was an inspiration to millions. He will be much missed.”

theoretical physics phd cambridge

Stephen William Hawking was born on January 8, 1942 in Oxford although his family was living in north London at the time. In 1959, the family moved to St Albans where he attended St Albans School. Despite the fact that he was always ranked at the lower end of his class by teachers, his school friends nicknamed him ‘Einstein’ and seemed to have encouraged his interest in science. In his own words, “physics and astronomy offered the hope of understanding where we came from and why we are here. I wanted to fathom the depths of the Universe.”

His ambition brought him a scholarship to University College Oxford to read Natural Science. There he studied physics and graduated with a first class honours degree.

He then moved to Trinity Hall , Cambridge and was supervised by Dennis Sciama at the Department of Applied Mathematics and Theoretical Physics for his PhD; his thesis was titled  Properties of Expanding Universes . In 2017, he made his PhD thesis freely available online via the  University of Cambridge’s Open Access repository . There have been over a million attempts to download the thesis, demonstrating the enduring popularity of Hawking and his academic legacy.

On completion of his PhD Hawking became a research fellow at Gonville and Caius College where he remained a fellow for the rest of his life. During his early years at Cambridge, he was influenced by Roger Penrose and developed the singularity theorems which show that the Universe began with the Big Bang.

An interest in singularities naturally led to an interest in black holes and his subsequent work in this area laid the foundations for the modern understanding of black holes. He proved that when black holes merge, the surface area of the final black hole must exceed the sum of the areas of the initial black holes, and he showed that this places limits on the amount of energy that can be carried away by gravitational waves in such a merger. He found that there were parallels to be drawn between the laws of thermodynamics and the behaviour of black holes. This eventually led, in 1974, to the revelation that black holes have a temperature and produce radiation, now known as Hawking radiation, a discovery which revolutionised theoretical physics.

He also realised that black holes must have an entropy – often described as a measure of how much disorder is present in a given system – equal to one quarter of the area of their event horizon: – the ‘point of no return’, where the gravitational pull of a black hole becomes so strong that escape is impossible. Some forty odd years later, the precise nature of this entropy is still a puzzle. However, these discoveries led to Hawking formulating the ‘information paradox’ which illustrates a fundamental conflict between quantum mechanics and our understanding of gravitational physics. This is probably the greatest mystery facing theoretical physicists today.

theoretical physics phd cambridge

To understand black holes and cosmology requires one to develop a theory of quantum gravity. Quantum gravity is an unfinished project which is attempting to unify general relativity, the theory of gravitation and of space and time with the ideas of quantum mechanics. Hawking’s work on black holes started a new chapter in this quest and most of his subsequent achievements centred on these ideas.

Hawking recognised that quantum mechanical effects in the very early universe might provide the primordial gravitational seeds around which galaxies and other large-scale structures could later form.  This theory of inflationary fluctuations, developed along with others in the early 1980s, is now supported by strong experimental evidence from the COBE, WMAP and Planck satellite observations of the cosmic microwave sky. Another influential idea was Hawking’s ‘no boundary’ proposal which resulted from the application of quantum mechanics to the entire universe. This idea allows one to explain the creation of the universe in a way that is compatible with laws of physics as we currently understand them. 

Professor Hawking’s influential books included The Large Scale Structure of Spacetime , with G F R Ellis; General Relativity: an Einstein centenary survey , with W Israel; Superspace and Supergravity , with M Rocek (1981); The Very Early Universe , with G Gibbons and S Siklos, and 300 Years of Gravitation , with W Israel.

However, it was his popular science books which took Professor Hawking beyond the academic world and made him a household name. The first of these, A Brief History of Time , was published in 1988 and became a surprise bestseller, remaining on the Sunday Times best-seller list for a record-breaking 237 weeks. Later popular books included Black Holes and Baby Universes , The Universe in a Nutshell , A Briefer History of Time , and My Brief History . He also collaborated with his daughter Lucy on a series of books for children about a character named George who has adventures in space.

In 2014, a film of his life, The Theory of Everything , was released. Based on the book by his first wife Jane, the film follows the story of their life together, from first meeting in Cambridge in 1964, with his subsequent academic successes and his increasing disability. The film was met with worldwide acclaim and Eddie Redmayne, who played Stephen Hawking, won the Academy Award for Best Actor at the 2015 ceremony.

theoretical physics phd cambridge

Travel was one of Professor Hawking’s pastimes. One of his first adventures was to be caught up in the 7.1 magnitude Bou-in-Zahra earthquake in Iran in 1962. In 1997 he visited the Antarctic. He has plumbed the depths in a submarine and in 2007 he experienced weightlessness during a zero-gravity flight, routine training for astronauts. On his return to ground he quipped “Space, here I come.”

Writing years later on his website, Professor Hawking said: “I have had motor neurone disease for practically all my adult life. Yet it has not prevented me from having a very attractive family and being successful in my work. I have been lucky that my condition has progressed more slowly than is often the case. But it shows that one need not lose hope.”

At a conference In Cambridge held in celebration of his 75th birthday in 2017, Professor Hawking said “It has been a glorious time to be alive and doing research into theoretical physics. Our picture of the Universe has changed a great deal in the last 50 years, and I’m happy if I’ve made a small contribution.”

And he said he wanted others to feel the passion he has for understanding the universal laws that govern us all. “I want to share my excitement and enthusiasm about this quest. So remember to look up at the stars and not down at your feet. Try to make sense of what you see and wonder about what makes the universe exist. Be curious, and however difficult life may seem, there is always something you can do, and succeed at. It matters that you don’t just give up.”

Words: Tom Kirk, Sarah Collins

Images: Alan Fersht, Graham CopeKoga, Andre Pattenden, Sir Cam, Dan White

theoretical physics phd cambridge

theoretical physics phd cambridge

City University of Hong Kong (CityUHK) and the University of Cambridge signed several Memoranda of Understanding (MoUs) to foster academic and research collaboration in 2024.

Not only a partner of CSCI’s internship schemes, the University of Cambridge is also the groomer of our outstanding students.

We are proud that Mr. Sam Cheng Chun Wun , a CityUHK BSc in Computing Mathematics (BSCM) local graduate, received a four-year full scholarship of HK$2 million to pursue his PhD study in Mathematics of Information at the University of Cambridge. Currently, he is a PhD student under the co-supervision of Professor Carola-Bibiane Schönlieb and Dr. Angelica I. Aviles-Rivero, at the Cambridge Image Analysis Group within the Department of Applied Mathematics and Theoretical Physics.

Sam graduated with First-Class Honours from BSCM programme at CItyUHK in 2023. When studying at CityUHK, Sam was on the Dean’s List thrice. With support from the College of Science (CSCI), he participated in the Overseas Internship Scheme from May to Aug 2022 and worked on a summer research project about Neural Ordinary Differential Equations (NODEs) and medical image segmentation at the University of Cambridge. He achieved Top Quartile results in the 2022 Simon Marais Mathematics Competition (SMMC), partnering with Toromanovic Jovan (a student of BSc in Computer Science) and won the “Pair- Best-in-University Prizes, East Division” Prize in the competition.

City University of Hong Kong's Mathematics Department has played a crucial role in shaping my academic and personal growth,” Sam shared. The department has provided him countless opportunities and a supportive environment to develop skills and explore interests in mathematics. “Through their invaluable guidance, I have had the opportunity to participate in various STEM internships and overseas summer research at prestigious institutions such as the University of Cambridge.” He said.

Sam is the first BSc Computing Mathematics graduate admitted with 4-year full scholarship for PhD study at the University of Cambridge since 1994. Congratulations!

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The MPhil is offered by the Department of Physics as a full-time period of research and introduces students to research skills and specialist knowledge. Its main aims are:

  • to give students with relevant experience, at a first-degree level, the opportunity to carry out focused research in the discipline under close supervision; and
  • to give students the opportunity to acquire or develop skills and expertise relevant to their research interests.

Learning Outcomes

By the end of the programme, students will have demonstrated:

  • a comprehensive understanding of techniques, and a thorough knowledge of the literature, applicable to their own research;
  • demonstrated originality in the application of knowledge, together with a practical understanding of how research and enquiry are used to create and interpret knowledge in their field;
  • shown abilities in the critical evaluation of current research and research techniques and methodologies;
  • demonstrated some self-direction and originality in tackling and solving problems, and acted autonomously in the planning and implementation of research; and
  • produced a thesis for examination.

Students wishing to progress to PhD study in Physics or a related subject after passing the Masters degree should reapply for admission to a PhD through the University admissions website, taking the funding and application deadlines into consideration.

The Postgraduate Virtual Open Day usually takes place in the first week of November. It’s a great opportunity to ask questions to admissions staff and academics, explore the Colleges virtually, and to find out more about courses, the application process and funding opportunities. Visit the  Postgraduate Open Day  page for more details.

See further the  Postgraduate Admissions Events  pages for other events relating to Postgraduate study, including study fairs, visits and international events.

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Easter 2025

Michaelmas 2025, easter 2026, funding deadlines.

These deadlines apply to applications for courses starting in Michaelmas 2025, Lent 2026 and Easter 2026.

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Research Associate in Theoretical Condensed Matter Physics x 2 (Fixed Term)

University of cambridge - department of physics.

Location: Cambridge
Salary: £29,605 to £44,263 per annum
Hours: Full Time
Contract Type: Fixed-Term/Contract
Placed On: 12th September 2024
Closes: 6th October 2024
Job Ref: KA43139

Fixed-term: The funds for this post are available until 30 September 2026 in the first instance.

The Theory of Condensed Matter group at the Cavendish Laboratory, University of Cambridge aims to fill up to 2 Postdoctoral Research Associate positions, until 30th September 2026 (with the possibility of an extension, subject to funding). These are intended as group positions in a research programme involving several academics, including Profs B.Béri, C.Castelnovo, N.Cooper, and A.Lamacraft. We are particularly, though not exclusively, interested in the following research areas: Thermodynamic and response properties in topological magnetic materials, from microscopic modelling to effective theories; Emergent quantum dynamics, in frustrated magnets, driven dissipative, and/or topological quantum many-body systems, and in quantum circuit models; Emergent classical dynamical effects, from kinetically constrained relaxation pathways in topological systems to the non-equilibrium phase behaviour of soft and biological systems.

The Theory of Condensed Matter group offers a connected, lively and stimulating scientific and social environment, with regular activities ranging from internal and external group seminars, graduate lectures and introductory presentations on topics of current research, and social events. It encompasses 8 permanent academics, 35 graduate students and 20 postdoctoral researchers (many of whom hold independent fellowships).

The role holder will be expected to conduct postdoctoral-level research in collaboration with some of the investigators named above, as appropriate for the research topic. Collaboration with other members of the group, in particular other postdoc and junior members, as well as collaborations across and outside the department are highly encouraged. The role holder will also be expected to contribute to the general life and scientific environment of the group, e.g., contributing to the organisation of internal and external seminars, and offering graduate-level lectures based on their current topic of research.

Informal enquiries should be directed to the most relevant academic listed above.

The successful candidate will hold (or be close to obtaining) a PhD in Physics (or a closely related discipline), with a proven track record in conducting and publishing scientific research in modern condensed matter theory. Preference will be given to candidates with experience in dynamics and our-of-equilibrium phenomena. The candidate will also have the ability to manage workload, engage in collaborations and communicate results in talks and presentations.

The post holder will be located at the Department of Physics, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE.

Please be advised that references will be required in advance of interviews. Please inform your referees that reference letters will be requested shortly after the closing date, with a deadline of 09/10/2024.

Please ensure that you upload your Curriculum Vitae (CV) and a covering letter in the upload section of the online application. If you upload any additional documents which have not been requested, we will not be able to consider these as part of your application. Please submit your application by midnight on the closing date. 

If you have any questions about this vacancy please contact Prof Nigel Cooper ( [email protected] ). If you have any questions about the application process, please contact [email protected] .

Please quote reference KA43139 on your application and in any correspondence about this vacancy.

The University actively supports equality, diversity and inclusion and encourages applications from all sections of society.

The University has a responsibility to ensure that all employees are eligible to live and work in the UK.

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theoretical physics phd cambridge

Professor David Tong

Professor of Theoretical Physics Fellow of Trinity College High Energy Particle Physics Group Department of Applied Mathematics and Theoretical Physics University of Cambridge

Email d.tong at damtp dot cam dot ac dot uk Office: +44 (0)1223 337874 DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA

I'll be giving talks on physics at a number of festivals this summer. Come and see me at...

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COMMENTS

  1. PhD in Applied Mathematics and Theoretical Physics

    PhD in Applied Mathematics and Theoretical Physics. This is a three to four-year research programme culminating in submission and examination of a thesis containing substantial original work. PhD students carry out their research under the guidance of a supervisor, and research projects are available from a wide range of subjects studied within ...

  2. PhD in Physics

    How To Apply. The PhD in Physics is a full-time period of research that introduces or builds upon research skills and specialist knowledge. Students are assigned a research Supervisor, a specialist in part or all of the student's chosen research field, and join a research group that might vary in size between a handful to many tens of individuals.

  3. Department of Applied Mathematics and Theoretical Physics

    The Department of Applied Mathematics and Theoretical Physics is one of the largest and strongest of its kind in Europe. The Department currently hosts approximately 140 Academic and Research Staff and around 160 PhD students at the Centre for Mathematical Sciences, a purpose-built complex in Wilberforce Road, Cambridge.. Research in DAMTP is loosely organised into eight broad subject areas ...

  4. PhD in Physics

    PhD in Physics (3+ years) The majority of postgraduate students (about 110 are accepted each year) carry out research at the Cavendish Laboratory towards a PhD degree. For admission to the PhD, the Postgraduate Admissions Office normally requires applicants to have achieved the equivalent of a UK Masters (Pass).

  5. Department of Applied Mathematics and Theoretical Physics

    About the Department of Applied Mathematics and Theoretical Physics. The Department of Applied Mathematics and Theoretical Physics (DAMTP) is one of two Mathematics Departments at the University of Cambridge, the other being the Department of Pure Mathematics and Mathematical Statistics (DPMMS). The two Departments together constitute the Faculty of Mathematics, and are responsible for the ...

  6. Department of Applied Mathematics and Theoretical Physics

    Applied and Computational Analysis (ACA) at DAMTP spans a wide range of themes in partial differential equations, numerical analysis, dynamical systems and integrable systems. Its underlying organising principle is an inquiry into issues of interest in applications of mathematics and forging tools and methodology that are relevant in applications.

  7. Department of Applied Mathematics and Theoretical Physics

    PhD in Applied Mathematics and Theoretical Physics; PhD in Mathematics of Information ... with overseas and continental European students in a substantial majority over students from Cambridge and other UK universities. The normal criterion for admission to the course is a first class Honours Degree, or its equivalent, in mathematics or ...

  8. Research Programmes

    The Faculty of Mathematics offers three doctoral (PhD) and one MPhil research programmes. Select a course below to visit the University's Course Directory where you can read about the structure of the programmes, fees and maintenance costs, entry requirements and key deadlines. 12 months full-time, or 2 years part-time.

  9. PhD in Applied Mathematics and Theoretical Physics

    Applicants for this course should have achieved a UK First class Honours Degree. The usual minimum entry requirement is a first-class honours degree, awarded after a four-year course in physics, mathematics or engineering, or a three-year degree together with a one-year postgraduate course on advanced mathematics and theoretical physics.

  10. Postgraduate Admissions

    Postgraduate Students in the Department study for one of the following qualifications: Master of Advanced Studies (MASt in Physics), 9 Months. MPhil in Data Intensive Science,10 Months. MPhil in Planetary Sciences and Life in the Universe (PSLU), 10-month. MPhil in Physics (by research), 1 year. MPhil in Scientific Computing (taught/research ...

  11. PhD Admissions in High Energy Physics, General Relativity and Cosmology

    For these reasons, if you are interested in doing a PhD in theoretical physics in Cambridge we would strongly encourage you to consider applying for Part III first. Ultimately, the decision to accept any applicant as a PhD student is made by the faculty member who will become their supervisor. The HEP and GR groups cover research in a wide ...

  12. theoretical physics

    Large Hadron 'insider'. In a recent talk for TEDx, theoretical physicist Professor Ben Allanach explored the research he undertook during the two years he spent working on...

  13. DAMTP PhD Opportunities

    Several fully funded PhD studentships are available in Machine Learning and Artificial Intelligence; Centre for Doctoral Training in Data Intensive Science; Newnham Scholarship for Women in Theoretical Physics (Deadline: 15 December 2023) There are other awards available from Cambridge sources outside DAMTP. An up-to-date guide can be found here.

  14. HEP Graduate Admissions

    Ben Gripaios (email, phone +44 (0)1223 76 1014) for theoretical research. The University also has a lot of information for Prospective Graduate Students. The HEP Group welcomes applications from students wishing to study for a PhD in experimental or theoretical High Energy Physics. We normally have projects available on each of our active ...

  15. Department of Applied Mathematics and Theoretical Physics

    The Department of Applied Mathematics and Theoretical Physics (DAMTP) is one of two Mathematics Departments at the University of Cambridge, the other being the Department of Pure Mathematics and Mathematical Statistics (DPMMS). The two Departments together constitute the Faculty of Mathematics, and are responsible for the teaching of Mathematics and its applications within the Mathematical Tripos.

  16. PhD in Applied Mathematics and Theoretical Physics

    Find course details for PhD in Applied Mathematics and Theoretical Physics at University of Cambridge including subject rankings, tuition fees and key entry requirements. Cookies Notice. ... PhD in Applied Mathematics and Theoretical Physics University of Cambridge. Add to favourites GET MORE INFO Course options. 2 options available

  17. MASt in Mathematics (Theoretical Physics)

    This course is the Theoretical Physics stream of the Master of Advanced Study (MASt) in Mathematics; students should apply to only one of the four streams for the MAst (Applied Mathematics, Pure Mathematics, Mathematical Statistics, or Theoretical Physics). ... MASt students wishing to apply for a PhD at Cambridge must apply via the ...

  18. Center for Theoretical Physics

    We are a unified research and teaching center focused on fundamental physics. Our activities range from string theory and cosmology at the highest energies down through unification and beyond-the-standard-model physics, through the standard model, to QCD, hadrons, quark matter, and nuclei at the low energy scale. Learn More About Our Research.

  19. Centre for Quantum Information and Foundations

    The Centre for Quantum Information and Foundations, part of the University of Cambridge, and based within the Department for Applied Maths and Theoretical Physics, conducts theoretical research into all aspects of quantum information processing, the implications of quantum computing and quantum information theory for physics, and broader ...

  20. Professor Stephen Hawking

    Professor Hawking came to Cambridge in 1962 as a PhD student, and rose to become the Lucasian Professor of Mathematics, a position once held by Isaac Newton, in 1979. ... Professor Hawking said "It has been a glorious time to be alive and doing research into theoretical physics. Our picture of the Universe has changed a great deal in the last ...

  21. Department of Applied Mathematics and Theoretical Physics

    2015-: Professor of Environmental and Industrial Fluid Dynamics, BP Institute and the Department of Applied Mathematics and Theoretical Physics, University of Cambridge. 2020-: Head of Department of Applied Mathematics and Theoretical Physics, University of Cambridge. 2005-: Fellow and College Lecturer in Mathematics, Churchill College ...

  22. First BSc Computing Maths Local Graduate Obtained Full Scholarship for

    Sam is a PhD student at the Cambridge Image Analysis Group within the Department of Applied Mathematics and Theoretical Physics, at the University of Cambridge. Sam received a four-year full scholarship of HK$2 million to pursue PhD study at the University of Cambridge.

  23. MPhil in Physics

    How To Apply. The MPhil is offered by the Department of Physics as a full-time period of research and introduces students to research skills and specialist knowledge. Its main aims are: to give students with relevant experience, at a first-degree level, the opportunity to carry out focused research in the discipline under close supervision; and.

  24. Research Associate in Theoretical Condensed Matter Physics x 2 (Fixed

    Fixed-term: The funds for this post are available until 30 September 2026 in the first instance. The Theory of Condensed Matter group at the Cavendish Laboratory, University of Cambridge aims to fill up to 2 Postdoctoral Research Associate positions, until 30th September 2026 (with the possibility of an extension, subject to funding).

  25. Professor David Tong, Theoretical Physicist.

    Professor David Tong. Professor of Theoretical Physics. Fellow of Trinity College. High Energy Particle Physics Group. Department of Applied Mathematics and Theoretical Physics. University of Cambridge. Email d.tong at damtp dot cam dot ac dot uk. Office: +44 (0)1223 337874. DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge ...