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Humboldt-Universität zu Berlin - Faculty of Mathematics and Natural Sciences - Department of Mathematics

Department of mathematics.

Postal address: Humboldt-Universität zu Berlin - Unter den Linden 6 - 10099 Berlin Domicile: Rudower Chaussee 25 - Johann von Neumann Haus - 12489 Berlin

The Berlin Mathematical School (BMS), is a joint graduate school of the mathematics departments of the three major Berlin universities, and is based at the Department of Mathematics at TU Berlin, being funded within the framework of the German „Initiative for Excellence“.

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Berlin Mathematics Research Center

MATH+, the Berlin Mathematics Research Center, is a cross-institutional and interdisciplinary Cluster of Excellence. It sets out to explore and further develop new approaches in application-oriented mathematics. Emphasis is placed on mathematical principles for using ever larger amounts of data in life and material sciences, in energy and network research, and in the humanities and social sciences.

MATH+ is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany´s Excellence Strategy (EXC-2046/1, project ID 390685689) for a first period of seven years since January 2019. It is a joint project of the three major universities in Berlin – Freie Universität Berlin, Humboldt-Universität zu Berlin, and Technische Universität Berlin – as well as the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) and the Zuse Institute Berlin (ZIB). MATH+ continues the success stories of the renowned Research Center Matheon and the Excellence-Graduate School Berlin Mathematical School (BMS).

MATH+ Distinguished Visiting Scholar Grigorios A. Pavliotis (Imperial College London) at ZIB

DFG Funds New “Collaborative Research Centre“ in Mathematics, Hosted by TU Berlin, Headed by MATH+ Distinguished Fellow Peter K. Friz

DFG Approved Two Research Training Groups (RTG) Headed by MATH+ Scientists

22. Juni – “Exzellentes Pub Quiz” zur Langen Nacht der Wissenschaften @TU Berlin

14 June – Heather Harrington: Topology Data Analysis for Multiscale Biology

31 May – Anna Wienhard: Beyond hyperbolic geometry (Kovalevskaya Colloquium)

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The roots of the Technische Universität Berlin and predecessor institutions date back to the time of Frederick the Great. These included important educational establishments of the Prussian State such as the Royal Mining Academy established in 1770, the Königliche Royal Building Academy founded in 1799, and the Royal Trade Academy, which opened its doors in 1827.

These disciplines find concrete expression in around 40 Bachelor’s and 60 Master’s programs. Many of these are indeed unique. TU Berlin is the only university in the capital region offering engineering subjects.

Such scientific achivements are built on basic research in the natural science disciplines of chemistry and physics, and mathematics, in addition to strongly innovation-oriented research in electrical engineering and the computer sciences for instance. 

One obvious indication of the university’s performance and dynamic development is the increase in external funding for its research projects from around 125 million euros in 2009, to circa 179 million euros in 2014. For years, TU Berlin has been ranked as one of the top universities in Germany without a medical school.

TU Berlin would be happy to assist you in getting settled here at the university and in Germany's capital. Our Dual Career Service provides you with various consulting services. In particular, we advise your partner on career issues as well as on application and job search strategies and arrange contacts with potential employers or academic institutions. In addition, we give advise on questions concerning school system, child care, arriving, housing and living in Berlin. We are looking forward to you!

PhD Programmes

• Ph.D. Data Management and Machine Learning
• Ph.D. Models and Simulation
• Ph.D. Reduced Order Modelling, Simulation, and Optimization of Coupled Systems
• Ph.D. Science of Intelligence
• Ph.D. Stochastic Analysis in Interaction
• Ph.D. Bioactive Peptides
• Ph.D. Optical Sciences and Quantum Technologies
• Ph.D. Industrial Engineering and Management
• Ph.D. Urban Water Interfaces
• Ph.D. Life Sciences and Fluid Dynamics
• Ph.D. Refiguration of Spaces

TU Berlin Scholarships

Below you will find scholarships related to TU Berlin. Distinction can be made between scholarships provided by the University and those provided by independent providers.

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For a complete overview of scholarships for TU Berlin, visit our scholarship search .

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Wifi access is available in all hostels, but is limited and may not be accessible from the bedrooms themselves.

Roommates for shared rooms will be paired or grouped according to gender. If you have a preferred roommate, please let us know via email.

Shared rooms for two people are referred to as "twin" rooms, but could appear as "double" rooms in any invoices, as this is how they are labelled by the properties. In every case, this refers to two separate, single beds in one room. 

Library services

The University Library is the central information facility at Technische Universität Berlin. We are committed to the university’s mission and goals.

ICT services

Students, Scholars and guests have access to on of Germany´s most modern science libraries with its three million items in various media and 30 000 square meters of floor space. 1300 work stations in various forms, campus-wide wi-fi, 300 computer workstations, several meeting rooms, multimedia workstations and a lounge area are used intensely by as many as 3100 visitors each day.

Campus life

In addition to our main campus situated in Berlin’s Charlottenburg-Wilmersdorf district in the heart of the “City West” area, TU Berlin also maintains two further large campuses in Berlin. One is located in the historical industrial district Wedding, and the other on the property of the famous “Gasometer” in the Schöneberg district. Individual laboratories, TU buildings and sports halls are also scattered around the city. In late 2012, the university inaugurated its first satellite campus on the Red Sea in El Gouna, Egypt.

Sports facilities

Motivated to improve fitness through individual strength training? Then our beautifully developed, 550 m 2 large TU fitness studio is just right. Around 75 different strength and endurance machines, a separate free weights area and a separate mat room await everyone who wants to train in a university atmosphere.

Founded in 1998 GPE was as one of the first postgraduate master programs at TU Berlin which was accredited by the ASIIN. Meanwhile, the TU Berlin changed their quality focus from pure quality assurance of separate study programs to having the university as a system evaluated.

Berlin, Berlin, Germany

Other programmes from this organisation.

• 22 (Pre-)Masters
• 21 Short Courses
• 4 Online Courses
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			Technische Universität Berlin Institut für Mathematik Sekretariat MA 1-0 MA 669 Straße des 17. Juni 136 10623 Berlin, Germany
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• 2015: Habilitation in Mathematics (postdoctoral qualification, Dr.rer.nat.habil.), Thesis: Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities, Technische Universität Berlin, Berlin, Germany
• 2009: Ph.D. in Mathematics (Dr.rer.nat.), Thesis: Comparison principles and multiple solutions for nonlinear elliptic problems, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany,
• 2006: Master in Mathematics (Diploma in Mathematics), Thesis: T-symmetrische Tensor-Differentialformen mit logarithmischen Polen, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• since 2019: Research Assistant (permanent), Technische Universität Berlin, Berlin, Germany
• since 2016: Privatdozent, Technische Universität Berlin, Berlin, Germany
• Fall 2017: Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• Spring 2017: Guest Professor 'Applied Analysis', Humboldt-Universität zu Berlin, Berlin, Germany
• Fall 2016: Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• Spring 2016: Substitute Professor 'Applied Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• 2009 – 2019: Research Assistant, Technische Universität Berlin, Berlin, Germany
• 2006 – 2009: Research Assistant, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• 2006 – 2008: Ph.D. Student, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
• 2007: Promotion price, awarded by the Georg Cantor Society for the diploma (master) in mathematics
• 2006 – 2008: Graduate scholarship assigned by the federal state Sachsen-Anhalt
• 2006: Award of the German Mathematical Society for course achievement
• 2003: Awarded by the German Mathematical Society for the intermediate diploma in mathematics
• N.S. Papageorgiou, P. Winkert, Applied Nonlinear Functional Analysis. An Introduction, Second Revised Edition, De Gruyter, Berlin, 2024, xii+722 pp. De Gruyter
• N.S. Papageorgiou, P. Winkert, Applied Nonlinear Functional Analysis. An Introduction, De Gruyter, Berlin, 2018, x+612 pp. De Gruyter
• P. Candito, R. Livrea, P. Winkert, Special issue on the occasion of the 70th birthday of Professor Siegfried Carl, Nonlinear Anal. Real World Appl. 74 (2023), Paper No. 103959. Preprint     Journal    
• S. Carl, P. Winkert, Parabolic double phase obstacle problems, Nonlinear Anal. Real World Appl., accepted 2024. Preprint     Journal    
• W. Liu, G. Dai, P. Winkert, S. Zeng, Multiple positive solutions for quasilinear elliptic problems in expanding domains, Appl. Math. Optim., accepted 2024. Preprint     Journal    
• S. El Manouni, K. Perera, P. Winkert, (p,q)-Laplacian problems with parameters in bounded and unbounded domains, Houston J. Math., accepted 2024. Preprint     Journal    
• M.M. Frisch, P. Winkert, Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition, Adv. Nonlinear Anal. 13 (2024), no. 1, Paper No. 20240009, 22 pp. Preprint     Journal    
• F. Borer, S. Carl, P. Winkert, Elliptic p-Laplacian systems with nonlinear boundary condition, J. Math. Anal. Appl. 538 (2024), no. 2, Paper No. 128421. Preprint     Journal     arXiv
• E. Amoroso, G. Bonanno, G. D'Agu ì , P. Winkert, Two solutions for Dirichlet double phase problems with variable exponents, Adv. Nonlinear Stud. 24 (2024), no. 3, 734–747. Preprint     Journal    
• H. Tao, L. Li, P. Winkert, Existence and multiplicity of solutions for fractional Schrödinger-p-Kirchhoff equations in R N , Forum Math., accepted 2024. Preprint     Journal    
• N.S. Papageorgiou, F. Vetro, P. Winkert, Sequences of nodal solutions for critical double phase problems with variable exponents, Z. Angew. Math. Phys. 75 (2024), no. 3, Paper No. 95. Preprint     Journal    
• W. Liu, G. Dai, P. Winkert, Multiple sign-changing solutions for superlinear (p,q)-equations in symmetrical expanding domains, Bull. Sci. Math. 191 (2024), Paper No. 103393, 21 pp. Preprint     Journal    
• E. Amoroso, A. Sciammetta, P. Winkert, Anisotropic (p ⃗ ,q ⃗ )-Laplacian problems with superlinear nonlinearities, Commun. Anal. Mech. 16 (2024), no. 1, 1–23. Preprint     Journal    
• S. Zeng, V.D. R ă dulescu, P. Winkert, Nonlocal double phase implicit obstacle problems with multivalued boundary conditions, SIAM J. Math. Anal. 56 (2024), no. 1, 877–912. Preprint     Journal    
• Á . Crespo-Blanco, P. Winkert, Nehari manifold approach for superlinear double phase problems with variable exponents, Ann. Mat. Pura Appl. (4) 203 (2024), no. 2, 605–634. Preprint     Journal     arXiv
• S. Carl, V.K. Le, P. Winkert, Multi-valued variational inequalities for variable exponent double phase problems: comparison and extremality results, Adv. Differential Equations, accepted 2023. Preprint     Journal     arXiv
• N.S. Papageorgiou, F. Vetro, P. Winkert, Sign changing solutions for critical double phase problems with variable exponent, Z. Anal. Anwend. 42 (2023), no. 1-2, 235–251. Preprint     Journal    
• K. Ho, P. Winkert, New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems, Calc. Var. Partial Differential Equations 62 (2023), no. 8, Paper No. 227, 38 pp. Preprint     Journal     arXiv
• K. Ho, P. Winkert, Infinitely many solutions to Kirchhoff double phase problems with variable exponents, Appl. Math. Lett. 145 (2023), Paper No. 108783, 8 pp. Preprint     Journal     arXiv
• H. Tao, L. Li, P. Winkert, Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential well in R N , J. Geom. Anal. 33 (2023), no. 9, Paper No. 276, 27 pp. Preprint     Journal    
• F. Vetro, P. Winkert, Nodal solutions for critical Robin double phase problems with variable exponent, Discrete Contin. Dyn. Syst. Ser. S 16 (2023), no. 11, 3333–3349. Preprint     Journal    
• R. Arora, A. Fiscella, T. Mukherjee, P. Winkert, Existence of ground state solutions for a Choquard double phase problem, Nonlinear Anal. Real World Appl. 73 (2023), 103914, 22 pp. Preprint     Journal     arXiv
• Y. Yang, W. Liu, P. Winkert, X. Yan, Existence of solutions for resonant double phase problems with mixed boundary value conditions, Partial Differ. Equ. Appl. 4 (2023), no. 3, Paper No. 18, 17 pp. Preprint     Journal    
• S. Zeng, Y. Bai, V.D. R ă dulescu, P. Winkert, An inverse problem for a double phase implicit obstacle problem with multivalued terms, ESAIM Control Optim. Calc. Var. 29 (2023), Paper No. 30, 23 pp. Preprint     Journal    
• U. Guarnotta, R. Livrea, P. Winkert, The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 34 (2023), no. 3, 617–639. Preprint     Journal     arXiv
• R. Arora, A. Fiscella, T. Mukherjee, P. Winkert, On double phase Kirchhoff problems with singular nonlinearity, Adv. Nonlinear Anal. 12 (2023), no. 1, Paper No. 20220312, 24 pp. Preprint     Journal     arXiv
• Y. Liu, V.T. Nguyen, P. Winkert, S. Zeng, Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms, Monatsh. Math. 202 (2023), no. 2, 363–376. Preprint     Journal    
• A. Sciammetta, E. Tornatore, P. Winkert, Bounded weak solutions to superlinear Dirichlet double phase problems, Anal. Math. Phys. 13 (2023), no. 2, Paper No. 23, 18 pp. Preprint     Journal    
• S. Zeng, N.S. Papageorgiou, P. Winkert, Inverse problems for double-phase obstacle problems with variable exponents, J. Optim. Theory Appl. 196 (2023), no. 2, 666–699. Preprint     Journal    
• S. Zeng, L. Gasi ń ski, V.D. R ă dulescu, P. Winkert, Anisotropic and isotropic implicit obstacle problems with nonlocal terms and multivalued boundary conditions, Commun. Nonlinear Sci. Numer. Simul. 118 (2023), Paper No. 106997, 34 pp. Preprint     Journal    
• Á . Crespo-Blanco, N.S. Papageorgiou, P. Winkert, (p,q)-Equations with negative concave terms, J. Geom. Anal. 33 (2023), no. 1, Paper No. 5, 26 pp. Preprint     Journal    
• F. Vetro, P. Winkert, Constant sign solutions for double phase problems with variable exponents, Appl. Math. Lett. 135 (2023), Paper No. 108404, 7 pp. Preprint     Journal    
• G. D'Agu ì , A. Sciammetta, P. Winkert, On the Fu č í k spectrum of the p-Laplacian with no-flux boundary condition, Nonlinear Anal. Real World Appl. 69 (2023) 103736, 17 pp. Preprint     Journal    
• G. D'Agu ì , A. Sciammetta, E. Tornatore, P. Winkert, Parametric Robin double phase problems with critical growth on the boundary, Discrete Contin. Dyn. Syst. Ser. S 16 (2023), no. 6, 1286–1299. Preprint     Journal    
• S. Zeng, V.D. R ă dulescu, P. Winkert, Double phase obstacle problems with multivalued convection and mixed boundary value conditions, Discrete Contin. Dyn. Syst. Ser. B 28 (2023), no. 2, 999–1023. Preprint     Journal     arXiv
• S. Zeng, Y. Bai, P. Winkert, J.-C. Yao, Identification of discontinuous parameters in double phase obstacle problems, Adv. Nonlinear Anal. 12 (2023), no. 1, 1–22. Preprint     Journal    
• C. Farkas, A. Fiscella, P. Winkert, On a class of critical double phase problems, J. Math. Anal. Appl. 515 (2022), no. 2, 126420, 16 pp. Preprint     Journal     arXiv
• F. Vetro, P. Winkert, Existence, uniqueness and asymptotic behavior of parametric anisotropic (p,q)-equations with convection, Appl. Math. Optim. 86 (2022), no. 2, Paper No. 18, 18 pp. Preprint     Journal    
• R. Arora, A. Fiscella, T. Mukherjee, P. Winkert, On critical double phase Kirchhoff problems with singular nonlinearity, Rend. Circ. Mat. Palermo (2) 71 (2022), no. 3, 1079–1106. Preprint     Journal    
• S. Zeng, V.D. R ă dulescu, P. Winkert, Double phase obstacle problems with variable exponent, Adv. Differential Equations 27 (2022), no. 9-10, 611–645. Preprint     Journal    
• W. Liu, G. Dai, N.S. Papageorgiou, P. Winkert, Existence of solutions for singular double phase problems via the Nehari manifold method, Anal. Math. Phys. 12 (2022), no. 3, Paper No. 75, 25 pp. Preprint     Journal     arXiv
• Á . Crespo-Blanco, L. Gasi ń ski, P. Harjulehto, P. Winkert, A new class of double phase variable exponent problems: Existence and uniqueness, J. Differential Equations 323 (2022), 182–228. Preprint     Journal     arXiv
• K. Ho, Y.-H. Kim, P. Winkert, C. Zhang, The boundedness and Hölder continuity of solutions to elliptic equations involving variable exponents and critical growth, J. Differential Equations 313 (2022), 503–532. Preprint     Journal     arXiv
• S. Zeng, V.D. R ă dulescu, P. Winkert, Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions, SIAM J. Math. Anal. 54 (2022), no. 2, 1898–1926. Preprint     Journal     arXiv
• W. Liu, P. Winkert, Combined effects of singular and superlinear nonlinearities in singular double phase problems in R N , J. Math. Anal. Appl. 507 (2022), no. 2, 125762, 19 pp. Preprint     Journal     arXiv
• Á . Crespo-Blanco, N.S. Papageorgiou, P. Winkert, Parametric superlinear double phase problems with singular term and critical growth on the boundary, Math. Methods Appl. Sci. 45 (2022), no. 4, 2276–2298. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, A multiplicity theorem for anisotropic Robin equations, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 33 (2022), no. 1, 1–22. Preprint     Journal     arXiv
• S. El Manouni, G. Marino, P. Winkert, Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian, Adv. Nonlinear Anal. 11 (2022), no. 1, 304–320. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, On a class of singular anisotropic (p,q)-equations, Rev. Mat. Complut. 35 (2022), no. 2, 545–571. Preprint     Journal     arXiv
• C. Farkas, A. Fiscella, P. Winkert, Singular Finsler double phase problems with nonlinear boundary condition, Adv. Nonlinear Stud. 21 (2021), no. 4, 809–825. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation, Results Math. 76 (2021), no. 4, Paper No. 169, 20 pp. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Positive solutions for singular anisotropic (p,q)-equations, J. Geom. Anal. 31 (2021), no. 12, 11849–11877. Preprint     Journal     arXiv
• C. Farkas, P. Winkert, An existence result for singular Finsler double phase problems, J. Differential Equations 286 (2021), 455–473. Preprint     Journal     arXiv
• L. Gasi ń ski, P. Winkert, Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold, J. Differential Equations 274 (2021), 1037–1066. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Singular Dirichlet (p,q)-equations, Mediterr. J. Math. 18 (2021), no. 4, Paper No. 141, 20 pp. Preprint     Journal     arXiv
• S. Zeng, Y. Bai, L. Gasi ń ski, P. Winkert, Convergence analysis for double phase obstacle problems with multivalued convection term, Adv. Nonlinear Anal. 10 (2021), no. 1, 659–672. Preprint     Journal    
• A. Bahrouni, V.D. R ă dulescu, P. Winkert, Small perturbations of Robin problems driven by the p-Laplacian plus a positive potential, Topol. Methods Nonlinear Anal. 57 (2021), no. 2, 663–673. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, (p,q)-Equations with singular and concave convex nonlinearities, Appl. Math. Optim. 84 (2021), no. 3, 2601–2628. Preprint     Journal     arXiv
• S. Zeng, L. Gasi ń ski, P. Winkert, Y. Bai, Existence of solutions for double phase obstacle problems with multivalued convection term, J. Math. Anal. Appl. 501 (2021), no. 1, 123997, 12 pp. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Positive solutions for weighted singular p-Laplace equations via Nehari manifolds, Appl. Anal. 100 (2021), no. 11, 2436–2448. Preprint     Journal     arXiv
• A. Bahrouni, V.D. R ă dulescu, P. Winkert, Double phase problems with variable growth and convection for the Baouendi-Grushin operator, Z. Angew. Math. Phys. 71 (2020), no. 6, 183. Preprint     Journal    
• A. Bahrouni, V.D. R ă dulescu, P. Winkert, Robin fractional problems with symmetric variable growth, J. Math. Phys. 61 (2020), no. 10, 101503, 14 pp. Preprint     Journal     arXiv
• S. Zeng, Y. Bai, L. Gasi ń ski, P. Winkert, Existence results for double phase implicit obstacle problems involving multivalued operators, Calc. Var. Partial Differential Equations 59 (2020), no. 5, Paper No. 176, 18 pp. Preprint     Journal    
• G. Marino, P. Winkert, Existence and uniqueness of elliptic systems with double phase operators and convection terms, J. Math. Anal. Appl. 492 (2020), no. 1, 124423, 13 pp. Preprint     Journal     arXiv
• A. Bahrouni, V.D. R ă dulescu, P. Winkert, A critical point theorem for perturbed functionals and low perturbations of differential and nonlocal systems, Adv. Nonlinear Stud. 20 (2020), no. 3, 663–674. Preprint     Journal    
• G. Marino, P. Winkert, L ∞ -bounds for general singular elliptic equations with convection term, Appl. Math. Lett. 107 (2020), 106410, 6 pp. Preprint     Journal     arXiv
• L. Gasi ń ski, P. Winkert, Constant sign solutions for double phase problems with superlinear nonlinearity, Nonlinear Anal. 195 (2020), 111739, 9 pp. Preprint     Journal     arXiv
• Y. Bai, L. Gasi ń ski, P. Winkert, S. Zeng, W 1,p versus C 1 : The nonsmooth case involving critical growth, Bull. Math. Sci. 10 (2020), no. 3, 2050009, 15 pp. Preprint     Journal    
• L. Gasi ń ski, P. Winkert, Existence and uniqueness results for double phase problems with convection term, J. Differential Equations 268 (2020), no. 8, 4183–4193. Preprint     Journal     arXiv
• G. Marino, P. Winkert, Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition, J. Math. Anal. Appl. 482 (2020), no. 2, 123555, 19 pp. Preprint     Journal     arXiv
• S.A. Marano, P. Winkert, Corrigendum to ''On a quasilinear elliptic problem with convection term and nonlinear boundary condition'' [Nonlinear Anal. 187 (2019), 159–169], Nonlinear Anal. 189 (2019), 111578. Preprint     Journal    
• G. D'Aguì, B. Di Bella, P. Winkert, Two positive solutions for nonlinear fourth-order elastic beam equations, Electron. J. Qual. Theory Differ. Equ. 2019 , Paper No. 37, 12 pp. Preprint     Journal    
• G. Bonanno, G. D'Aguì, P. Winkert, A two critical points theorem for non-differentiable functions and applications to highly discontinuous PDE's, Pure Appl. Funct. Anal. 4 (2019), no. 4, 709–725. Preprint     Journal    
• S.A. Marano, P. Winkert, On a quasilinear elliptic problem with convection term and nonlinear boundary condition, Nonlinear Anal. 187 (2019), 159–169. Preprint     Journal    
• D. Motreanu, P. Winkert, Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence, Appl. Math. Lett. 95 (2019), 78–84. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Nonlinear systems with Hartman-type perturbations, Monatsh. Math. 190 (2019), no. 2, 389–404. Preprint     Journal    
• G. Marino, P. Winkert, Moser iteration applied to elliptic equations with critical growth on the boundary, Nonlinear Anal. 180 (2019), 154–169. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Solutions with sign information for nonlinear nonhomogeneous problems, Math. Nachr. 292 (2019), no. 4, 871–891. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Singular p-Laplacian equations with superlinear perturbation, J. Differential Equations 266 (2019), no. 2-3, 1462–1487. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Double resonance for Robin problems with indefinite and unbounded potential, Discrete Contin. Dyn. Syst. Ser. S 11 , (2018), no. 2, 323–344. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Asymmetric (p,2)-equations, superlinear at +∞, resonant at -∞, Bull. Sci. Math. 141 (2017), no. 5, 443–488. Preprint     Journal    
• S. El Manouni, H. Hajaiej, P. Winkert, Bounded solutions to nonlinear problems in R N involving the fractional Laplacian depending on parameters, Minimax Theory Appl. 2 (2017), no. 2, 265–283. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities, Positivity 20 (2016), no. 4, 945–979. Preprint     Journal    
• P. Winkert, R. Zacher, Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth, Nonlinear Anal. 145 (2016), 1–23. Preprint     Journal     arXiv
• N.S. Papageorgiou, P. Winkert, Nonlinear Robin problems with a reaction of arbitrary growth, Ann. Mat. Pura Appl. (4) 195 (2016), no. 4, 1207–1235. Preprint     Journal    
• G. Bonanno, G. D'Aguì, P. Winkert, Sturm-Liouville equations involving discontinuous nonlinearities, Minimax Theory Appl. 1 (2016), no. 1, 125–143. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Nonlinear nonhomogeneous Dirichlet equations with a superlinear nonlinearity, Results Math. 70 (2016), no. 1, 31–79. Preprint     Journal     arXiv
• P. Winkert, R. Zacher, Corrigendum to ''A priori bounds for weak solutions to elliptic equations with nonstandard growth'' [Discrete Contin. Dyn. Syst. Ser. S 5 (2012), 865–878], Discrete Contin. Dyn. Syst. Ser. S, published on-line as note, 2015, 1–3. Preprint     Journal     arXiv
• S. El Manouni, N.S. Papageorgiou, P. Winkert, Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator, Monatsh. Math. 177 (2015), no. 2, 203–233. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, Resonant (p,2)-equations with concave terms, Appl. Anal. 94 (2015), no. 2, 342–360. Preprint     Journal    
• P. Winkert, On the boundedness of solutions to elliptic variational inequalities, Set-Valued Var. Anal. 22 (2014), no. 4, 763–781. Preprint     Journal    
• G. Bonanno, P. Winkert, Multiplicity results to a class of variational-hemivariational inequalities, Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 493–516. Preprint     Journal    
• N.S. Papageorgiou, P. Winkert, On a parametric nonlinear Dirichlet problem with subdiffusive and equidiffusive reaction, Adv. Nonlinear Stud. 14 (2014), no. 3, 747–773. Preprint     Journal    
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• P. Winkert, Multiplicity results for a class of elliptic problems with nonlinear boundary condition, Commun. Pure Appl. Anal. 12 (2013), no. 2, 785–802. Preprint     Journal    
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• D. Motreanu, P. Winkert, On the Fu čí k spectrum for the p-Laplacian with Robin boundary condition, Nonlinear Anal. 74 (2011), no. 14, 4671–4681. Preprint     Journal    
• G. Bonanno, D. Motreanu, P. Winkert, Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions, J. Math. Anal. Appl. 381 (2011), no. 2, 627–637. Preprint     Journal    
• P. Winkert, Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities, J. Math. Anal. Appl. 377 (2011), no. 1, 121–134. Preprint     Journal    
• D. Motreanu, P. Winkert, Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition, Matematiche (Catania) 65 (2010), no. 2, 109–119. Preprint     Journal    
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• P. Winkert, Entire extremal solutions for elliptic inclusions of Clarke′s gradient type, Z. Anal. Anwend. 29 (2010), no. 1, 63–75. Preprint     Journal    
• S. Carl, P. Winkert, General comparison principle for variational-hemivariational inequalities, J. Inequal. Appl. 2009 , Art. ID 184348, 29 pp. Preprint     Journal    
• P. Brückmann, P. Winkert, T-symmetrical tensor differential forms with logarithmic poles along a hypersurface section, Int. J. Pure Appl. Math. 46 (2008), no. 1, 111–136. Preprint     Journal    
• P. Winkert, Discontinuous variational-hemivariational inequalities involving the p-Laplacian, J. Inequal. Appl. 2007 , Art. ID 13579, 11 pp. Preprint     Journal    
• D. Motreanu, P. Winkert, Elliptic problems with nonhomogeneous differential operators and multiple solutions, Chapter 15 in: Mathematics Without Boundaries (Surveys in Pure Mathematics), 357–379, Springer, New York, 2014. PDF     Book chapter
• D. Motreanu, P. Winkert, The Fucik spectrum for the negative p-Laplacian with different boundary conditions, Chapter 28 in: Nonlinear Analysis (Stability, Approximation, and Inequalities), 471–485, Springer, New York, 2012. PDF     Book chapter
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• P. Winkert, T-symmetrische Tensor-Differentialformen mit logarithmischen Polen, Diploma thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2006 (available only in German).
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Press release | 31 May 2024 | sn

German research foundation funds new collaborative research centre/transregio in mathematics, tu berlin to act as coordinating university for the new research consortium.

The Collaborative Research Centre/Transregio "Rough Analysis, Stochastic Dynamics and Related Fields" (CRC/Transregio 388) is one of eleven new Collaborative Research Centres to be funded by the German Research Foundation (DFG) over the next four years. TU Berlin is the coordinating university; co-applicants are FU Berlin and HU Berlin.

The spokesperson for CRC/Transregio 388 is Professor Dr Peter K. Friz, who heads the Chair of Financial and Actuarial Mathematics at TU Berlin’s Institute of Mathematics and also conducts research at the Weierstrass Institute for Applied Analysis and Stochastics. Further spokespersons include Professor Dr. Nicolas Perkowski (FU Berlin) and Professor Dr. Ulrich Horst (HU Berlin).

Die Theorie der rauen Pfade

“In this CRC/Transregio, we will investigate the interplay between rough analysis and stochastic dynamics. Stochastic dynamics builds on probability theory and stochastic analysis to investigate the development of systems under the influence of chance. The field has developed over a number decades and has far-reaching implications for many areas such as statistical physics, financial mathematics, uncertainty quantification, quantum field theory, mathematical biology, and economics,” Professor Friz explains. "Rough analysis, on the other hand, is the latest breakthrough in mathematics, and has its roots in the theory of rough paths, which is a key area of my work. This is a theory of objects with time parameters that, for example, model a particle moving in time. The path of motion of such particles is referred to as a rough path, as for example the jagged graph of a stock price."

Originally intended to introduce noise/signal robustness, rough analysis offers a nonlinear extension of distribution theory, which is crucial for understanding singular stochastic dynamics as well as nonlinear effects of signals.

Berlin's researchers play a crucial role

Recently, rough analysis has progressed beyond its origins to develop profound mathematical structures with significant geometric and algebraic components. This is also evident from its inclusion in the renowned “Mathematics Subject Classification,” which functions as a kind of map of mathematics. Researchers in Berlin have made a decisive contribution to this important development. They have been supported in their work by the cross-institutional and cross-disciplinary Cluster of Excellence MATH+, the Berlin-Oxford DFG Research Training Group "Stochastic Analysis in Interaction," the European Research Council (ERC), the Einstein Foundation Berlin, and a previous DFG research group.

The overarching goal of the new CRC/Transregio is to investigate the impact of rough analysis on areas such as analysis, algebra/geometry, and probability theory, as well as closely related applied topics such as statistics, stochastic control theory, and mathematical finance. This also includes questions on differential equations under the influence of highly irregular random fluctuations, such as they also occur in statistical physics. New algebraic structures play an important role here, which in turn have an impact on the field of statistics. The use of rough structures in stochastic control theory and financial mathematics ("rough volatility") is another important aspect of the research program.

Cooperation partners include the Max Planck Institute for Mathematics in the Sciences in Leipzig, the University of Potsdam, and the University of Konstanz.

Peter Karl Friz

[email protected]

Sofía from Colombia

Martha from Uganda

Sophia from the US

Li Li from China

Ángel from Spain

Yoanna from Bulgaria

Abhinav from India

Dragana from Serbia

Lena from Germany

Alexander from the United Kingdom

Simona from Bulgaria

Efstathia from Greece

Evgenia from Russia

Christoph from Germany

Ignacio from Chile

Todor from Bulgaria

Giulia from Italy and the USA

in the summer semester 14 June 2024 - (MPI Dresden) - @TU (EW 201) cancelled! 28 June 2024 - (Universitat de Barcelona) - @ZIB 5 July 2024 - : (U Paris-Est) @HU (ESZ) 12 July 2024 - (DESY, Helholtz Imaging) and BMS Certificate Ceremony @PTB 26 - 28 June 2024 26 June - 9 July 2024 @FU/ZIB   .

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