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Personal Information
Personal Information
Date of Birth: 23 May 1989
Citizenship: Swiss
Family: Father of three (2021, 2023, 2025)
Education
Education
ETH Zürich Switzerland
Ph.D. in Mathematics 2019-2023
Advisors: Patrick Cheridito, Joaquim Serra.
Thesis: Inverse problems for variable coefficient nonlocal operators, defended March 8, 2023.
ETH Zürich Switzerland
M.Sc. in Interdisciplinary Sciences Major in Mathematics and Physical Chemistry 2017-2018
Advisors: Camillo De Lellis, Alessio Figalli.
Thesis: The generalized Caffarelli–Kohn–Nirenberg Theorem.
ETH Zürich Switzerland
B.Sc. in Interdisciplinary Sciences 2012-2017
Advisor: Gian-Michele Graf.
Thesis: Linear Response Theory and Influence Integrals for Open Quantum Systems.
Employment History
Employment History
University of Barcelona Spain
Postdoctoral Researcher (SNSF Postdoc.Mobility grant) 2023-2025
Advisor: Xavier Ros-Oton.
ETH Zürich Switzerland
Postdoctoral Researcher 2023
Advisors: Patrick Cheridito, Joaquim Serra.
ETH Zürich Switzerland
Ph.D. in Mathematics 2019-2023
Advisors: Patrick Cheridito, Joaquim Serra.
University of Regensburg Germany
Research Member 2018-2019
Advisor: Felix Finster.
ETH Zürich Switzerland
Teaching Assistant 2015
Physical Chemistry III: Molecular Quantum Mechanics
Lecturer: Beat Meier, Matthias Ernst
Audiovis Private School Switzerland
Teaching Assistant 2012-2013
Mathematics Teacher
Teaching Activities
Teaching Activities
2023: Course organizer and lecturer, Stochastics, ETH Zürich.
2022: Course organizer and teaching assistant, Mathematics III, ETH Zürich.
2021: Course organizer and lecturer, Analysis III, ETH Zürich.
2020: Course organizer and lecturer, Quantitative Risk Management, ETH Zürich.
2019: Seminar advisor, Theory and Applications of Machine Learning, ETH Zürich.
Research Interests
Research Interests
Partial differential equations; nonlocal operators; inverse problems and imaging; calculus of variations; harmonic and microlocal analysis; function space theory; geometry; deep learning.
Selected Articles
Selected Articles
Cǎtǎlin I. Cârstea and Philipp Zimmermann. Reconstruction of coefficients in the double phase problem. 2025. arXiv: 2504.01691 [math.AP].
Song-Ren Fu, Yongyi Yu, and Philipp Zimmermann. The Calderón problem for third order nonlocal wave equations with time-dependent nonlinearities and potentials. 2025. arXiv: 2411.08657 [math.AP].
Yi-Hsuan Lin, Teemu Tyni, and Philipp Zimmermann. Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. In: Calculus of Variations and Partial Differential Equations (2025). ISSN: 0944-2669, to appear.
Yi-Hsuan Lin, Jesse Railo, and Philipp Zimmermann. The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients. In: Revisita Matemática Iberoamericana 21.3 (2025), pp. 1129-1172. ISSN: 0213-2230. DOI: https://doi.org/10.2171/RMI/1539.
Yi-Hsuan Lin, Gen Nakamura, and Philipp Zimmermann. The Calderón problem for the Schrödinger equation in transversally anisotropic geometries with partial data. 2024. arXiv: 2408.08298 [math.AP].
Yi-Hsuan Lin, Teemu Tyni, and Philipp Zimmermann. Well-posedness and inverse problems for semilinear nonlocal wave equations. In: Nonlinear analysis 247 (2024), p. 113601. ISSN: /362-546X. DOI: https://doi.org/10.1016/j.na.2024.113601.
Jesse Railo and Philipp Zimmermann. Low regularity theory for the inverse fractional conductivity problem. In: Nonlinear Analysis 239 (2024), p. 113418. ISSN: 0362-546X. DOI: https://doi.org/10.1016/j.na.2023.113418.
Manas Kar, Jesse Railo, and Philipp Zimmermann. The fractional p-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems. In: Calculus of Variations and Partial Differential Equations 62.4 (2023), p. 130. ISSN: /944-2669. DOI: https://doi.org/1007/s00526-023-02468-9.
Jesse Railo and Philipp Zimmerman. Fractional Calderón problems and Poincaré inequalities on unbounded domains. Journal of Spectral Theory 13.1 (2023). pp. 63-131. ISSN: 1664-039X. DOI: https://doi.org/10.4171/JST/444.
Philipp Grohs, Fabian Hornung, Arnulf Jentzen, and Philipp Zimmermann. Space-time error estimates for deep neural network approximations for differential equations. In: Advances in Computational Mathematics 49.1 (2023), p. 4. ISSN: 1019-7168. DOI: https://doi.org/10.1007/s10444-022-09970-2.
Selected Talks
Selected Talks
2026: TBA, 12th International Conference "Inverse Problems: Modeling and Simulation", Paradise Bay Hotel, Malta
2024: The Calderón problem for nonlocal wave equations with polyhomogeneous nonlinearities, 14th AIMS Conference, NYU Abu Dhabi, United Arab Emirates.
2024: Inverse problem for nonlocal porous medium equations, 11th International Conference, Inverse Problems: Modeling and Simulation, Malta.
2024: The Calderón problem for nonlinear nonlocal wave equations, International Conference on Elliptic and Parabolic Problems, Italy.
2023: Inverse problem for nonlocal porous medium equations, International Zoom Inverse Problems Seminar, University of California, Irvine, USA.
2023: Fractional p-Calderón problems, 11th Applied Inverse Problems Conference, Göttingen, Germany.
2022: The fractional conductivity problem, Inverse Problems in Analysis and Geometry, University of Helsinki, Finland.
Prizes, Awards, Fellowships
Prizes, Awards, Fellowships
2023: Postdoc.Mobility grant, SNSF (#214500). Project: Nonlocal free boundary problems. Amount: CHF 115,552.
Scientific Reviewing
Scientific Reviewing
Reviewer for SIAM J. Imaging Sciences, SIAM J. Mathematical Analysis, Nonlinear Analysis, Calculus of Variations and PDE, among others.
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