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I am a Professor (Bonn Junior Fellow) at the Institute for Applied Mathematics at the University of Bonn (since September 2025).
My research focuses on regularity theory for partial differential equations. In particular, I am interested in nonlocal equations, kinetic theory, and free boundary problems.
From September 2022 - August 2025, I was a postdoctoral researcher in the ERC projects "SSNSD" and "EllipticPDE" led by Xavier Ros-Oton at the Universitat de Barcelona.
In August 2022, I obtained my PhD from Bielefeld University, under the supervision of Moritz Kaßmann, in the IRTG 2235.
© Universität Bonn/Bernadett Yehdou
Contact information:
email: mweidner@uni-bonn.de
address: Endenicher Allee 60, 53115 Bonn.
office: Mathematik Zentrum, 2.067
Selected articles:
Optimal regularity for kinetic Fokker-Planck equations in domains,
Xavier Ros-Oton, Marvin Weidner.
arXiv Preprint (2025)Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
Minhyun Kim, Marvin Weidner.
J. Eur. Math. Soc. (2025), No.1760.Optimal regularity for nonlocal elliptic equations and free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
Amer. J. Math. accepted for publication
Improvement of flatness for nonlocal free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
J. Eur. Math. Soc. (2025), No.1724.Potential theory for nonlocal drift-diffusion equations,
Quoc-Hung Nguyen, Simon Nowak, Yannick Sire, Marvin Weidner.
Arch. Rat. Mech. Anal. 248 (2024), No.126.Semiconvexity estimates for nonlinear integro-differential equations,
Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner.
Comm. Pure Appl. Math. 78 (2025), No.3, 592-647.The parabolic Harnack inequality for nonlocal equations,
Moritz Kassmann, Marvin Weidner.
Duke Math. J. 173 (2024), No.17, 3413-3451.
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