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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
Open PhD position: I am looking to recruit a PhD student to start in 2027 (flexible starting date).
If you are interested, please apply through the current BIGS call (deadline: Dec 06), listing me as your potential mentor.
Feel free to contact me for more information!
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)The Neumann problem for the fractional Laplacian: optimal regularity via the Mellin transform,
Serena Dipierro, Xavier Ros-Oton, Enrico Valdinoci, Marvin Weidner.
Comm. Amer. Math. Soc. accepted for publicationOptimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
Minhyun Kim, Marvin Weidner.
J. Eur. Math. Soc. (2025), No.1760.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.
Improvement of flatness for nonlocal free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
J. Eur. Math. Soc. (2025), No.1724.Optimal regularity for nonlocal elliptic equations and free boundary problems,
Xavier Ros-Oton, Marvin Weidner.
Amer. J. Math. accepted for publicationPotential theory for nonlocal drift-diffusion equations,
Quoc-Hung Nguyen, Simon Nowak, Yannick Sire, Marvin Weidner.
Arch. Rat. Mech. Anal. 248 (2024), No.126.The parabolic Harnack inequality for nonlocal equations,
Moritz Kassmann, Marvin Weidner.
Duke Math. J. 173 (2024), No.17, 3413-3451.
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