Max Sauerbrey
Dr. · Postdoctoral Researcher
MPI MiS
Research profile
Max Sauerbrey is an applied stochastic analyst working on the rigorous analysis of real-world phenomena featuring randomness. His research centres on stochastic partial differential equations, fluid mechanics and Markov processes.
Research areas
Nonlinear PDEs · SPDEs · Stochastic Fluid Dynamics · Non-equilibrium Statistical Mechanics, Interacting Particle Systems and Fluctuating Hydrodynamics
Five research keywords
stochastic PDEs · fluid mechanics · Markov processes · regularity theory · qualitative properties
Contact and links
Academic links
Curriculum vitae
| Date | Appointment / education |
|---|---|
| 11/2024–present | Postdoctoral researcher, Max Planck Institute for Mathematics in the Sciences, Leipzig; mentors: Benjamin Gess and Felix Otto. |
| 11/2020–10/2024 | PhD in Mathematics, Delft University of Technology; advisor: Manuel Gnann; promotor: Mark Veraar. |
| 10/2019–03/2020 | Research assistant, Fraunhofer ITWM, Mathematics for Vehicle Engineering. |
| 09/2018–10/2020 | MSc Mathematics International, TU Kaiserslautern. |
| 10/2015–08/2018 | BSc Mathematics, TU Kaiserslautern. |
Publications
This catalogue contains all publications by the member, including work from before joining SAiS. Journal versions and preprints are maintained as one record per scientific work.
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Dirichlet form analysis of the Jacobi process
Published · Stochastic Processes and their Applications 157, 376–412 (2023). We construct and analyze the Jacobi process – in mathematical biology referred to as Wright-Fisher diffusion – using a Dirichlet form. The corresponding Dirichlet space takes the form of a Sobolev space…
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Martingale solutions to the stochastic thin-film equation in two dimensions
Published · Annales de l’Institut Henri Poincaré B 60(1), 373–412 (2024). We construct solutions to the stochastic thin-film equation with quadratic mobility and Stratonovich gradient noise in the physically relevant dimension $d=2$ and allow in particular for solutions with non-full support. The construction…
Current SAiS projects
No current SAiS project assignment has been confirmed; information should be provided if applicable.
Talks and posters
Selected talks and posters: information to be provided by the member.
Teaching
| Period | Teaching activity |
|---|---|
| 2020–2024 | Exercise classes at TU Delft: Analysis 2, Fourier Analysis, Differential Geometry, and Spectral Theory for Operators and Semigroups. |
| 2016–2020 | Exercise classes at TU Kaiserslautern: Foundations of Mathematics 1, Introduction to Functional Analysis, and Functional Analysis. |