Welcome

to my website. I am a mathematician working in the area of probability theory and stochastic analysis. Currently I am a PostDoc with Prof. Dr. Peter Friz at TU Berlin.

Previously, I was a PostDoc in the groups of Prof. Dr. Michael Röckner in Bielefeld and Prof. Franco Flandoli in Pisa. From 2018 to 2021 I was a PhD fellow in the IRTG 2235 at Bielefeld University.

My research centers around nonlinear Fokker-Planck-Kolmogorov equations, nonlinear Markov processes and fluid dynamical equations.

With Viorel Barbu (Iași), Sebastian Grube and Michael Röckner (both Bielefeld), we recently constructed the probabilistic counterpart for the Leibenson equation, a parabolic second order doubly nonlinear PDE, which generalizes both the porous media and the p-Laplace equation. Wie identified the correct associated McKean–Vlasov SDE and proved that the latter has unique solutions, which constitute a nonlinear Markov process. We call this process the Leibenson process. Moreover, we prove it consists of probabilistically strong solutions, i.e. it is adapted to the driving Brownian motion. The paper can be found on arXiv.

With Theresa Lange (Pisa) and Andre Schenke (Courant), we recently put a new paper on arXiv (to be found under Research), in which we prove the existence and non-uniqueness of probabilistically strong Leray-Hopf (i.e. „physical“) solutions to the 3D fractional Navier–Stokes equations (NSE) perturbed by transport noise. The question behind our research was whether the very interesting non-uniqueness results for deterministic and stochastic NSEs in the class of general solutions recently obtained by the convex integration community extend to the smaller, important class of physical solutions. Our result provides a first positive answer in this direction.

Get in touch

I am organizing the 3rd edition of the Young Summer School on Stochastic Analysis in Växjö (10.-13.06.2026). If you are interested, feel free to send me an email!