Research

I'm a mathematician with a strong focus on Analysis of PDEs, in particular PDEs with a gradient flow structure. I am currently studying equations with nonlocal mobility arising from quantum-mechanical models. Their analysis involves a variety of methods from functional analysis and operator theory.

Research interests: Analysis of PDEs, Functional Analysis and Operator Theory, Schrödinger operators

Further mathematical interests: Algebraic and Differential Topology, Mathematical Physics, Quantum (Information) Theory 

• Bachelor thesis in physics: Spectral Properties of the SYK Model, completed in the summer term 2022 under the supervision of Prof. Dr. Simone Warzel

• Research project: On local well-posedness for the nonlinear Schrödinger equation with general power nonlinearity arXiv:2506.10595); joint work with  Lucia Arens under the supervision of Prof. Dr. Daniel Matthes

• Master thesis in mathematics: Asymptotic Analysis of a Discretized Quantum Drift-Diffusion Model – Gamma-Convergence of the Discrete EDE-Functional and Semiclassical Asymptotics, completed in 2026 under the supervision of Prof. Dr. Daniel Matthes