My research focuses on the numerical analysis of algorithms for geometric surface flows and for evolving surface partial differential equations, e.g. mean curvature flow, Willmore flow, inverse mean curvature flow, and geometric flows coupled to diffusion processes.
I am interested in time discretisation methods, numerical methods for parabolic and wave-type problems with dynamic boundary conditions, numerical analysis for Maxwell's equations with various boundary conditions.
○ My research project on geometric surface flows is funded by the Heisenberg Programme of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – titled Numerical analysis of geometric flows and evolving surface partial differential equations (2020–2026, Project ID: 446431602).
○ For the second funding period (2022–2026) I am principal investigator within the DFG Research Training Group 2339 – Interfaces, Complex Structures, and Singular Limits (Project ID: 321821685).
○ For the second funding period (2023–2025) Sören Bartels and I will have a joint project in the DFG Research Group 3013 Vector- and Tensor-Valued Surface PDEs (Project ID: 417223351).
For the summer semester of 2022 I served as a substitute professor at the Technical University of Munich.