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 also interested in time discretisations, problems with dynamic boundary conditions, and Maxwell's equations with various boundary conditions.

My research project 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.