Webrelaunch 2020

Research Group Differential Geometry

Our general research interests lie in the realms of global differential geometry, Riemannian geometry, geometric topology, and their applications.

Current topics under investigation include, e.g., questions concerning the geometry and topology of nonnegative and almost nonnegative curvature, singular metric spaces, collapsing and Gromov-Hausdorff convergence, analysis and geometry on Alexandrov spaces, geometric finiteness theorems, moduli spaces of Riemannian metrics, transformation groups, stochastics on Riemannian manifolds, loop spaces and symplectic geometry, medical robotics and mathematical epidemiology.