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, geometric bordism invariants, information and quantum information geometry.

Moreover, in joining forces with the research groups Metric Geometry and Number Theory/Algebraic Geometry, we also focus on topics in Geometric Group Theory.