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, medical and topological robotics.
Due to current events, it is not possible to reach members of the research group by phone. If you have a concern, please send us an email.
Collaborations
Strategic Partnership Project China
Institute for Anthropomatics and Robotics
Research focus Geometry, Groups and Topology
DFG Research Training Group 2229 Asymptotic Invariants and Limits of Groups and Spaces
DFG Research Priority Program ‘Geometry at Infinity’ (SPP 2026)
Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds
NEWS
Conference on Topology and Differential Geometry
Tsinghua Sanya International Mathematics Forum,
January 18 - 22, 2021
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Spaces of Riemannian Metrics and Positive Scalar Curvature
(Augsburg-Fribourg-Karlsruhe)
Karlsruhe, January 23 - 24, 2020
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DMV Jahrestagung (German Mathematical Society - annual meeting)
Karlsruhe, September 23 - 26, 2019
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