Research
Research interests
- differential geometry
- geometric analysis
- partial differential equations
- general relativity.
More precisely, I am interested in special geometric structures (Einstein metrics and Ricci solitons), their stability and the structure of their moduli spaces.
Moreover, I am interested in geometric flows (in particular Ricci flow) and nonlinear stability problems in general relativity.
Third-party projects
- Spectral geometry, index theory and geometric flows on singular spaces(with Boris Vertman): Project within the framework of the SPP 2026 Geometry at infinity
- Uniqueness in mean curvature flow(with Oliver Schnürer): Project within the framework of the SPP 2026 Geometry at infinity
- Stability and instability of Einstein manifolds with prescribed asymptotic geometry: Project within the framework of the SPP 2026 Geometry at infinity
- Differential geometry and Supersymmetry: Project within the Graduiertenkolleg 1670 Mathematics inspired by string theory and quantum field theory
- Spokesperson: Christoph Schweigert