I am a mathematician working at the University of Münster. More information about me can be found here.
Research Interests
I am interested in Differential Geometry, Differential Topology and Transformation Groups. More specifically I am working on questions related to the following topics:
- positive and non-negative curvature
- (moduli) spaces of Riemannian metrics
- equivariant bordism
- elliptic genera
- torus actions
A more detailed description of my research can be found here.
Recent Preprints
- (with Lee Kennard and Burkhard Wilking) Splitting of torus representations and applications in the Grove symmetry program, arXiv:2106.14723, 2021
Recent Publications
- Witten genera of complete intersections, Bull. Lond. Math. Soc. 58 (2026), no. 2, Paper No. e70295, DOI:10.1112/blms.70295, arXiv:2410.21412
- (with Lee Kennard and Burkhard Wilking) Positive curvature, torus symmetry, and matroids, J. Eur. Math. Soc. (JEMS) (2025), DOI:10.4171/JEMS/1656, arXiv:2212.08152
- (with Anusha M. Krishnan) Positively curved -manifolds with -symmetry, Commun. Contemp. Math. 27 (2025), no. 10, Paper No. 2550018, DOI:10.1142/S021919972550018X, arXiv:2310.12689
- Rigidity of elliptic genera for nonspin manifolds, Algebr. Geom. Topol. 25 (2025), no. 4, 2083-2097, DOI:10.2140/agt.2025.25.2083, arXiv:2212.01059
- On circle actions with exactly three fixed points, J. Fixed Point Theory Appl. 27 (2025), no. 3, Paper No. 79, DOI:10.1007/s11784-025-01230-2, arXiv:2303.15396
- (with Johannes Ebert) On the homotopy type of the space of metrics of positive scalar curvature, J. Eur. Math. Soc. (JEMS) 26 (2024), no. 9, 3327-3363, DOI:10.4171/JEMS/1333, arXiv:2012.00432
A complete list of my publications can be found here.