• Positive scalar curvature
• Surgery methods in differential geometry
• Spaces of Riemannian metrics
• Topology and Geometry of Manifolds

Preprints

"Surgery and total mean curvature", (with Bernhard Hanke and Sven Hirsch), 2026.

arXiv:  2601.10617

Publications

"Positive scalar curvature with point singularities" (with Simone Cecchini and Rudolf Zeidler), accepted for publication in Duke Mathematical Journal, 2025.

arXiv:  2407.20163

 "Characteristic numbers of manifold bundles over spheres and posoitive curvature via block bundles" (Appendix jointly written with Jens Reinhold), 2025.

DOI:  10.1017/fms.2025.10054

arXiv:  2109.10306

 "Spaces of Positive Scalar Curvature metrics on totally nonspin Manifolds with spin boundary", 2022.

 DOI:  10.1007/s00209-023-03270-1 

arXiv:  2204.11512

"Spaces of positive intermediate curvature metrics", (with Jan-Bernhard Kordaß), Geometriae Dedicata, 2021.

DOI:  10.1007/s00209-023-03270-1

arXiv:  2011.11388

"Bundles with Non-multiplicative A-hat-Genus and Spaces of Metrics with Lower Curvature Bounds"(with Jens Reinhold), International Mathematics Research Notices, 2021.

DOI:  10.1093/imrn/rnaa361

arXiv:  2010.04588

"Cohomogeneity One Manifolds and Homogoneous Spaces of Positive Scalar Curvature" (with Fernando Galaz-Garcia and Philipp Reiser), Bulletin of the London Mathematical Society, 2022.

DOI:  10.1112/blms.12557

arXiv:  2009.13142

"H-space structures on spaces of metrics of positive scalar curvature", Transactions of the American mathematical Society, 2021.

DOI:  10.1090/tran/8505

arXiv:  2004.01033

"The action of the mapping class group on metrics of positive scalar curvature", Mathematische Annalen, 2021.

DOI:  10.1007/s00208-021-02235-1

arXiv:   1912.08613

"The Gromov--Lawson—Chernysh surgery theorem" (with Johannes Ebert), Boletín de la Sociedad Matemática Mexicana, 2020.

DOI:  10.1007/s40590-021-00310-w

arXiv:  1807.06311