• Positive scalar curvature
• Spaces of Riemannian metrics
• Topology and Geometry of Manifolds

Preprints

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

arXiv:  2204.11512

DOI:  10.1007/s00209-023-03270-1 

„Sphericity of κ-classes and positive curvature via block bundles“ (Appendix with Jens Reinhold), 2021.

arXiv:  2109.10306

Publications

„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