• 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

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Publications

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

arXiv:? 2407.20163

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?"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

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

?DOI:? 10.1007/s00209-023-03270-1?

arXiv:? 2204.11512

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

DOI:? 10.1007/s00209-023-03270-1

arXiv:? 2011.11388

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"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

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"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

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"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

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"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

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"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