• Scalar curvature geometry
• Spin geometry
• Topology and geometry of manifolds

 Preprints

Scalar curvature rigidity for products of convex hypersurfaces and even dimensional manifolds (with Georg Frenck and Thomas Schick), 2026.

arXiv:  2607.09472

 Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions, 2026.

arXiv:  2605.00151

 Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds (with Simone Cecchini, Bernhard Hanke and Thomas Schick), 2025.

arXiv:  2505.14054

 Publications

On atoroidal and hyperbolic cohomology classes (with M. Brunnbauer and D. Kotschick), Topology and its Applications, 2024.

 DOI:  10.1016/j.topol.2024.108830