I am a research mathematician working at the intersection of geometry, topology and analysis with a particular focus on problems involving the scalar curvature of a Riemannian manifold. Recently, my main passions have been to establish aspects of a comparison geometry for lower scalar curvature bounds as well as to study closely related geometric problems in the context of general relativity. Moreover, I am interested in topological properties of spaces of Riemannian metrics with positive scalar curvature.
A broad overview of my general research area can be found in the volumes Perspectives in Scalar Curvature edited by Misha Gromov and Blaine Lawson.
I am currently based at the Mathematical Institute of the University of Münster, where I am an investigator in the Cluster of Excellence Mathematics Münster and a member of the CRC 1442 Geometry: Deformations and Rigidity. I am also a project leader in a subproject of the DFG priority programme Geometry at Infinity.
My current PhD student is Thomas Tony. If you are looking for a Master’s thesis supervisor, please feel free to contact me to discuss possible topics!
I obtained my doctoral degree in 2016 from the University of Göttingen, where I was a student of Thomas Schick. Before that I studied at the University of Vienna and wrote my Master thesis under the supervision of Goulnara Arzhantseva.