I am a member of the Spectral analysis group at the University of Paderborn, Germany. Recently I have been working a lot with discrete subgroups of Lie groups such as Anosov subgroups. I am especially interested in the geometry, the dynamical systems and the spectral theory on the associated locally homogeneous spaces, which often possess interesting pseudo-Riemannian structures. In another independent line of research, I study oscillatory integrals in symplectic geometry.
Photo by Petra Lein, from the Oberwolfach Workshop Anosov³ which I co-organized in 2021
I am also an investigator in the Project Spectral theory in higher rank and infinite volume of the CRC TRR Integral Structures in Geometry and Representation Theory.
Upcoming and recent events
- From September 1-5, 2025 I am organizing the conference Lie theory, Spectra and Dynamics at Paderborn University, together with Guendalina Palmirotta and Tobias Weich. For more information, see the conference website.
- On April 1, 2025 I gave a talk at the Geometry at Infinity conference at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany. Topic of the talk: Recent joint with Colin Guillarmou and Daniel Monclair on the spectral theory of 3-dimensional Lorentzian quasi-Fuchsian manifolds. The corresponding preprint will soon be available on arXiv – news update to follow!
- In December 2024 I submitted my habilitation thesis. Defense to take place mid 2025