Welcome!
In our young group, we work together on a broad range of analytical problems motivated by mathematical physics, spectral geometry, the theory of dynamical systems or representation theory. Our focus is clearly on fundamental questions of pure mathematics, but we are also interested in exploring how these fundamental insights can contribute to the understanding of complex quantum systems or provide new efficient numerical algorithms.
In a nutshell
Selected publications of the group
Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis&PDE Vol. 16 (2023), No. 10 2241-2265.
Ruelle-Taylor resonances of Anosov actions
Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, T. Weich, J. Eur. Math. Soc. (2024), pp. 1–63
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae 229 (2022) 303-394.
Ruelle-Pollicott resonances for manifolds with hyperbolic cusps
Y. Bonthonneau, T. Weich, J. Eur. Math. Soc. 24 (2022), no. 3, pp. 851–923
