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

Research Seminar: Blackboard with Formulas

Research

Learn more about research projects and publications of the group.

Research seminars

Together with other groups, we actively participate in various research seminars, in particular the

Teaching

Our group offers lectures and seminars on topics in analysis, geometry and mathematical physics and supervises theses in these areas.

Selected publications of the group

Higher rank quantum-classical correspondence
J. Hilgert, T. Weich, L.L. Wolf, Analysis&PDE (to appear).

Ruelle-Taylor resonances of Anosov actions
T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, Journal of the EMS (to appear).

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. Guedes Bonthonneau, T. Weich, Journal of the EMS 24 (2022) 851-923.

Team

We value teamwork in our challenging research projects and are always looking for talented individuals to join our team. Take note of the job advertisements!

To the team page

Team

We value teamwork in our challenging research projects and are always looking for talented individuals to join our team. Take note of the job advertisements!

To the team page

Team

We value teamwork in our challenging research projects and are always looking for talented individuals to join our team. Take note of the job advertisements!

To the team page

Team

We value teamwork in our challenging research projects and are always looking for talented individuals to join our team. Take note of the job advertisements!

To the team page
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News

29.01.2024

PhD defenese of Philipp Schütte

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10.11.2023

Lasse Wolf sucessfully defended his PhD thesis

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03.05.2023

New Open Source Package Released

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13.03.2023

SHK/WHB Stellen im SFB/TRR 358

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23.01.2023

Disputation von Christian Arends

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30.11.2022

DFG Bewilligt neuen Sonderforschungsbereich

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11.03.2022

Postdoc successfully publishes in Inventiones mathematicae

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14.02.2022

Conference Spectra and Dynamics on (Locally) Symmetric Spaces, Feb 14-18, 2022

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09.10.2021

Mini Workshop Anosov^3

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22.12.2020

Philipp Schütte erhält Absolventenpreis der Fakultät EIM

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18.09.2020

DFG Priority Programme "Geometry at Infinity"

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15.09.2020

Philipp Schütte erhält Promotionsstipendium der Studientsiftung

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Funded research projects

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Emmy Noether Group

Microlocal methods for hyperbolic dynamics

SFB TRR 358

We are involved with two projects in the joint Collaborative Research Centre "Integer Structures in Geometry and Representation Theory" of the Universities of Bielefeld and Paderborn University.

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PhoQC

We are involved in the research project "PhoQC: Photonic Quantum Computing" funded by the state of NRW.

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SPP

Benjamin Delarue leads the project "Resonances for non-compact locally symmetric space" within the DFG Priority Programme "Geometry at Infinity".