Publications
- A Riemann-Roch formula for singular reductions by circle actions. Preprint (2023). With Louis Ioos and Pablo Ramacher.
- Resonances and weighted zeta functions for obstacle scattering via smooth models. Preprint (2022), submitted. With Philipp Schütte and Tobias Weich.
- The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Invent. Math. 229 (2022), 303–394. With Mihajlo Cekić, Semyon Dyatlov, and Gabriel Paternain.
- Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. J. Symplectic Geom. (6) 19 (2021), 1281–1337. With Pablo Ramacher.
- Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Ann. Henri Poincaré 22 (2021), 3565–3617. With Colin Guillarmou, appendix by Charles Hadfield.
- Pollicott-Ruelle resonant states and Betti numbers. Commun. Math. Phys. 378 (2020), 917–941. With Tobias Weich.
- Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. Int. Math. Res. Not. (11) 2021 (2019), 8225–8296. With Tobias Weich.
- On the semiclassical functional calculus for h-dependent functions. Ann. Glob. Anal. Geom. (1) 52 (2017), 57–97.
- Quantum ergodicity and symmetry reduction. J. Funct. Anal. (1) 273 (2017), 41-124. With Pablo Ramacher.
- Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Commun. Math. (2) 22 (2014), 141-149.
Teaching
Analysis für Informatiker (Analysis for computer scientists), Paderborn University, 2021/22
Symplektische Geometrie und Hamiltonsche Dynamik (Symplectic geometry and Hamiltonian dynamics), Paderborn University, 2017/18
SPP 2026 Geometry at Infinity
My project entitled Resonances for non-compact locally symmetric spaces
SPP 2026 homepage
Selected talks
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds, Online Covid Seminar organized by Colin Guillarmou, Nguyen Viet Dang, Frederic Naud, and Gabriel Rivière, January 2021
The frame flow on hyperbolic 3-manifolds, 56th Seminar Sophus Lie, Paderborn, February 2020
Quantum-classical correspondence for resonances on vector bundles, Séminaire Problèmes Spectraux en Physique Mathématique, Institut Henri Poincaré, Paris, January 2019
Seminar notes (in German) on hyperbolic groups and Anosov representations (sessions I, II, III), online seminar on locally symmetric spaces and Anosov representations, Paderborn 2020/21
CV
- Since 2020: PI in the DFG SPP 2026 Geometry at Infinity and postdoctoral researcher, Universität Paderborn, Germany
- 2018-2020: Postdoctoral researcher in the ERC project IPFLOW, CNRS, Université Paris-Saclay, Orsay, France
- Fall 2019: Visiting Researcher Scholar, University of California, Berkeley, United States
- 2017/18: Visiting lecturer, Universität Paderborn, Germany
- 2015-2018: Postdoctoral researcher, Philipps-Universität Marburg, Germany
- 2014-2015: PhD studies and degree, Philipps-Universität Marburg, Germany
- 2012-2013: Qualification Fellow, GRK 1150, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany
- 2011-2012: Master's studies and degree, University of Cambridge, United Kingdom
- 2008-2011: Bachelor's studies and degree, Ruprecht-Karls-Universität Heidelberg, Germany
Collaborators
Selected memories from conferences and workshops
My top five conference venues. All pictures taken during conferences or workshops.
- Porquerolles, France
Plage du Langoustier Georges du Loup Coastline nearby
- MSRI, Berkeley, United States
Lobby Sunset behind the Golden Gate Night view
- CIRM, Marseille, France
Parc national des Calanques High up on the route to Cassis Between the rocks
- Peyresq, French Alps
Morning view Housing Remains of snow at higher altitude
- Oberwolfach, Germany
Black Forest Fresh snow
Photo courtesy of Archives of the Mathematisches Forschungsinstitut Oberwolfach, taken during the Mini-Workshop Anosov3 of which I was an organizer.
