Photo by Petra Lein (Oberwolfach Archives) |
Benjamin Delarue
Name until January 2022: Benjamin Küster
Postdoctoral researcher in mathematics
Member of the Spectral analysis group in the Institute of Mathematics at Paderborn University, Germany
Principal Investigator of the project Resonances for non-compact locally symmetric spaces in the SPP 2026 Geometry at Infinity of the DFG (Deutsche Forschungsgemeinschaft)
Contact details available here
My profiles on Google scholar and ResearchGate
Research interests
- Analysis on locally homogeneous spaces, harmonic analysis
- Anosov representations
- Oscillatory integrals in symplectic geometry and quantization
- Spectral theory of hyperbolic dynamical systems
- Microlocal/semiclassical analysis
- Mathematical physics
Publications
-
Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing (with Daniel Monclair and Andrew Sanders)
arXiv Preprint (2024) -
Quantum resonances and scattering poles of classical rank one locally symmetric spaces (with Joachim Hilgert)
arXiv Preprint (2024) -
Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity (with Maximilian Schmitt and Pablo Ramacher)
arXiv Preprint (2023) -
A Riemann-Roch formula for singular reductions by circle actions (with Louis Ioos and Pablo Ramacher)
arXiv Preprint (2023) -
Resonances and weighted zeta functions for obstacle scattering via smooth models (with Philipp Schütte and Tobias Weich)
Ann. Henri Poincaré 25 (2024), 1607–1656 -
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds (with Mihajlo Cekić, Semyon Dyatlov, and Gabriel Paternain)
Invent. Math. 229 (2022), 303–394 -
Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions (with Pablo Ramacher)
J. Symplectic Geom. 19 (2021), no. 6, 1281–1337 -
Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds (with Colin Guillarmou and Charles Hadfield)
Ann. Henri Poincaré 22 (2021), 3565–3617 -
Pollicott-Ruelle resonant states and Betti numbers (with Tobias Weich)
Commun. Math. Phys. 378 (2020), 917–941 -
Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces (with Tobias Weich)
Int. Math. Res. Not. 2021 (2019), no. 11, 8225–8296 -
On the semiclassical functional calculus for h-dependent functions
Ann. Glob. Anal. Geom. 52 (2017), no. 1, 57–97 -
Quantum ergodicity and symmetry reduction (with Pablo Ramacher)
J. Funct. Anal. 273 (2017), no. 1, 41-124 -
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
Commun. Math. 22 (2014), no. 2, 141-149
Teaching
Geometrie für Lehramtsstudierende (Geometry for students of Education), Paderborn University, 2024
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
Selected talks
Brief introduction to Anosov representations, Study group on Patterson-Sullivan Theory, Paderborn 2024
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds, Online 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
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
- Mihajlo Cekić
- Semyon Dyatlov
- Colin Guillarmou
- Charles Hadfield
- Joachim Hilgert
- Louis Ioos
- Daniel Monclair
- Gabriel Paternain
- Pablo Ramacher
- Andrew Sanders
- Maximilian Schmitt
- Philipp Schütte
- Tobias Weich
Selected memories from conferences and workshops
A documentation of the harsh working conditions of a mathematician- 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