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
Investigator in the Project Spectral theory in higher rank and infinite volume of the CRC TRR Integral Structures in Geometry and Representation Theory
Contact details available here. 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
-
Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces (with Guendalina Palmirotta)
arXiv Preprint (2024) -
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
Fraktale und nicht-ganzzahlige Dimensionen (Proseminar) (Fractals and non-integer dimensions, seminar), Paderborn University, 2024
Riemannsche Geometrie (Riemannian Geometry), Paderborn University, 2024
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 2024: Investigator in the CRC TRR Integral Structures in Geometry and Representation Theory and postdoctoral researcher, Universität Paderborn, Germany
- 2020-2024: 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
- Guendalina Palmirotta
- 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