Benjamin Küster

Postdoctoral researcher, PI in the SPP 2026 Geometry at Infinity

Member of the Spectral analysis group
in the Institute of Mathematics
at Paderborn University, Germany

Contact details including e-mail address available here

Research interests

Publications

  1. Resonances and weighted zeta functions for obstacle scattering via smooth models. Preprint (2021). With Philipp Schütte and Tobias Weich.
  2. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Preprint (submitted) (2021). With Mihajlo Cekić, Semyon Dyatlov, and Gabriel Paternain.
  3. Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. To appear in J. Symplectic Geom. Preprint (2021). With Pablo Ramacher.
  4. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Ann. Henri Poincaré (2021). With Colin Guillarmou, appendix by Charles Hadfield.
  5. Pollicott-Ruelle resonant states and Betti numbers. Commun. Math. Phys. 378 (2020), 917–941. With Tobias Weich.
  6. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. Int. Math. Res. Not. (11) 2021 (2019), 8225–8296. With Tobias Weich.
  7. On the semiclassical functional calculus for h-dependent functions. Ann. Glob. Anal. Geom. (1) 52 (2017), 57–97.
  8. Quantum ergodicity and symmetry reduction. J. Funct. Anal. (1) 273 (2017), 41-124. With Pablo Ramacher.
  9. 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 recent 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

Collaborators

My favourite conference venues

The top five, ordered by beauty. Pictures taken during conferences or workshops.
  1. Porquerolles, France
    Plage du Langoustier   Georges du Loup   Coastline nearby
  2. MSRI, Berkeley, United States
    Lobby   Sunset behind the Golden Gate   Night view
  3. CIRM, Marseille, France
    Parc national des Calanques   High up on the route to Cassis   Between the rocks
  4. Peyresq, French Alps
    Morning view   Housing   Remains of snow at higher altitude
  5. Roscoff, France