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

SPP 2026 Geometry at Infinity

My project entitled Resonances for non-compact locally symmetric spaces

SPP 2026 homepage

Publications

  1. The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds. Preprint (submitted) (2021). With Mihajlo Cekić, Semyon Dyatlov, and Gabriel Paternain.
    arXiv preprint
  2. Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield). To appear in Ann. Henri Poincaré (2021). With Colin Guillarmou and Charles Hadfield.
    arXiv preprint
  3. Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions. To appear in J. Symplectic Geom. (2021). With Pablo Ramacher.
    arXiv preprint
  4. Pollicott-Ruelle resonant states and Betti numbers. Commun. Math. Phys. 378 (2020), 917–941. With Tobias Weich.
    published article   arXiv preprint
  5. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. Int. Math. Res. Not. IMRN, rnz068 (2019). With Tobias Weich.
    published article   arXiv preprint
  6. On the semiclassical functional calculus for h-dependent functions. Ann. Glob. Anal. Geom. (1) 52 (2017), 57–97.
    published article
  7. Quantum ergodicity and symmetry reduction. J. Funct. Anal. (1) 273 (2017), 41-124. With Pablo Ramacher.
    published article
  8. Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra. Commun. Math. (2) 22 (2014), 141-149.
    published article

Lecture notes

Symplectic geometry and Hamiltonian dynamical systems, Paderborn 2018: Notes (in German)

Slides of selected recent talks

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

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