Publications/ Preprints

8. Resonances and residue operators for pseudo-Riemannian hyperbolic spaces, with Jan Frahm (arXiv:2303.04780v1),

Journal de Mathématiques Pures et Appliquées, 2023, journal

7. On the spectrum of twisted Laplacians and the Teichmüller representation, with Frédéric Naud (arXiv:2205.09540v1), submitted

6. The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion, with Léo Bénard and Jan Frahm (arXiv:2110.06683v1), submitted

5. Twisted Ruelle zeta function at zero for compact hyperbolic surfaces, with J. Frahm (arXiv:2105.13321v1), Journal of Number Theory, 2023 - Elsevier, journal

4. Twisted Ruelle zeta function and complex-valued analytic torsion (arXiv:2004.13474), submitted

3. Functional equations of Selberg and Ruelle zeta functions for non-unitary twists, Annals of Global Analysis and Geometry, (2020), https://doi.org/10.1007/s10455-020-09715-8 (arXiv:1507.05947v3), journal

2. A prime Geodesic Theorem for SL3(Z), with Anton Deitmar and Yasuro Gon, Forum Math. 31, No. 5, 1179--1201 (2019) (arXiv:1711.05361v1), journal

1. Selberg and Ruelle zeta functions for non-unitary twists, Annals of Global Analysis and Geometry, March 2018, Volume 53, Issue 2, pp 151 -- 203 (arXiv:1506.04672v4, arXiv:1507.05932v3), journal

phd thesis

Ruelle and Selberg zeta functions on compact hyperbolic odd dimensional manifolds

This is my PhD thesis written under the supervision of Prof. Dr. Werner Müller.

final_thesis_paperplus.pdf

Adobe Acrobat Document 961.3 KB

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TALKS

“Twisted Ruelle zeta function on locally symmetric spaces, the Fried’s conjecture and further applications",
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19.06.2023, Oberseminar Differentialgeometrie, Westfälische Wilhelms-Universität Münster 
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"Resonances and residue operators for pseudo-Riemannian hyperbolic spaces", 17 March 2023, Séminaire Géométrie, Institut de Mathématiques de Bordeaux
"On the spectrum of twisted Laplacians and the Teichmüller representation", Séminaire Arithmétique et Géométrie Algébrique, 14 March 2023, Université Paris-Saclay
"Twisted Ruelle zeta function on locally symmetric spaces, the Fried’s conjecture", Spectral geometry in the clouds, October 2022, youtube
"Twisted Ruelle zeta function and the Fried’ s conjecture for unit tangent bundles of surfaces", Workshop on Noncommutative Geometry and Geometric Analysis, zoom talk, November 2021, video
"Fried ’s conjecture and dynamical zeta functions of Selberg and Ruelle on locally symmetric spaces", Greek mathematical seminar, zoom talk, October 2021

"This is what I do...", AIM Research Community, Representation Theory & Noncommutative Geometry, zoom talk, October 2021

"Twisted dynamical zeta functions and the Fried conjecture", Séminaire de Mathématique, IHES, January 2021
“A prime geodesic theorem for SL3(Z)", ERLASS seminar, Egham-Reading-London Arithmetic Statistics Seminar, zoom talk, December 2020
“Non-commutative harmonic analysis, spectral theory of automorphic forms and applications", Kolloquium Graduiertenkolleg 2491, Fourier Analysis and Spectral Theory, Georg-August-Universität Göttingen, zoom talk, December 2020
“Non-commutative harmonic analysis, spectral theory of automorphic forms and applications", N^3-days XIII, Nordic Number theory Network, zoom-conference, November 2020
“Non-commutative harmonic analysis, spectral theory of automorphic forms and applications ", Séminaire Théorie des Nombres, Institut de Mathématiques de Bordeaux, zoom talk, November 2020
Dynamical zeta functions, Fried's conjecure and refined analytic torsion, Forum of Young Mathematicians, October 23rd to 25th 2019, Institut Henri Poincaré
Dynamical zeta functions, trace formulae and applications, Séminaire Analyse Harmonique, Département de Mathématiques d’Orsay, May 2019
Dynamical zeta functions, trace formulae and applications, Oberseminar ”Geometrische Analysis und Zahlentheorie”, Paderborn University, April 2019