Research
My research lies in the field of global analysis mainly in spectral geometry and harmonic analysis on locally symmetric spaces. I am dealing with hyperbolic locally symmetric manifolds and the spectrum of certain twisted Bochner-Laplace and Dirac type operators. Of my main interests are the dynamical zeta functions of Ruelle and Selberg and how they are related to spectral invariants such as the eta invariant and the analytic torsion.
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.
pre-prints
- Ruelle and Selberg zeta functions for non-unitary twists (can be found here)
- Twisted Dirac operators and dynamical zeta functions (can be found here)
- The functional equations of the Selberg and Ruelle zeta functions for non-unitary twists (can be found here)