Dr. Ksenia Fedosova

Address

University of Freiburg
Ernst-Zermelo-Str. 1 (previously Eckerstraße 1)
79104 Freiburg im Breisgau
Germany
Phone: +49 (0) 761 203 5572
Email: ksenia.fedosova@math.uni-freiburg.de
Office: Room 326

Research interests

  • Spectral geometry
  • global analysis
  • ergodic theory and dynamical systems
  • analytic number theory

Publications

  1. Whittaker Fourier type solutions to differential equations arising from string theory (joint with Kim Klinger-Logan) ( arXiv 🔗).
  2. Scattering Theory with Unitary Twists (joint with Moritz Doll and Anke Pohl) ( arXiv 🔗)
  3. Fourier expansions of vector-valued automorphic functions with non-unitary twists (joint with Anke Pohl and Julie Rowlett) ( arXiv 🔗)
  4. Counting Resonances on Hyperbolic Surfaces with Unitary Twists (joint with Moritz Doll and Anke Pohl), ( arXiv 🔗)
  5. Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator (with Medet Nursultanov) (arXiv 🔗)
  6. Second variation of Selberg zeta functions and curvature asymptotics (with Julie Rowlett and Genkai Zhang), Ann. Global Anal. Geom., 57(1):23–60 (arXiv 🔗, journal)
  7. Eisenstein series twisted with non-expanding cusp monodromy (with Anke Pohl), Ramanujan J. 51 (2020) , no. 3, 649-670 (arXiv🔗, journal)
  8. Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy (with Anke Pohl), Selecta Math. (N.S.) 26 (2020), no. 1, Paper No. 9, (arXiv 🔗, journal)
  9. Analytic torsion of finite volume hyperbolic orbifolds (arXiv 🔗)
  10. On the asymptotics of the analytic torsion for compact hyperbolic orbifolds (arXiv 🔗 accepted for publication in MRL)
  11. The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds (arXiv 🔗 accepted for publication in Math. Z)

Further links

You can find my github here.

Summer semester 2023

Summer semester 2022

Summer semester 2020

  • Transfer Operators and Modular Forms (please write me an email if you want to participate and register in HISinOne)

Winter semester 2019/2020

Summer semester 2019

Summer semester 2018

Activities