Research

My research interests are (amongst other things):

Number theory

• • Modular and automorphic forms of various types, including: Maass forms, Jacobi forms, vector-valued modular forms, Hilbert modular forms (and combinations of the above)

  • Computational number theory

  • Analytic Number Theory

Mathematical Physics

• • Computational spectral theory (for hyperbolic surfaces)

  • Dynamical systems, transfer operators and the thermodynamical formalism

  • Mathematical aspects of (arithmetic) Quantum Chaos 

Current Research Activities and Projects

• Hilbert - Maass forms