Research interest:

  • Harmonic analysis on non-compact symmetric spaces $G/K$
  • Analysis on invariant differential operators
  • Solvability of (systems of) linear partial differential equations
  • Fourier transforms and Paley-Wiener-(Schwartz) theorems for sections of (in)homogeneous vector bundles on $G/K$
  • Quantum chaos in billiards (Patterson-Sullivan distributions and quantum ergodicity)
  • Numerical analysis
  • Applications to physics, in particular astrophysics