Research

Mathematical analysis, linear and nonlinear PDEs, mathematical physics, in particular the mathematics of quantum systems. Examples of research topics:

 

  • Nonlinear equations in quantum chemistry
  • Resonances in quantum chemistry
  • Phase space bounds and eigenvalue asymptotics for Schrödinger operators
  • Spectral and scattering properties near thresholds for scalar-valued and matrix-valued Schrödinger operators
  • Spectral and scattering properties of quantum wires
  • Spectral and scattering properties of Schrödinger and Dirac operators with a constant magnetic field