Research

Clifford

  • function spaces of clifford-valued functions
  • clifford wavelets, hermite transform, orthogonal clifford polynomials
  • [generalized] hilbert transform, radon transform
  • clifford distributions, distributional boundary value problems
  • clifford differential forms
  • spin(m) invariant differential operators, complexes of clifford differential operators
  • monogenic functions in several vector variables
  • harmonic analysis
  • super symmetry, super analysis

Numerical Analysis and Mathematical Modelling

  • mathematical modelling in heat and mass transfer
  • scientific computing
  • elliptic and evolution PDEs
  • eigenvalue problems
  • numerical approximation methods

General relativity

  • general relativity
  • quantum gravity