Research areas:

I. Differential geometry (Finsler manifolds and Minkowski geometry)

  • The theory of generalized Berwald manifolds: generalized conics and the alternatives of the Riemannian geometry
  • Average processes and their applications in Finsler geometry

II. Geometric tomography

  • Generalized conics' theory and its application in geometric tomography: the reconstruction of hv-konvex planar sets by the coordinate X-ray functions, deterministic and stochastic algorithms.                 

III. Linear functional equations


  • The discrete Pompeiu problem
  • The application of spectral analysis in the theory of functional equations: automorphisms and the characteristic polynomial
  • The application of spectral synthesis in the theory of functional equations:derivations and the associated system of linear equations