**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.
- The application of spectral synthesis in the theory of functional equations.

**Profiles:**