• Hydrodynamical/magnetohydrodynamical research: MHD code development; study of the internal structure of the Sun (model of the fast tachocline), solar dynamo modelling; investigation of the internal structure of compact stars • Dynamical research: NBODY code development for GPU; dynamical study of celestial bodies in the solar system, investigation of resonances (development of the FAIR method); modelling of multiple star systems • Statistical research: study of solar activity variations on long and short time scales