Fundamental researches: The main problems of physical and mathematical sciences and engineering.
Applied researches: Informational and communicational technologies. Technologies and methods of mathematical modeling, optimization and system analyses for solving the toughest tasks of national importance.
Numerical methods for solving nonlinear operator equations and problems on the extreme. Supervisor – prof. Mykhailo Bartish.
On the numerical solution of direct and inverse problems by integral equations. Supervisor – prof. Roman Chapko.
Theoretical basics of informatics and cybernetics. Supervisor – prof. Hryhoriy Tsehelyk.