The members of the Institute carry on fundamental investigations in mathematics, mathematical physics, and informatics in the following main directions:

• algebra, theory of numbers, and mathematical logic;
• geometry, topology, and functional analysis;
• calculas, differential equations and mathematical physics;
• probability and mathematical statistics;
• numerical mathematics;
• mathematical modeling and methods of applied mathematics;
• theoretical nuclear physics.

The investigations carried on at the Institute are supported by various domestic and interactive funds.