Main research directions on the department are:

- Permutative groups theory,
- Theory of universal algebras and Li algebras,
- Representation theory,
- Rings theory,
- Algebraic combinatorics,
- Groups and semigroups theory.

Main research directions on the department are:

- Permutative groups theory,
- Theory of universal algebras and Li algebras,
- Representation theory,
- Rings theory,
- Algebraic combinatorics,
- Groups and semigroups theory.