The department was founded in 1938.

**Head of Department:** Professor, D.Sc. in Physics and Mathematics – Valery V. Benyash-Krivets

**Department staff:** 4 Professors, 7 Associate professors, 1 Senior lecturer

### Research area

- combinatorial group theory;
- linear and algebraic groups;
- metric number theory;
- formations of groups and algebraic systems;
- Galois theory;
- quadratic forms;
- geometric representation theory of finite generated groups;
- profinite groups
- Central simple algebras
- Brauer groups of fields
- Severi-Brauer varieties
- The arithmetic of algebraic groups
- Combinatorics of partially ordered sets
- Teaching methods of mathematics in higher school and university
- Mathematical Olympiads

### Specializations

- algebra and number theory;
- mathematical foundation of information security

### Main courses taught

- Group theory;
- Fields theory and Galois theory;
- Number-theoretic foundation of cryptography;
- Algorithms in number theory and cryptography;
- Groebner basis;
- Error-correcting codes;
- Elliptic curves over finite fields and cryptographic transformations;
- Methods of factorizations and discrete logarithms methods;
- Symmetric cryptosystems;
- Group formations theory;
- Hyperelliptic curves over finite fields;
- Representation theory of groups;
- Diophantine approximations and their applications;
- The theory of quadratic forms.