**Department of higher algebra and information security**

**The date of founding** 1938

**Teaching Staff**

4 professors, 9 associate professors, 3 assistant professors

**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;
- the 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;
- Gröbner 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.

**Stuff**