- Algebras and algebraic structures connected with algorithms (researched by Marat M. Arslanov).
- Lie algebras and their presentations (researched by Nikolay A. Koreshkov).
- Special classes of rings and fields (researched by Iskhak I. Sakhajev).
- Local theory of degrees of unsolvabLIity (researched by Marat M. Arslanov).
- The problem of automatic detection (researched by Serge N. Tronin).