Duration of the program: 4 years (8 semesters)

Program description:

The program is aimed at ambitious students who hold a master’s degree in mathematics. The doctoral students will have the opportunity to deepen their knowledge and skills in various fields of mathematics. The program consists of advanced theoretical and practical courses that develop research and analytical skills. The students will have the opportunity to work with experienced and recognized scientists in their fields, allowing them to develop their own research projects. In addition to courses, participation in scientific seminars, conferences, etc., is expected. The program also includes the development of skills in writing scientific articles and presenting research results. As part of the program, lectures by visiting professors in mathematics fields of interest to the doctoral students are planned.

The key topics covered in the study program include: differential geometry, group theory and Lie algebras, symplectic geometry and topology, mathematical physics, nonlinear integrable systems, fuzzy set theory, algebraic topology, commutative and homological algebra, category theory, ergodic theory and topological dynamical systems.

Career opportunities:

Graduates possess knowledge and skills in the field of mathematics and higher education didactics. Graduates will be well-prepared to pursue an academic career and continue their scientific research in domestic and international academic institutions. They will also be prepared to take up professional positions in various sectors of the economy.

Key words:

  • mathematics
  • integrable systems
  • integrable discrete geometry
  • combinatorial Hopfs algebras
  • ergodic theory
  • topological dynamics
  • group theory