**Level of education**: Aspirantura programme

**Type of instruction** : Full-time

**Duration**: 4 years

**Language of instruction: **Russian

**Main academic courses**

- Selected Chapters of Functional Analysis
- Differential Equations. Supplementary Chapters
- Homotopic and Algebraic Topology
- Riemannian, Differential and Metric Geometry
- Group Theory
- Galois Theory
- Approximate Methods of Solving Mathematical Physics Problems. Part 1
- Modern Methods of Probability Theory and Mathematical Statistics. Part 1
- Methods and Problems of Statistical Modelling. Part 1
- Parallel Algorithms and Programming. Part 1
- Rings and Modules
- Dynamical Systems. Part 1
- Limit Theorems of Probability Theory
- Asymptotic Methods of Probability Theory
- Homological Algebra
- Supplementary Chapters of Applied Statistics. Part 1
- Problems of Mathematical Modelling. Part 1
- Supplementary Chapters of Complex Analysis
- Partial Differential Equations and Related Problems. Part 2
- Theory of Motion Stability
- Modern Methods of Probability Theory and Mathematical Statistics. Part 2
- Algebraic Geometry
- Algebraic Topology
- Approximate Methods of Solving Mathematical Physics Problems. Part 2
- Mathematical Cybernetics
- Qualitative Theory of Dynamical Systems. Part 2
- Decision Making Problems
- Methods and Problems of Statistical Modelling. Part 2
- Parallel Algorithms and Programming. Part 2
- Stochastic Programming. Part 2
- Real, Complex and Functional Analysis
- Geometry and Topology
- Differential Equations, Dynamical Systems and Optimal Control
- Mathematical Logic, Algebra and Number Theory
- Probability Theory and Mathematical Statistics
- Computational Mathematics
- Discrete Mathematics and Mathematical Cybernetics
- Mathematical Modelling, Numerical Methods and Programme Complexes
- Issues of Modern Calculus of Variations. Part 2
- Issues of Modern Spectral Theory of Operators. Part 2
- Dynamical Systems. Part 2
- Issues of Modern Theory of Random Processes
- Asymptotic Methods of Mathematical Statistics
- Algebraic K-Theory
- Number Theory
- Supplementary Chapters of Applied Statistics. Part 2
- Problems of Mathematical Modelling. Part 2

**Resource opportunities for research**

- 6.9 million printed books and digital subscription in the M. Gorky Scientific Library of St Petersburg University
- The Resource Centres of St Petersburg University

**Our advantages**

- The programme is designed to train highly qualified experts in the field of mathematics. Its successful mastering: ensures the graduate's professional competencies in the chosen field; makes it possible for them to work successfully in their chosen field of activity; and contributes to a successful academic career and to their being highly in demand in the labour market.
- While preparing for research activities, doctoral students acquire the skills of independent research that are developed from: the ability to study the literature on the problem including literature in foreign languages; the generation of a mathematical model of the problem; the development of analytical and computer methods for its solution; and a discussion of the results obtained. Doctoral students are taught to: report the results obtained first at seminars among their colleagues, and then at Russian and international scientific conferences, including those in English; and to write articles in Russian and English. While preparing for teaching at higher education institutions, doctoral students are taught to: deliver lectures; conduct practical and laboratory classes; supervise seminars; and communicate properly with students.