Advanced Mathematics
Source: https://english.spbu.ru/admission/programms/graduate/advanced-mathematics Parent: https://english.spbu.ru/admission/programms/graduate
01.04.01 In English and Russian
Level of education Master
Type of instruction Full-time
Duration 2 years
With the additional qualification ‘Specialist in Research and Development’
Programme description
- The master's programme ‘Advanced Mathematics (with the additional qualification “Specialist in Research and Development”)’ is designed to provide an opportunity to receive an advanced fundamental mathematical education. Students can choose their majors in a wide range of core branches of mathematics. The programme is flexible and incorporates the latest developments and trends in mathematics
- Training starts with an intensive fundamental course, which summarises the main sections of the "Mathematics" bachelor’s programme that are not included in the standard courses at other universities
- The keystone of the programme is the offered wide system of elective courses and seminars in: Algebra; Algebraic Geometry and Number Theory; Topology and Geometry; Mathematical and Functional Analysis; Differential Equation Theory Analysis and Theory of Dynamical Systems; Mathematical Physics; Probability Theory and Mathematical Statistics; Mathematical Logic and and Combinatorics
- It also offers opportunities to take faculty courses in programming, machine learning, artificial intelligence, and data analysis. Students are actively engaged in research projects and have an opportunity to take part in scientific schools and conferences
Main сourses
Basic courses
- Basic Course on Discrete Mathematics
- Basic Course on Continuous Mathematics
Elective courses
- Efficient Parallel Algorithms
- Riemannian Geometry
- Partitions
- Random Walks and Lévy Processes
- Fundamentals of Analytic Number Theory
- Game Theory
- Discrete Geometry
- Formal Groups
- Spectral Sequences
- Limit Theorems for Stochastic Processes
- Advanced Algorithms
- Metric Geometry and Alexandrov Spaces
Our advantages
- Current course curricula make it possible for students to major in a wide range of areas: Mathematical Analysis and Probability Theory; Theoretical Computer Science, Discrete Mathematics and Mathematical Logic; Algebra and Number Theory; Geometry and Topology; Differential Equations, Dynamical Systems and Mathematical Physics; and Applications of Mathematics
- Combination of Russian mathematical traditions with advanced experience in teaching mathematics and theoretical computer science at top world universities
- Top rank teaching staff: our lecturers are active scientists and experienced teachers
- The programme is implemented in close cooperation with the academic environment of St Petersburg. Students can take part in workshops and research projects in mathematics and theoretical computer science, implemented in various universities and research institutes of St Petersburg. These include the Chebyshev Laboratory and St Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences. They organise regular workshops at which leading researchers from all over the world give invited reports.
- The master’s programme naturally continues our bachelor’s programme 01.03.01 "Mathematics", which attracts the best applicants from all over Russia. However, the curriculum is structured so that students who come from other bachelor’s programmes will be able to acquire the necessary knowledge that was not previously available to them due to the difference in bachelor’s programmes
- The best students are provided with increased scholarships of 25,000 roubles from the Home Towns Foundation (students that take part in research grants can also receive additional finance from these sources)
- Travel support for participation in conferences, summer schools and other scientific events
Teaching staff
- Stanislav Smirnov, Doctor of Physics and Mathematics, Academic Supervisor of the Chebyshev Laboratory, Professor at the University of Geneva, a Fields medallist
- Sergei Kisliakov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, Chief Research Associate at St Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, Member of the Russian Academy of Sciences
- Sergei Ivanov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, Chief Research Associate at St Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, Corresponding Member of the Russian Academy of Sciences
- Yurii Belov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, used to work at the Norwegian University of Science and Technology (Trondheim, Norway), an awardee of the Leonhard Euler prize of the government of St Petersburg
- Yurii Davydov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, former professor at the University of Lille (France)
- Mikhail Lifshits, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, former professor at universities in Lille and Strasbourg (France)
- Alexander Okhotin, Candidate of Physics and Mathematics, PhD in Computer Science (Queen's University, Canada), Professor at the Faculty of Mathematics and Computer Science, former research associate at the University of Turku (Finland)
- Vladimir Peller, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, former professor at Michigan State University (the USA)
- Viktor Petrov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, Leading Research Associate at St Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, an awardee of the Leonhard Euler prize of the government of St Petersburg
- Fedor Petrov, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, Leading Research Associate at St Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, an awardee of the Leonhard Euler prize of the government of St Petersburg
- Sergei Pilyugin, Doctor of Physics and Mathematics, Professor at the Faculty of Mathematics and Computer Science, former Visiting Professor at the Georgia Institute of Technology (the USA) and the University of Alberta (Canada)
Main areas of research
- Mathematical analysis
- Probability theory
- Theoretical computer science
- Discrete mathematics and mathematical logic
- Algebra and number theory
- Geometry and topology
- Differential equations and dynamical systems
- Mathematical physics
- Applications of mathematics
Career opportunities
Professions
Graduates are ready to work as research associates in the field of fundamental and applied mathematics, systems analysts, financial analysts, consulting mathematicians, software developers, and university lecturers.