The highest level of training. Graduates of the “Mathematics” Master of Science program are successful in entering PhD schools of leading universities in Russia and around the world. Classes in the Faculty of Mathematics are taught by leading world experts in various fields of modern mathematics.

Individual educational trajectory. Each student is engaged in an individual curriculum approved by the supervisor, which can include any courses from an extensive pool of elective courses offered by the Faculty of Mathematics and its partners, and also, upon confirmation with the leadership of the program, courses taught at other faculties of the Higher School of Economics.

Exceptional opportunities for independent research under individual supervision of prominent scientists of Russia and the world: participation in professional research seminars offered on a permanent basis and international mathematics conferences (co)organized regularly by the Faculty of Mathematics, cooperation with “international laboratories” associated with the Faculty. The most successful students are offered research assistantships in the “laboratories” and research groups associated with the Faculty, supported by various grants.

Integration with the international research agenda. This includes wide opportunities for attending workshops and conferences in selected areas both in Russia and abroad with some financial support (competition based). Opportunity to take part in official student exchange programs with a large number of foreign universities, among which are Ecole Normale, Ecole Polytechnique, universities of Kyoto, Tokyo, Leiden, Luxembourg, Nantes, and many others.

Effective teaching internship, including teaching assistantships in courses offered to university and high school students. Conducting mathematical competitions and circles of the highest level.

The Master of Science program "Mathematics" is aimed at training highly qualified specialists who:

• are able to conduct research and obtain independent scientific results, as well as having an idea of ​​the current state of research in a particular area of ​​modern mathematics or its applications, selected as the main area of ​​specialization

• possess fundamental knowledge of the foundations of a wide range of mathematical disciplines: algebra and number theory, geometry and topology, functional analysis, probability theory and random processes, differential equations, etc.

• are able to teach these disciplines at high school and in freshman-sophomore university classes

• understand applied mathematical methods used in modern Science and Engineering, and are capable of applying such methods in various problems within the chosen specialization.

Successful graduates of the Master's program "Mathematics" will gain admission to graduate schools of leading Russian and foreign universities. Other areas of application of acquired knowledge and skills may be

• research work in universities and research institutes in purely mathematical and applied areas, as well as in other areas of science that widely use modern mathematics (computer science, data science, mathematical physics, bioinformatics, mathematical linguistics, economics, sociology, etc.)

• teaching mathematics

• practical work in companies using modern mathematical methods (IT industry, finance, market analysis, etc.)

Graduates of the “Mathematics” MSc program have the following professional competencies:

• the ability to deeply understand the problem suggest by the advisor and possible approaches to its solution, as well as independently propose ideas and research methods adequate to the task

• the ability to use the most modern mathematical tools and computer technology in scientific work within the chosen specialty

• experience of independent work with research articles and monographs, as well as modern search engines for scientific information and archives of scientific materials

• the ability to present the results of scientific work in the form of oral presentations, as well as in the form of presentations and texts designed in accordance with modern requirements for mathematical publications, which includes the possession of standard computer editing and typesetting tools for texts in Mathematics and Physical sciences.

• a sufficiently broad mathematical background, which makes it possible to make competent professional judgments not only in the field to which the Master’s thesis is devoted, but also in other branches of Mathematics

• the ability to conduct effective professional activities in groups, including international ones, mastery of modern communication tools for collaborative remote work, the ability to solve problems associated with the difference in scientific and professional views

• the ability to perceive, interpret, critically evaluate and process physical sciences data of various levels of rigor and detail, including those containing easily removable errors

• the ability to independently master new working methods, change the scientific profile of their activities and consciously build the path of professional development

• teaching experience, the ability to systematize and conceptually present educational material, the ability to attentively, patiently and impartially listen to solutions to problems and provide methodological assistance for problem-solving to mathematical students.

The compulsory part of the program “Mathematics” includes the course “Mathematical Methods of Science”, the project “The Practice of Presenting Research Results and the Exchange of Scientific Information” and the student research mathematical seminar, consisting of several independent sections specializing in probability theory and statistics, algebraic and differential geometry, representation theory, theory of dynamical systems, ergodic theory, etc. The number of sections and the direction of their activity may vary slightly from year to year in order to better cover modern mathematical research.

The pool of mathematical courses offered by the Faculty for students' choice consists of courses taught at the initiative of the Faculty and courses taught at the initiative of lecturers. The first group includes regularly (at least once every two years) taught courses covering core aspects of mathematics and mathematical physics. They, in turn, are divided into primary and special. The former serve to fill the gaps in fundamental education, to obtain initial ideas in the chosen direction of specialization, as well as to expand the mathematical horizons in areas outside the chosen specialization.

Since the traditions and the level of elementary mathematics education in Russia / the USSR and non-CIS countries are noticeably different, there is a separate line of introductory mathematics courses in English that are designed to compensate for the differences in preparation of Bachelors from other universities who entered the Master's program “Mathematics”. Some courses related to this group can be implemented as projects in order to independently work out certain educational/research materials.

Special topics courses are designed for in-depth professional study of the chosen field. Courses taught at the initiative of instructors comprise at least 20% of the total pool of courses. These courses reflect the most relevant contemporary mathematical research, and their set varies from semester to semester, in accordance with the scientific interests of the faculty members and emerging new scientific achievements. A number of these courses are in fact crash-courses (2-5 weeks long) conducted by invited leading world experts.

This degree programme of HSE University is adapted for students with special educational needs (SEN) and disabilities. Special assistive technology and teaching aids are used for collective and individual learning of students with SEN and disabilities. The specific adaptive features of the programme are listed in each subject's full syllabus and are available to students through the online Learning Management System.

All documents of the degree programme are stored electronically on this website. Curricula, calendar plans, and syllabi are developed and approved electronically in corporate information systems. Their current versions are automatically published on the website of the degree programme. Up-to-date teaching and learning guides, assessment tools, and other relevant documents are stored on the website of the degree programme in accordance with the local regulatory acts of HSE University.

I hereby confirm that the degree programme documents posted on this website are fully up-to-date.

Vice Rector Sergey Yu. Roshchin

Summary of Degree Programme 'Mathematics'