Siberian Federal University 
The aim
The program aims to introduce students to the concepts and methods of complex analysis in several variables, an active area of mathematics that has deep connections with algebraic geometry, mathematical physics, and others. The fundamentals of complex analysis are developed through the systematic study of geometry of complex space and multidimensional integral representations which, in combination with methods of algebraic and tropical geometry, present a powerful tool of contemporary mathematical research in different areas: from PDE and difference equations to algebraic and hypergeometric functions.
Objectives
- To give students an appreciations of complex analysis and how this subject fits into mathematics.
- To ensure students know the fundamentals of complex analysis in several variables.
- To provide students with the opportunity to develop academic and research skills.
- To make students familiar with the connections complex analysis has with other fields of mathematics and physics.
- To enable students to experience of conducting guided research.
Learning outcomes
On completion of this program, it is expected that students will be able to:
- recall complex analysis terminology, basic definitions and statements;
- recognize the problems the complex analytic methods may be used to solve;
- identify the knowledge required for solving a problem;
- select and employ appropriate methods for analyzing problems in complex analysis;
- prove rigorously mathematical statements and formulate precise mathematical arguments.
Diploma and degree: MSc in Mathematics
Career prospects
Career opportunities: with a Master’s degree in Mathematics you can obtain a position in both public and private sector related to analysis of information.
Research career: the Master’s degree holder can continue studying to earn a PhD SibFU degree or Cand. Sc. in Mathematics degree.
Prof. August Tsikh
D.Sc. in Mathematics and Physics, Professor. He worked at the universities of Stockholm, Bordeaux, Berlin, Calabria (Italy), Armidel (Australia), Max Planck Institute in Bonn, Institut Mittag-Leffler in Stockholm.
Research interests: complex analysis, algebraic geometry, tropical geometry, signal processing, mathematical physics.
| Semester | 20 ECTS credits | 10 ECTS credits |
|---|---|---|
| 1st semester | Module ‘Introduction to Complex Geometry’ | Master's thesis |
| 2nd semester | Module ‘Complex Geometry’ | Master's thesis |
| 3rd semester | Module ‘Integral Methods of Complex Analysis’ | Master's thesis |
| 4th semester | Master's thesis | |
Key courses:
- Difference Equations in Several Variables — 2nd semester
- Homology Theory — 2nd semester
- Topics in Contemporary Algebraic Geometry — 2nd semester
- Integral Representations and Transforms (.pdf) — 3rd semester
- Operator Equations in Hilbert Spaces (.pdf) — 3rd semester
The program provides an opportunity to learn from the leading specialists in multidimensional residue theory, integral representations, and difference equations. The research project may be carried out in the laboratory of complex analysis and differential equations led by Prof. Ari Laptev. As a rule, the program is finished with a ready for publication paper.
Topics for research project may be chosen from a range of different fields within complex analysis: from convergence of multiple power series to operator equations in Hilbert spaces, and from the geometry of complements to analytic sets to solving of system of equations.
| Duration | 2 years |
|---|---|
| Starting date | September, 1st |
| Study intensity | Full-time |
| Delivery mode | Blended |
| Type of degree | M.Sc. |
| Credits | 120 ECTS credits |
| Language of instruction | English |
| Academic requirements |
|
| Tuition fee (per year) | 155,000 rubles The cost does not include accommodation and living expenses. The price could change at the time of signing a learning agreement. |
| Application deadline | July 29th |
| Accommodation | On-campus accommodation is available in double and triple-occupancy rooms (€ 20 per month) |
| Practicalities | Airport transfer and invitation letter for a Russian study visa are provided by the University |
More information?
Please contact our Department of International Educational Programs, SibFU
e-mail: study [at] sfu-kras [dot] ru
phone: +7 391 206-39-28
fax: +7 391 206-21-66
address: 82/6 Svobodny pr., room 427, Krasnoyarsk, 660041 Russia
VKontakte: vk.com/international_education_sibfu
Ask a question
The University
Today Siberian Federal University (SibFU) with over 35,000 students enrolled in its programmes is one of the most actively developing universities in Russia. Annually more than 200 visiting professors — leading scientists from UK, Germany, Spain and USA — deliver their lectures at SibFU.
The University is a winner of the Russian Government grants supporting research projects under the guidance of top-level scholars from Russia and all over the world.
The campus of Siberian Federal University is located in a forested area of the city of Krasnoyarsk. Academic buildings and dormitories of the university are surrounded by natural forest lands and easily accessible by the public transport. More information about the University Campus can be found here.
The City of Krasnoyarsk
Krasnoyarsk is the administrative capital of Krasnoyarsky kray — second largest region of Russia. It is a big industrial and educational centre with a population of more than 1 million people, and also an important junction of the Trans-Siberian Railway.
The city is located on the banks of the Yenisey River in the valley formed by the Eastern Sayan Mountains. Nature reserve Stolby ("pillars") has become the city’s visiting card.
Among the famous people born in Krasnoyarsk are artist Vasily Surikov, opera singer Dmitri Hvorostovsky, biathlete Evgeny Ustyugov, skeletonist Alexander Tretyakov and ice-hockey player Alexander Semin.
In March 2019 Krasnoyarsk proudly hosted the
