Siberian Federal University 
Specialized English-Taught International Semester Program of Master’s Level.
The aim
The program introduces students to integral representations and transforms in several variables, which is a unifying theme of complex analysis that can resurface in any research dealing with complex analytic objects. Specifically, in the program courses there considered their applications to analysis of differential and operator equations in Hilbert spaces as well as to the construction of residue currents.
Objectives
- To give students the basic knowledge of integral representations and transforms in several variables.
- To give students an appreciations of complex analysis and how this subject fits into mathematics.
- To make students familiar with the functional analysis approaches in contemporary research in complex analysis.
- 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 the terminology of operator theory in Hilbert spaces, theory of currents, basic definitions and statements;
- know basics of different cohomology theories on complex manifolds;
- recognize the problems the complex analytic methods may be used to solve;
- prove rigorously mathematical statements and formulate precise mathematical arguments.
Diploma and degree: Program Certificate.
Career prospects
Research career: the holder of the program certificate can continue studying to earn a MSc 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 |
|---|---|---|
| 3rd semester | Module ‘Integral Methods of Complex Analysis’ | Research project |
Key courses
- Cohomology Theory
- Operator Equations in Hilbert Spaces (.pdf)
- Theory of Currents
- Integral Representations and Transforms (.pdf)
- Analytic Index theory (.pdf)
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.
Topics for research project may be chosen from a range of different fields within complex analysis: from operator equations in Hilbert spaces to the study of algebraic and hypergeometric functions.
| Duration: | 18 weeks (30 ECTS) |
|---|---|
| Starting date: | September, 1 |
| Language: | English |
| Entry requirements: |
|
| Application period: | November, 25 |
| Tuition fee (per semester): | 89,000 rubles |
| Accommodation: | On-campus accommodation is available in double and triple-occupancy rooms (€ 20 per month). |
| Practicalities | Airport transfer, invitation letter for a Russian study visa and an optional survival course of Russian as a foreign language 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
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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
