Specialized English-Taught International Semester Program of Master’s Level.
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.
- 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.
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.
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|
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:||October, 1|
|Application period:||November, 25|
|Tuition fee (per semester):||77,500 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.|
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
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