Specialized English-Taught International Semester Program of Master’s Level.
The program aims to introduce students to the fundamentals of the geometry of complex space and its subsets and basic methods of their study. Algebraic geometry and the language of amoebas (and coamoebas) of complex sets combine to produce a powerful tool of contemporary mathematical research in different areas: from PDE and difference equations to algebraic and hypergeometric functions.
- To give students the basic knowledge of geometry of complex analytic sets, different homology theories.
- To make students familiar with the complex analytic approaches in contemporary research in algebraic geometry.
- To provide students with the opportunity to develop academic and research skills.
- 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 complex algebraic geometry, theory of difference equations, basic definitions and statements;
- tell the difference between approaches to homology in 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|
|2nd semester (Spring)||Module ‘Complex Geometry’||Research Project|
- Difference Equations in Several Variables
- Homology Theory
- Topics in Contemporary Algebraic Geometry
- Analytic Sets
- Algorithms of Algebraic Geometry
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 the geometry of complex space: from convergence of multiple power series to the geometry of complements to analytic sets.
|Duration:||18 weeks (30 ECTS)|
|Starting date:||February, 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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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.
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