Program “Complex Geometry”

Specialized English-Taught International Semester Program of Master’s Level.

The aim

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.

Objectives

  • 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.

Learning outcomes

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.

Career prospects

Research career: the holder of the program certificate can continue studying to earn a MSc in Mathematics degree.

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Prof. August Tsikh

August TSIKHD.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.

Program structure
Semester 20 ECTS credits 10 ECTS credits
2nd semester (Spring) Module ‘Complex Geometry’ Research Project

Key courses

  • 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
Language: English
Entry requirements:
  • BSc degree in Mathematics, Applied Mathematics, Physics, or Computer Science (transcript of records)

  • good command of English (certificate or other document)
  • graduate courses in complex analysis in several variables and functional analysis
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.

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

Facebook: facebook.com/StudySibFU
Skype: StudyatSibFU
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.

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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 2019 Krasnoyarsk will proudly host the XXIX Winter Universiade.

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