Master's degree program “Complex Analysis”

Mathematical amoebaThe 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

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
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:

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 (120 ECTS)
Starting date: October, 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)
Application deadline: May–June
Tuition fee The price will be announced soon
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: 79 Svobodny pr., room Б1-19, 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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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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