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8 Gubkina St. Moscow,
119991, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi-ras.ru
E-mail: steklov@mi-ras.ru

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Department of Complex Analysis

| Seminars | History of the Department | Research Fields and Main Results | Awards | International Activity | Publications |
Staff
Chirka Evgenii Mikhailovich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Department Head, Head of Department, Chief Scientific Researcher
office: 437; tel.: +7 (499) 941 01 74, +7 (495) 984 81 41 * 39 76; e-mail: chirka@mi-ras.ru
Personal page: https://homepage.mi-ras.ru/~chirka
Principal fields of research: Analytic continuation. Removable singularities. Boundary properties. Complex-analytic sets. Almost-complex manifolds. Pseudoholomorphic curves. CR–theory. Plurisubharmonic functions. Approximation of functions in several complex variables.
Chirka Evgenii Mikhailovich
Buslaev Viktor Ivanovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 437; tel.: +7 (499) 941 01 74, +7 (495) 984 81 41 * 36 91; e-mail: buslaev@mi-ras.ru
Principal fields of research: Pade approximants. Continued fractions. Recurrent equations.
Buslaev Viktor Ivanovich
Komlov Alexander Vladimirovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 411; tel.: +7 (495) 984 81 41 * 36 22; e-mail: komlov@mi-ras.ru
Komlov  Alexander Vladimirovich
Kruzhilin Nikolai Georgievich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 426, 908; tel.: +7 (495) 984 81 45, +7 (495) 984 81 41 * 36 03, +7 (495) 984 81 41 * 37 42; e-mail: kruzhil@mi-ras.ru
Principal fields of research: Many-dimensional complex analysis. CR-manifolds. Holomorphic authomorphisms and mappings.
Kruzhilin Nikolai Georgievich
Nemirovski Stefan Yurievich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Chief Scientific Researcher, Director of the Scientific and Educational Centre
office: 427; tel.: +7 (495) 984 81 41 * 37 41; e-mail: stefan@mi-ras.ru
Principal fields of research: Many-dimensional complex analysis. Geometrical and topological methods of extension of analytical objects.
Nemirovski Stefan Yurievich
Orevkov Stepan Yurievich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 427; tel.: +7 (495) 984 81 41 * 37 41; e-mail: stepan.orevkov@math.univ-toulouse.fr
Principal fields of research: Topology of plane real algebraical curves and surfaces. Braid theory.
Orevkov Stepan Yurievich
Sergeev Armen Glebovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 432; tel.: +7 (495) 984 81 41 * 37 79; e-mail: sergeev@mi-ras.ru
Personal page: https://homepage.mi-ras.ru/~sergeev/
Principal fields of research: Pseudoconvex polyhedra. Invariant domains of holomorphy. Geometric quantization. Twistor quantization. Seiberg-Witten equations. Pseudoholomorphic curves. Vortex equations.
Sergeev Armen Glebovich
Suetin Sergei Pavlovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 426; tel.: +7 (495) 984 81 45, +7 (495) 984 81 41 * 37 42; e-mail: suetin@mi-ras.ru
Principal fields of research: Theory of rational approximations of analytic functions. Pade approximations. Inverse theorems. General orthogonal polynomials.
Suetin Sergei Pavlovich

Rakhmanov Evguenii Andreevich

Doctor Phys.-Math. Sci., Professor, Out-Of-Staff Member
e-mail: rakhmano@mail.usf.edu
Principal fields of research: Complex analysis. Theory of approximations of analytical functions. Padé approximations and their generalizations. Orthogonal polynomials. Potential theory. Equilibrium distribution.

Gonchar Andrei Aleksandrovich (21.11.1931 – 10.10.2012)

Doctor Phys.-Math. Sci., Professor, Academician of RAS

Principal fields of research: Complex analysis. Theory of approximations of analytical functions. Pade approximations and their generalizations. Orthogonal polynomials. Potential theory.
Gonchar Andrei Aleksandrovich (21.11.1931 – 10.10.2012)
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Seminars
Seminar on Complex Analysis (Gonchar Seminar)
Steklov Mathematical Institute, Room 411 (8 Gubkina)
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
Moscow State University, Room 1304
Complex analysis and mathematical physics
Seminar organizers: A. G. Sergeev; A. V. Domrin
Steklov Mathematical Institute, Room 530 (8 Gubkina)
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History of the Department

The Department of Complex Analysis (known as The Department of theory of functions of complex variable until 2002) was organized in 1964. The first Head of the Department was S. N. Mergelyan, and first members of the Department were A. G. Vitushkin, A. A. Gonchar, and A. F. Leont'ev. From 1972 to 2002, the Head of the Department was A. A. Gonchar.

2002, Corresponding Member of RAS E. M. Chirka has headed the Department.

The traditional research area in the Department is the theory of approximation in a complex domain. For first years of activity, works of members of the Department gave further elaborating to classical results of M. V. Keldysh, M. A. Lavrent'ev, and S. N. Mergelyan. The study of qualitative questions of the possibility of uniform approximation by rational functions on compacts in the complex plane was completed with the fundamental Vitushkin theorem. There are widely known the works of A. F. Leont'ev devoted to exponent polynomials and Dirichlet series, and the results of A. A. Gonchar on the best approximations of analytic functions by rational functions.

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Research Fields and Main Results

Since the beginning of the 1970s, the main efforts of A. A. Gonchar and his followers are concentrated on the development of constructive methods of rational approximations of analytic functions, their theoretical foundation and applications. Results obtained by members of the Department cover a wide range of problems connected with theory of convergence of Padé approximations and more general interpolations processes, problems of evaluating asymptotics in theory of orthogonal polynomials, classical problems on a speed of rational approximations of analytical functions, and other problems of complex analysis (A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, and V. I. Buslaev).

Among important results obtained at the Department are results on the theory of real manifolds in a complex space, on the theory of analytical sets, and on boundary properties of holomorphic functions of several complex variables (A. G. Vitushkin, E. M. Chirka, N. G. Kruzhilin, S. Yu. Orevkov, and S. Yu. Nemirovskii).

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Awards

In different years, the contributions of S. N. Mergelyan (1952), A. G. Vitushkin (1967), A. F. Leont'ev (1989) and A. A. Gochar (1999) were awarded State Prizes; A. A. Gonchar is a prize-winner of Demidov Prize (1999); S. Yu. Nemirovskii is a prize-winner of the European Mathematical Society Prize for Young Scientists (2000).

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International Activity

A large number of the invited speakers on International Mathematical Congresses consist of the members of the Department:

A. G. Vitushkin (Moscow, 1966; Vancouver, 1974)
A. A. Gonchar (Moscow, 1966; Berkeley, 1986)
S. N. Mergelyan (Nice, 1970)
N. G. Kruzhilin (Berkeley, 1986)
S. Yu. Nemirovskii (Barcelone, 2000)

List of publications
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