


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; email: chirka@miras.ru Personal page: https://homepage.miras.ru/~chirka
Principal fields of research:
Analytic continuation. Removable singularities. Boundary properties. Complexanalytic sets. Almostcomplex manifolds. Pseudoholomorphic curves. CR–theory. Plurisubharmonic functions. Approximation of functions in several complex variables.


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; email: buslaev@miras.ru Principal fields of research:
Pade approximants. Continued fractions. Recurrent equations.


Komlov Alexander Vladimirovich Candidate Phys.Math. Sci., Senior Scientific Researcher
office: 411; tel.: +7 (495) 984 81 41 * 36 22; email: komlov@miras.ru


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; email: kruzhil@miras.ru Principal fields of research:
Manydimensional complex analysis. CRmanifolds. Holomorphic authomorphisms and mappings.


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; email: stefan@miras.ru Principal fields of research:
Manydimensional complex analysis. Geometrical and topological methods of extension of analytical objects.


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


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


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; email: suetin@miras.ru Principal fields of research:
Theory of rational approximations of analytic functions. Pade approximations. Inverse theorems. General orthogonal polynomials.



Rakhmanov Evguenii Andreevich Doctor Phys.Math. Sci., Professor, OutOfStaff Member
email: 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.



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Seminars

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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 prizewinner of
Demidov Prize (1999); S. Yu. Nemirovskii is a prizewinner 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

