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    Address
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. CRtheory. 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: orevkov@mi-ras.ru
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)
Top
Seminars
Seminar on Complex Analysis (Gonchar Seminar)
Steklov Mathematical Institute, Room 411 (8 Gubkina)
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
Steklov Mathematical Institute, Room 303
Complex analysis and mathematical physics
Seminar organizers: A. G. Sergeev; A. V. Domrin
Steklov Mathematical Institute, Room 430 (8 Gubkina)
Top
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).

Top
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)

Recent publications

Steklov Mathematical Institute staff Steklov Mathematical Institute staff and out-of-staff employees
| by years | scientific publications | by types |



   2021
1. V. I. Buslaev, “On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions”, Izv. Math., 85:3 (2021), 351–366  mathnet  crossref  crossref  isi  scopus
2. N. R. Ikonomov, S. P. Suetin, Mat. Sb.  mathnet  crossref

   2021
3. S. P. Suetin, “Interpolation properties of Hermite–Padé polynomials”, Russian Math. Surveys, 76:3 (2021), 543–545  mathnet  crossref  crossref  isi  scopus
4. Evguenii A. Rakhmanov, Sergey P. Suetin, Tschebyshev–Padè approximations for multivalued functions, 2021 , 20 pp., arXiv: 2106.01047
5. N. R. Ikonomov, S. P. Suetin, Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces, 2021 , 25 pp., arXiv: 2103.04703
6. S. P. Suetin, “Two Examples Related to Properties of Discrete Measures”, Math. Notes, 110:4 (2021), 578–582  mathnet  crossref  crossref
7. Sergey P. Suetin, A direct proof of Stahl`s theorem for a generic class of algebraic functions, 2021 , 8 pp., arXiv: 2108.00339
8. Sergey P. Suetin, Maximum Principle and Asymptotic Properties of Hermite–Padè Polynomials, 2021 , 13 pp., arXiv: 2109.10144
9. Stefan Nemirovski, “Instability of rational and polynomial convexity”, Proc. Amer. Math. Soc., 149:9 (2021), 3795–3800 , arXiv: 1911.09527  mathnet  crossref  isi  scopus;
10. N. G. Kruzhilin, S. Yu. Orevkov, “Plane algebraic curves in fancy balls”, Izv. Math., 85:3 (2021), 407–420  mathnet  crossref  crossref  isi  scopus
11. S. Yu. Orevkov, “Multivariate Signatures of Iterated Torus Links”, Funct. Anal. Appl., 55:1 (2021), 59–74  mathnet  crossref  crossref  isi  scopus
12. Grigory Mikhalkin, Stepan Orevkov, “Rigid isotopy of maximally writhed links”, Algebr. Geom., 8:3 (2021), 268–285  mathnet  crossref  isi  scopus;
13. S. Yu. Orevkov, “Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves”, Geom. Funct. Anal., 31 (2021), 930–947  mathnet  crossref  isi  scopus;
14. A. G. Sergeev, “On mathematical problems in the theory of topological insulators”, Theoret. and Math. Phys., 208:2 (2021), 1144–1155  mathnet  crossref  crossref  isi  scopus
15. N. G. Kruzhilin, “Proper holomorphic maps of bounded two-dimensional Reinhardt domains. I”, Izv. Math., 85:3 (2021), 388–406  mathnet  crossref  crossref  isi  scopus
16. A. V. Komlov, “Polynomial Hermite–Pad m-system for meromorphic functions on a compact Riemann surface”, Mat. Sb. (to appear)  mathnet

   2020
17. V. I. Buslaev, “Convergence of a Limit Periodic Schur Continued Fraction”, Math. Notes, 107:5 (2020), 671–682  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 1)
18. V. I. Buslaev, “Necessary and sufficient conditions for extending a function to a Schur function”, Sb. Math., 211:12 (2020), 1660–1703  mathnet  crossref  crossref  mathscinet  isi  scopus
19. V. I. Buslaev, “Schur's Criterion for Formal Newton Series”, Math. Notes, 108:6 (2020), 884–888  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
20. N. R. Ikonomov, S. P. Suetin, “Scalar Equilibrium Problem and the Limit Distribution of Zeros of Hermite–Padé Polynomials of Type II”, Proc. Steklov Inst. Math., 309 (2020), 159–182  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
21. S. P. Suetin, “Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions”, Russian Math. Surveys, 75:4 (2020), 788–790  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus
22. Analiz i matematicheskaya fizika, Sbornik statei. K 70-letiyu so dnya rozhdeniya professora Armena Glebovicha Sergeeva, Trudy MIAN, 311, ed. S. Yu. Nemirovskii, A. V. Komlov, MIAN, M., 2020 , 281 pp.  mathnet
23. Vladimir Chernov, Stefan Nemirovski, “Interval topology in contact geometry”, Commun. Contemp. Math., 22:05 (2020), 1950042 , 19 pp., arXiv: arXiv:1810.01642  mathnet  crossref  isi  scopus
24. S. Fiedler-Le Touzé, S. Orevkov, E. Shustin, “Corrigendum to "A flexible affine $M$-sextic which is algebraically unrealizable"”, J. Algebraic Geom., 29:1 (2020), 109–121  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
25. S. Yu. Orevkov, “Quasipositive links and connected sums”, Funct. Anal. Appl., 54:1 (2020), 64–67  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
26. V. I. Zvonilov, S. Yu. Orevkov, “A cell structure of the space of branched coverings of the two-dimensional sphere”, Algebra i Analiz, 32:5 (2020), 86–113  mathnet  mathscinet
27. S. Yu. Orevkov, “On Alternating Quasipositive Links”, Dokl. Math., 102:2 (2020), 403–405  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
28. A. G. Sergeev, “Adiabatic limit in Ginzburg–Landau and Seiberg–Witten equations”, Theoret. and Math. Phys., 203:1 (2020), 561–568  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
29. A. G. Sergeev, “In search of infinite-dimensional Kähler geometry”, Russian Math. Surveys, 75:2 (2020), 321–367  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 2)
30. Armen Sergeev, “Universal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds”, Handbook of Teichmüller Theory, v. 7, IRMA Lect. Math. Theor. Phys., 30, European Math. Society, Berlin, 2020, 195–213  mathnet  crossref;
31. A. G. Sergeev, “Quantization of the theory of half-differentiable strings”, Theoret. and Math. Phys., 203:2 (2020), 621–630  mathnet  crossref  crossref  isi  elib  scopus
32. A. G. Sergeev, “Complex geometry of universal Teichmüller space”, Discontin. Nonlinearity Complex., 9:4 (2020), 559–565  mathnet  crossref  scopus;
33. A. Sergeev, “Harmonic Spheres Conjecture and Adiabatic Limit in Yang–Mills Equations”, Advances in Physics and Astronomy: An International Journal, 1:1 (2020), 1–13  mathnet  mathscinet;
34. A. G. Sergeev, “Applications of noncommutative geometry in function theory and mathematical physics”, Trans. Moscow Math. Soc., 81:2 (2020), 123–167  mathnet  crossref  scopus (cited: 1)
35. E. M. Chirka, “Capacities on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 311 (2020), 36–77  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
36. N. G. Kruzhilin, “Holomorphic Maps of Levi-Degenerate Tube Hypersurfaces in $\mathbb C^3$”, Proc. Steklov Inst. Math., 311 (2020), 171–179  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2019
37. V. I. Buslaev, “Schur's criterion for formal power series”, Sb. Math., 210:11 (2019), 1563–1580  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus (cited: 3)
38. S. P. Suetin, “Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions”, Russian Math. Surveys, 74:2 (2019), 363–365  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
39. Sergey P. Suetin, On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system, 2019 , 17 pp., arXiv: 1906.04626
40. S. P. Suetin, “Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System”, Math. Notes, 106:6 (2019), 971–980  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 2)

   2020
41. S. Yu. Orevkov, “Separating semigroup of hyperelliptic curves and of genus 3 curves”, St. Petersburg Math. J., 31:1 (2020), 81–84  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2019
42. Grigory Mikhalkin, Stepan Orevkov, “Maximally writhed real algebraic links”, Invent. Math., 216:1 (2019), 125–152  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
43. S. Yu. Orevkov, “Products of conjugacy classes in $\mathrm{SL}_2(\mathbb{R})$”, Trans. Moscow Math. Soc., 80 (2019), 73–81  mathnet  crossref  mathscinet  elib  scopus
44. Grigory Mikhalkin, Stepan Orevkov, “On Osculating Framing of Real Algebraic Links”, Arnold Math. J., 5 (2019), 393–399  mathnet  crossref  mathscinet  scopus;
45. A. G. Sergeev, “Quantum Calculus and Ideals in the Algebra of Compact Operators”, Proc. Steklov Inst. Math., 306 (2019), 212–219  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
46. A. G. Sergeev, “Quantization of Mathematical Theory of Non-Smooth Strings”, Geometric Methods in Physics (XXXVI Workshop, 2017), Trends Math., 2019, 119–129  mathnet  crossref  mathscinet  zmath  scopus
47. G. Barsegian, A. Sergeev, A. Montes-Rodrigues, “A new sharp inequality for arbitrary complex polynomials related to Gamma-lines”, Complex Var. Elliptic Equ., 64:3 (2019), 443–446  mathnet  crossref  mathscinet  zmath  isi  scopus
48. A. G. Sergeev, A. B. Sukhov, “Dirichlet problem for the Yang–Mills equations”, Russian Math. Surveys, 74:5 (2019), 947–949  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
49. Armen G. Sergeev, “Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 449–454  mathnet  crossref  mathscinet  isi  scopus
50. A. G. Sergeev, “On Kähler Geometry of Infinite-dimensional Complex Manifolds $\mathrm{Diff}_+(S^1)/S^1$ and $\mathrm{Diff}_+(S^1)/\mathrm{Mob}(S^1)$”, Lobachevskii J. Math., 40:9 (2019), 1410–1416  mathnet  crossref  mathscinet  zmath  isi  scopus
51. A. G. Sergeev, “Quantization of the Sobolev Space of Half-Differentiable Functions, II”, Russ. J. Math. Phys., 26:3 (2019), 401–405  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)
52. A. G. Sergeev, “Twistor Geometry and Gauge Fields”, Geometric Methods in Physics (XXXVII Workshop, 2018), Trends Math., 2019, 240–245  mathnet  crossref  mathscinet  scopus
53. A. G. Sergeev, Kh. A. Khachatryan, “On the solvability of a class of nonlinear integral equations in the problem of a spread of an epidemic”, Trans. Moscow Math. Soc., 80 (2019), 95–111  mathnet  crossref  mathscinet  elib  scopus (cited: 3)
54. A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Trans. Moscow Math. Soc., 80 (2019), 113–122  mathnet  crossref  elib  scopus
55. A. G. Sergeev, “Kompyuternaya tomografiya”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 20 https://book.etudes.ru/toc/tomography/
56. E. M. Chirka, “Meromorphic Interpolation on a Compact Riemann Surface”, Math. Notes, 106:1 (2019), 156–159  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
57. E. M. Chirka, “Equilibrium Measures on a Compact Riemann Surface”, Proc. Steklov Inst. Math., 306 (2019), 296–334  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 3)
58. N. G. Kruzhilin, “On a local holomorphic version of the fundamental theorem of projective geometry”, Russian Math. Surveys, 74:6 (2019), 1123–1125  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 1)

   2018
59. V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 4)
60. V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 5)
61. A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
62. S. P. Suetin, “On a New Approach to the Problem of Distribution of Zeros of Hermite–Padé Polynomials for a Nikishin System”, Proc. Steklov Inst. Math., 301 (2018), 245–261  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib  elib  scopus (cited: 2)
63. S. P. Suetin, “Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system”, Russian Math. Surveys, 73:2 (2018), 363–365  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 4)
64. Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Trudy MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK Nauka/Interperiodika, M., 2018 , 335 pp.  mathnet
65. Sergey P. Suetin, Hermite–Padé polynomials and analytic continuation: new approach and some results, 2018 , 45 pp., arXiv: 1806.08735
66. A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
67. S. P. Suetin, “On an Example of the Nikishin System”, Math. Notes, 104:6 (2018), 905–914  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 4)
68. V. Chernov, S. Nemirovski, “Redshift and contact forms”, J. Geom. Phys., 123 (2018), 379–384 , arXiv: 1709.01741  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)
69. Stefan Nemirovski, Rasul Gazimovich Shafikov, “Uniformization and Steinness”, Canad. Math. Bull., 61 (2018), 637–639 , arXiv: 1705.05113  mathnet  crossref  mathscinet  isi  scopus
70. S. Yu. Orevkov, “Irreducibility of lemniscates”, Russian Math. Surveys, 73:3 (2018), 543–545  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
71. G. B. Mikhalkin, S. Yu. Orevkov, “Topology of maximally writhed real algebraic knots”, Dokl. Math., 97:1 (2018), 28–31  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus
72. S. Yu. Orevkov, “On the Hyberbolicity Locus of a Real Curve”, Funct. Anal. Appl., 52:2 (2018), 151–153  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
73. Patrick M. Gilmer, Stepan Yu. Orevkov, “Signatures of real algebraic curves via plumbing diagrams”, J. Knot. Theor. Ramif., 27:3 (2018), 1840003 , 33 pp.  mathnet  crossref  mathscinet  mathscinet  isi (cited: 1)  scopus (cited: 1)
74. L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Russian Math. Surveys, 73:1 (2018), 181–185  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
75. A. G. Sergeev, Twistor Geometry and Gauge Fields, 2018  mathscinet  hlocal  hlocal
76. A. G. Sergeev, “Twistor Geometry and Gauge Fields”, Trans. Moscow Math. Soc., 2018, 135–175  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 3)
77. Armen Sergeev, “Mathematical Tomography”, Biostat. Biometrics Open Acc. J., 6:5 (2018), 555697 , 4 pp.  mathnet  crossref  mathscinet
78. E. M. Chirka, “Orthogonal complex structures in $\mathbb{R}^4$”, Russian Math. Surveys, 73:1 (2018), 91–159  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
79. E. M. Chirka, “Potentials on a compact Riemann surface”, Proc. Steklov Inst. Math., 301 (2018), 272–303  mathnet  crossref  crossref  mathscinet  mathscinet  isi (cited: 6)  elib  elib  scopus (cited: 5)

   2017
80. V. I. Buslaev, “On the Van Vleck Theorem for Limit-Periodic Continued Fractions of General Form”, Proc. Steklov Inst. Math., 298 (2017), 68–93  mathnet  crossref  crossref  mathscinet  isi  elib  scopus (cited: 1)
81. S. P. Suetin, “On the distribution of the zeros of the Hermite–Padé polynomials for a quadruple of functions”, Russian Math. Surveys, 72:2 (2017), 375–377  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 7)  elib  elib  scopus (cited: 2)
82. S. P. Suetin, “An Analog of Pólya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points”, Math. Notes, 101:5 (2017), 888–898  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus (cited: 3)
83. A. V. Komlov, R. V. Palvelev, S. P. Suetin, E. M. Chirka, “Hermite–Padé approximants for meromorphic functions on a compact Riemann surface”, Russian Math. Surveys, 72:4 (2017), 671–706  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 13)  elib  scopus (cited: 5)
84. V. I. Zvonilov, S. Yu. Orevkov, “Compactification of the Space of Branched Coverings of the Two-Dimensional Sphere”, Proc. Steklov Inst. Math., 298 (2017), 118–128  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus
85. Yu. Orevkov, “Automorphism group of the commutator subgroup of the braid group”, Annales de la Faculté des Sciences de Toulouse. Mathématiques, Sér. 6, 26:5 (2017), 1137–1161  mathnet  crossref  crossref  mathscinet  zmath
86. Stepan Yu. Orevkov, “Remark on Tono's theorem about cuspidal curves”, Math. Nachr., 290:17 (2017), 2992–2994  mathnet  crossref  mathscinet  isi (cited: 1)
87. Analiticheskaya i kombinatornaya teoriya chisel, Sbornik statei. K 125-letiyu so dnya rozhdeniya akademika Ivana Matveevicha Vinogradova, Trudy MIAN, 296, ed. V. V. Kozlov, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2017 , 279 pp.  mathnet
88. Poryadok i khaos v dinamicheskikh sistemakh, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Dmitriya Viktorovicha Anosova, Trudy MIAN, 297, ed. Yu. S. Ilyashenko, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2017 , 343 pp.  mathnet
89. Kompleksnyi analiz i ego prilozheniya, Sbornik statei. K 100-letiyu so dnya rozhdeniya Borisa Vladimirovicha Shabata, 85-letiyu so dnya rozhdeniya Anatoliya Georgievicha Vitushkina i 85-letiyu so dnya rozhdeniya Andreya Aleksandrovicha Gonchara, Trudy MIAN, 298, ed. E. M. Chirka, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2017 , 367 pp.  mathnet
90. A. G. Sergeev, “Spin Geometry of Dirac and Noncommutative Geometry of Connes”, Proc. Steklov Inst. Math., 298 (2017), 256–293  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 2)
91. Analiticheskaya teoriya chisel, Sbornik statei. K 80-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Trudy MIAN, 299, ed. M. A. Korolev, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2017 , 303 pp.  mathnet

   2019
92. A. G. Sergeev, “Noncommutative Geometry and Analysis”, Journal of Mathematical Sciences, 236:6 (2019), 641662  mathnet  crossref  mathscinet  zmath  scopus

   2017
93. Sergeev Armen, “Seiberg-Witten theory as a complex version of Abelian Higgs model”, Sci. China, Math., 60:6 (2017), 1089–1100  mathnet  crossref  mathscinet  isi  elib  scopus
94. A. G. Sergeev, “String theory and quasiconformal maps”, Lobachevskii J. Math., 38:2 (2017), 352–363  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
95. A. Sergeev, “Adiabatic limit in Abelian Higgs model with application to Seiberg–Witten equations”, Phys. Part. Nucl. Lett., 14:2 (2017), 341–346  mathnet  crossref  isi  elib  scopus
96. E. M. Chirka, “On removable singularities of complex analytic sets”, Sb. Math., 208:7 (2017), 1073–1086  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 2)

   2016
97. Viktor I. Buslaev, Sergey P. Suetin, “On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions”, J. Approx. Theory, 206 (2016), 48–67 , arXiv: 1505.06120  mathnet (cited: 4)  crossref  mathscinet  zmath  isi (cited: 12)  elib  scopus (cited: 12)
98. V. I. Buslaev, “An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture”, Proc. Steklov Inst. Math., 293 (2016), 127–139  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 3)
99. V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Math. Notes, 100:6 (2016), 781–790  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus (cited: 6)
100. Andrei Martínez-Finkelshtein, Evguenii A. Rakhmanov, Sergey P. Suetin, “Asymptotics of type I Hermite–Padé polynomials for semiclassical functions”, Contemp. Math., 661, 2016, 199–228 , arXiv: 1502.01202  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
101. Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin, Zero Distribution of Hermite–Padé Polynomials and Convergence Properties of Hermite Approximants for Multivalued Analytic Functions, 2016 , 37 pp., arXiv: 1603.03314
102. A. V. Komlov, N. G. Kruzhilin, R. V. Palvelev, S. P. Suetin, “Convergence of Shafer quadratic approximants”, Russian Math. Surveys, 71:2 (2016), 373–375  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  elib  elib  scopus (cited: 6)
103. Sergey Pavlovich Suetin, Sina Sadeghi Baghsorkhi, Embedding AC Power Flow in the Complex Plane Part I: Modelling and Mathematical Foundation, 2016 , 13 pp., arXiv: 1604.03425
104. S. P. Suetin, “Zero distribution of Hermite–Padé polynomials and localization of branch points of multivalued analytic functions”, Russian Math. Surveys, 71:5 (2016), 976–978  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib  elib  scopus (cited: 6)
105. Stefan Nemirovski, Kyler Siegel, “Rationally convex domains and singular Lagrangian surfaces in $\mathbb C^2$”, Invent. Math., 203:1 (2016), 333–358 , 26 pp., arXiv: 1410.4652  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 6)  scopus (cited: 6)
106. Vladimir Chernov, Stefan Nemirovski, “Universal orderability of Legendrian isotopy classes”, J. Symplectic Geom., 14:1 (2016), 149–170 , arXiv: 1307.5694  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 8)
107. A. V. Parusnikova, O. S. Ogneva, V. A. Bykovskii, A. A. Vedenov, D. O. Golovin, Yu. O. Golovin, V. M. Zaitsev, B. K. Zuev, E. Yu. Zueva, K. M. Efimov, A. V. Ivanov, V. S. Isaev, A. S. Karyagina, A. L. Kolosov, S. P. Konovalov, P. A. Kornilov, V. V. Lavrov, V. A. Lavrova, A. A. Letunov, I. E. Letunova, V. D. Maiorov, A. B. Merkov, Yu. I. Ozhigov, S. Yu. Orevkov, O. A. Presnyakova, D. V. Reut, A. V. Skaraev, V. N. Sorokin, P. N. Sorokin, P. G. Sushilin, E. V. Fokina, N. N. Chentsova, T. I. Shvarts, A. S. Zibrov, S. V. Liskina, T. F. Nikiforova, E. G. Orevkova, M. L. Shvarts, “V. I. Parusnikov. Obituary”, Chebyshevskii Sb., 17:1 (2016), 284–285  mathnet  elib

   2017
108. S. Yu. Orevkov, E. I. Shustin, “Real algebraic and pseudoholomorphic curves on the quadratic cone and smoothings of singularity $X_{21}$”, St. Petersburg Math. J., 28:2 (2017), 225–257  mathnet  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)

   2016
109. S. Yu. Orevkov, “Markov traces on the Funar algebra”, Comm. Math. Phys., 344:2 (2016), 371–396  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
110. Grigory Mikhalkin, Stepan Orevkov, “Real algebraic knots and links of small degree”, J. Knot. Theor. Ramif., 25:12 (2016), 1642010 , 34 pp.  mathnet  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 4)
111. A. G. Sergeev, “On the European Mathematical Society”, Russian Math. Surveys, 71:1 (2016), 179–183  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
112. Algebra, geometriya i teoriya chisel, Sbornik statei. K 75-letiyu so dnya rozhdeniya akademika Vladimira Petrovicha Platonova, Trudy MIAN, 292, ed. V. M. Bukhshtaber, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2016 , 279 pp.  mathnet
113. A. G. Sergeev, “Quantum Calculus and Quasiconformal Mappings”, Math. Notes, 100:1 (2016), 123–131  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 2)
114. Funktsionalnye prostranstva, teoriya priblizhenii, smezhnye razdely matematicheskogo analiza, Sbornik statei. K 110-letiyu so dnya rozhdeniya akademika Sergeya Mikhailovicha Nikolskogo, Trudy MIAN, 293, ed. O. V. Besov, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2016 , 351 pp.  mathnet
115. Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki. II, Sbornik statei, Trudy MIAN, 294, ed. D. O. Orlov, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2016 , 327 pp.  mathnet

   2018
116. A. G. Sergeev, “Magnetic Schrödinger operator from the point of view of noncommutative geometry”, Journal of Mathematical Sciences, 293:6 (2018), 949–957  mathnet  crossref  mathscinet  scopus

   2016
117. Sovremennye problemy mekhaniki, Sbornik statei, Trudy MIAN, 295, ed. V. V. Kozlov, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2016 , 351 pp.  mathnet
118. Armen Sergeev, “Adiabatic limit in GinzburgLandau and SeibergWitten equations”, Geometric Methods in Physics (XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015), Trends Math., Trends Math., 2016, 321–330  mathnet  mathscinet  isi  elib  scopus
119. A. G. Sergeev, Introduction to noncommutative geometry, 2016  hlocal  hlocal
120. M. V. Balashov, O. V. Besov, B. I. Golubov, V. V. Goryainov, V. N. Diesperov, S. I. Dudov, G. E. Ivanov, S. P. Konovalov, R. V. Konstantinov, A. B. Kurzhanskii, S. R. Nasyrov, A. G. Sergeev, V. V. Starkov, V. M. Tikhomirov, M. I. Shabunin, “Evgenii Sergeevich Polovinkin (on his 70th birthday)”, Russian Math. Surveys, 71:5 (2016), 983–987  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
121. Armen Sergeev, “The Sobolev space of half-differentiable functions and quasisymmetric homeomorphisms”, Georgian Math. J., 23:4 (2016), 615–622  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
122. A. G. Sergeev, “Quantization of the Sobolev space of half-differentiable functions”, Sb. Math., 207:10 (2016), 1450–1457  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 3)
123. E. M. Chirka, “Removable singularities of holomorphic functions”, Sb. Math., 207:9 (2016), 1335–1343  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 3)
124. J. Alper, A. V. Isaev, N. G. Kruzhilin, “Associated forms of binary quartics and ternary cubics”, Transform. Groups, 21:3 (2016), 593–618  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  elib  scopus (cited: 5)

   2015
125. V. I. Buslaev, “Convergence of $m$-point Padé approximants of a tuple of multivalued analytic functions”, Sb. Math., 206:2 (2015), 175–200  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 10)
126. V. I. Buslaev, S. P. Suetin, “On Equilibrium Problems Related to the Distribution of Zeros of the Hermite–Padé Polynomials”, Proc. Steklov Inst. Math., 290 (2015), 256–263  mathnet  crossref  crossref  isi (cited: 22)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 11)
127. V. I. Buslaev, “Capacity of a Compact Set in a Logarithmic Potential Field”, Proc. Steklov Inst. Math., 290 (2015), 238–255  mathnet  crossref  crossref  isi (cited: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 7)
128. V. I. Buslaev, “An analogue of Polya's theorem for piecewise holomorphic functions”, Sb. Math., 206:12 (2015), 1707–1721  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 4)
129. N. R. Ikonomov, R. K. Kovacheva, S. P. Suetin, Some numerical results on the behavior of zeros of the Hermite-Padé polynomials, 2015 , 95 pp., arXiv: 1501.07090  zmath
130. S. S. Baghsorkhi, S. P. Suetin, Embedding AC Power Flow with Voltage Control in the Complex Plane : The Case of Analytic Continuation via Padé Approximants, 2015 , 9 pp., arXiv: 1504.03249
131. Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin, On the limit zero distribution of type I Hermite–Padé polynomials, 2015 , 67 pp., arXiv: 1506.08031
132. S. P. Suetin, “Distribution of the zeros of Padé polynomials and analytic continuation”, Russian Math. Surveys, 70:5 (2015), 901–951  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 29)  elib  elib  scopus (cited: 16)
133. V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
134. N. R. Ikonomov, R. K. Kovacheva, S. P. Suetin, “Nuttall's integral equation and Bernshtein's asymptotic formula for a complex weight”, Izv. Math., 79:6 (2015), 1215–1234  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
135. A. V. Komlov, S. P. Suetin, “Distribution of the zeros of Hermite–Padé polynomials”, Russian Math. Surveys, 70:6 (2015), 1179–1181  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  elib  elib  scopus (cited: 3)
136. S. Yu. Orevkov, “Algorithmic recognition of quasipositive braids of algebraic length two”, J. Algebra, 423 (2015), 1080–1108  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3)  scopus (cited: 3)
137. S. Yu. Orevkov, “On the Hurwitz action on quasipositive factorizations of 3-braids”, Dokl. Math., 91:2 (2015), 173–177  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
138. S. Yu. Orevkov, “Criterion of Hurwitz equivalence for quasipositive factorizations of 3-braids”, Dokl. Math., 92:1 (2015), 443–447  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
139. Stepan Orevkov, “Parametric equations of plane sextic curves with a maximal set of double points”, J. Algebra Appl., 14:9 (2015), 1540013 , 14 pp.  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
140. Stepan Yu. Orevkov, “Algorithmic recognition of quasipositive 4-braids of algebraic length three”, Groups Complex. Cryptol., 7:2 (2015), 157–173  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
141. A. G. Sergeev, “Twistor interpretation of harmonic spheres and Yang–Mills fields”, Mathematics, 3:1 (2015), 47–75  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
142. A. G. Sergeev, “Mezhdunarodnyi matematicheskii kongress v Seule”, Matem. prosv., ser. 3, 19, Izd-vo MTsNMO, M., 2015, 25–39  mathnet
143. Geometriya, topologiya i prilozheniya, Sbornik statei. K 70-letiyu so dnya rozhdeniya professora Nikolaya Petrovicha Dolbilina, Trudy MIAN, 288, ed. V. M. Bukhshtaber, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2015 , 287 pp.  mathnet
144. Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 150-letiyu so dnya rozhdeniya akademika Vladimira Andreevicha Steklova, Trudy MIAN, 289, ed. A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2015 , 327 pp.  mathnet
145. A. G. Sergeev, “Adiabatic Limit in the Ginzburg–Landau and Seiberg–Witten Equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285  mathnet  crossref  crossref  isi (cited: 11)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 11)
146. V. V. Kozlov, V. P. Pavlov, A. G. Sergeev, “Vladimir Andreevich Steklov (1863–1926)”, Proc. Steklov Inst. Math., 289 (2015), 1–9  mathnet  crossref  crossref  isi  elib  scopus
147. Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki, Sbornik statei, Trudy MIAN, 290, ed. D. O. Orlov, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2015 , 343 pp.  mathnet
148. A. G. Sergeev, “Kompyuternaya tomografiya”, Matematicheskaya sostavlyayuschaya, Matematicheskie etyudy, Moskva, 2015, 14–15
149. A. Sergeev, “On the moduli space of Yang-Mills fields on $\mathbb R^4$”, Geometric Methods in Physics, XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014, Trends in Mathematics, eds. P. Kielanowski, P. Bieliavsky, A. Odzijewicz, T. Voronov, Birkhauser, Basel, 2015, 167–176  mathnet  crossref  zmath
150. Optimalnoe upravlenie, Sbornik statei. K 105-letiyu so dnya rozhdeniya akademika Lva Semenovicha Pontryagina, Trudy MIAN, 291, ed. S. M. Aseev, A. G. Sergeev, MAIK Nauka/Interperiodika, M., 2015 , 311 pp.  mathnet

   2017
151. A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762  mathnet  crossref  mathscinet  elib  elib  scopus

   2015
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