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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 |
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: http://www.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: http://www.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
Beloshapka Iuliya Valerievna

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: i-beloshapka@yandex.ru
Pal'velev Roman Vital'evich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
e-mail: palvelev@mi.ras.ru
Principal fields of research: Classical gauge fields.
Pal'velev Roman Vital'evich

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)
Seminar on Complex Analysis (Gonchar Seminar)
Steklov Mathematical Institute, Room 411 (8 Gubkina)
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
MSU, auditorium 13-04
Complex analysis and mathematical physics
Seminar Chairmen: A. G. Sergeev; A. V. Domrin
Steklov Mathematical Institute, Room 430 (8 Gubkina)
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.

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).


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).

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 |

1. V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205  mathnet  crossref  crossref  adsnasa  elib  scopus (cited: 1)
2. V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536  mathnet  crossref  crossref  isi  elib  scopus
3. S. P. Suetin, Complex analysis, mathematical physics, and applications, Collected papers, Tr. Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018 (to appear)  mathnet

4. S. P. Suetin, Uspekhi Mat. Nauk  mathnet  crossref  mathscinet  elib

5. Chernov, V., Nemirovski, S., “Redshift and contact forms”, J. Geom. Phys., 123 (2018), 379–384 , arXiv: 1709.01741  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
6. Stefan Nemirovski, Rasul Shafikov, “Uniformization and Steinness”, Canadian Mathematical Bulletin, 2018 (Published online) , 3 pp. Published: 2017-11-02  crossref
7. S. Yu. Orevkov, Uspekhi Mat. Nauk (to appear)  mathnet

8. G. B. Mikhalkin, S. Yu. Orevkov, “Topology of maximally writhed real algebraic knots”, Dokl. Math., 97:1 (2018), 28–31  mathnet  crossref  crossref  isi  elib  scopus
9. S. Yu. Orevkov, Funktsional. Anal. i Prilozhen.  mathnet  crossref  elib

10. Patrick M. Gilmer and Stepan Yu. Orevkov, “Signatures of real algebraic curves via plumbing diagrams”, J. Knot Theory Ramifications, 27:3 (2018), 1840003 , 33 pp. Link na statyu  crossref  isi
11. A. G. Sergeev, Twistor Geometry and Gauge Fields, 2018  hlocal  hlocal
12. A. G. Sergeev, “Twistor Geometry and Gauge Fields”, Tr. Mosk. Mat. Obs., 79, no. 2, 2018 (to appear)  mathnet
13. E. M. Chirka, “Orthogonal complex structures in $\mathbb{R}^4$”, Russian Math. Surveys, 73:1 (2018), 91–159  mathnet  crossref  crossref  mathscinet  elib
14. E. M. Chirka, Complex analysis, mathematical physics, and applications, Collected papers, Tr. Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018 (to appear)  mathnet

15. 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
16. 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: 3)  elib  scopus (cited: 1)
17. 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  elib  scopus
18. 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: 1)  elib  scopus
19. 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  elib  scopus
20. 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
21. Stepan Yu. Orevkov, “Remark on Tono's theorem about cuspidal curves”, Math. Nachr., 290:17 (2017), 2992–2994  mathnet  crossref  isi
22. 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  elib  elib  scopus
23. A. G. Sergeev, “Noncommutative geometry and analysis”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 137, VINITI, Moscow, 2017, 61–81  mathnet
24. Sergeev Armen, “Seiberg-Witten theory as a complex version of Abelian Higgs model”, Sci. China, Math., 60:6 (2017), 1089–1100  mathnet  crossref  isi  scopus
25. A. G. Sergeev, “String theory and quasiconformal maps”, Lobachevskii J. Math., 38:2 (2017), 352–363  mathnet  crossref  isi  scopus
26. 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  scopus
27. E. M. Chirka, “On removable singularities of complex analytic sets”, Sb. Math., 208:7 (2017), 1073–1086  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

28. 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 (cited: 4)  zmath  isi (cited: 8)  elib  scopus (cited: 6)
29. 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: 1)
30. 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: 1)
31. 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: 1)  crossref  isi
32. 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
33. 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: 8)  elib  elib  scopus (cited: 4)
34. 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
35. 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: 5)  elib  scopus (cited: 4)
36. 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 (cited: 2)  isi (cited: 3)  elib  scopus
37. Vladimir Chernov, Stefan Nemirovski, “Universal orderability of Legendrian isotopy classes”, J. Symplectic Geom., 14:1 (2016), 149–170 , arXiv: 1307.5694  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib  scopus (cited: 2)

38. 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  elib  elib  scopus

39. S. Yu. Orevkov, “Markov traces on the Funar algebra”, Comm. Math. Phys., 344:2 (2016), 371–396  mathnet  crossref  mathscinet (cited: 1)  zmath  isi  elib  scopus
40. 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: 1)  elib  scopus (cited: 1)
41. 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: 1)
42. A. G. Sergeev, “Magnetic Schrödinger operator from the point of view of noncommutative geometry”, CMFD, 59 (2016), 192–200  mathnet  mathscinet
43. 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  isi  elib  scopus
44. A. G. Sergeev, Introduction to noncommutative geometry, 2016  hlocal  hlocal
45. 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)
46. 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: 2)  elib  scopus
47. E. M. Chirka, “Removable singularities of holomorphic functions”, Sb. Math., 207:9 (2016), 1335–1343  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
48. 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: 2)  elib  scopus (cited: 2)
49. I. V. Beloshapka, S. O. Gorchinskiy, “Irreducible representations of finitely generated nilpotent groups”, Sb. Math., 41–64  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus

50. 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: 8)
51. 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: 14)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 7)
52. 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: 4)
53. 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  scopus (cited: 1)
54. 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
55. 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
56. 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
57. 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: 15)  elib  scopus (cited: 7)
58. 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)
59. 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: 5)  elib  scopus (cited: 2)
60. 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)
61. 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)
62. 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
63. 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 (cited: 2)  zmath  isi (cited: 1)  scopus (cited: 2)
64. 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
65. A. G. Sergeev, “Twistor interpretation of harmonic spheres and Yang–Mills fields”, Mathematics, 3:1 (2015), 47–75  mathnet (cited: 2)  crossref  zmath  isi (cited: 2)
66. 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: 7)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 7)
67. 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

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

69. A. G. Sergeev, “Matematika i fizika: skovannye odnoi tsepyu”, Beskonechnomernyi analiz, stokhastika, matematicheskoe modelirovanie: novye zadachi i metody. Problemy matematicheskogo i estestvennonauchnogo obrazovaniya, Sbornik statei Mezhdunarodnoi konferentsii, eds. A. I. Kirillov, S. A. Rozanova, Rossiiskii universitet druzhby narodov, M., 2015, 71–77  elib
70. E. M. Chirka, “On the $\bar \partial $-Problem with $L^2$-Estimates on a Riemann Surface”, Proc. Steklov Inst. Math., 290 (2015), 264–276  mathnet  crossref  crossref  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
71. R. V. Palvelev, “Scattering of vortices in Abelian Higgs models on compact Riemann surfaces”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:2 (2015), 293–310  mathnet  crossref  rsci  elib
72. I. V. Beloshapka, “On irreducible representations with finiteweight of a certain discrete nilpotent group”, Russian Math. Surveys, 70:4 (2015), 777–778  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

73. V. I. Buslaev, S. P. Suetin, “Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions”, Russian Math. Surveys, 69:1 (2014), 159–161  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
74. V. I. Buslaev, S. P. Suetin, “An extremal problem in potential theory”, Russian Math. Surveys, 69:5 (2014), 915–917  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
75. A. V. Komlov, S. P. Suetin, “Strong asymptotics of two-point Padé approximants for power-like multivalued functions”, Dokl. Math., 89:2 (2014), 165–168  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
76. R. K. Kovacheva, S. P. Suetin, “Distribution of Zeros of the Hermite–Padé Polynomials for a System of Three Functions, and the Nuttall Condenser”, Proc. Steklov Inst. Math., 284 (2014), 168–191  mathnet  crossref  crossref  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
77. A. V. Komlov, S. P. Suetin, “An asymptotic formula for polynomials orthonormal with respect to a varying weight. II”, Sb. Math., 205:9 (2014), 1334–1356  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
78. S. Yu. Orevkov, “On modular computation of Gröbner bases with integer coefficients”, J. Math. Sci. (N. Y.), 200:6 (2014), 722–724  mathnet  crossref  elib  scopus
79. S. Yu. Orevkov, “Cubic Hecke algebras and invariants of transversal links”, Dokl. Math., 89:1 (2014), 115–118  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
80. A. G. Sergeev, Xiangyu Zhou, “Invariant domains of holomorphy: twenty years later”, Proc. Steklov Inst. Math., 285 (2014), 241–250  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
81. A. Sergeev, “Harmonic spheres conjecture”, Concrete operators, spectral theory, operators in harmonic analysis and approximation, Oper. Theory Adv. Appl., 236, Birkhäuser/Springer, Basel, 2014, 463–473  crossref  mathscinet
82. A. G. Sergeev, Lectures on functional analysis, Lekts. Kursy NOC, 23, Steklov Math. Inst., RAS, Moscow, 2014 , 102 pp.  mathnet  mathnet  crossref  crossref  elib
83. I. V. Beloshapka, A. G. Sergeev, “Harmonic spheres in the Hilbert-Schmidt Grassmannian”, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, eds. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, Amer. Math. Soc., Providence, RI, 2014, 13–31  mathscinet
84. A. G. Sergeev, Lectures on universal Teichmüller space, EMS Series of Lectures in Mathematics, EMS Publshing House, Zürich, 2014 , 104 pp.  zmath
85. A. Sergeev, “Quantization of universal Teichmüller space”, Phys. Part. Nucl. Lett., 11:7 (2014), 904–909  mathnet  crossref  elib  scopus
86. A. Isaev, N. Kruzhilin, “Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras”, Proc. Amer. Math. Soc., 142:2 (2014), 581–590 , arXiv: 1203.5549  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 3)  elib  scopus (cited: 2)
87. I. V. Beloshapka, “On representations of a Heisenberg group of matrices with one integer and two real coefficients”, Russian Math. Surveys, 69:5 (2014), 921–923  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

88. V. I. Buslaev, “Convergence of multipoint Padé approximants of piecewise analytic functions”, Sb. Math., 204:2 (2013), 190–222  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 15)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 9)
89. V. I. Buslaev, “An estimate for the capacity of the set of singularities of functions defined by their continued fraction expansions”, Anal. Math., 39:1 (2013), 1–27 (Russian)  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
90. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “A differential equation for Hermite–Padé polynomials”, Russian Math. Surveys, 68:1 (2013), 183–185  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
91. A. V. Komlov, S. P. Suetin, “An asymptotic formula for a two-point analogue of Jacobi polynomials”, Russian Math. Surveys, 68:4 (2013), 779–781  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
92. E. A. Rakhmanov, S. P. Suetin, “The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system”, Sb. Math., 204:9 (2013), 1347–1390  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 16)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 11)
93. Sergey Suetin, Trace formulas for a class of Jacobi operators, 2013 , 31 pp., arXiv: 1310.4356
94. Sergey Suetin, On the distribution of zeros of the Hermite–Padé polynomials for three algebraic functions $1,f,f^2$ and the global topology of the Stokes lines for some differential equations of the third order, 2013 , 59 pp., arXiv: 1312.7105
95. V. Chernov, S. Nemirovski, “Cosmic censorship of smooth structures”, Comm. Math. Phys., 320:2 (2013), 469–473  mathnet  crossref  mathscinet (cited: 2)  zmath  isi (cited: 8)  elib (cited: 3)  scopus (cited: 6)
96. S. Nemirovski, “Levi problem and semistable quotients”, Complex Var. Elliptic Equ., 58:11 (2013), 1517–1525 , “Corrigendum”, ibid., 1633  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
97. A. G. Sergeev, “Harmonic spheres conjecture”, Geometric methods in physics, XXX Workshop on Geometric Methods in Physics (Bialowiezha, Poland, June 26–July 2, 2011), Trends in Mathematics, eds. P. Kielanowski, S. Twareque Ali, A. Odzijewicz, M. Schlichenmaier, T. Voronov, Birkhäuser, Basel, 2013, 391–404  mathnet  crossref  mathscinet  zmath  scopus
98. A. G. Sergeev, Lectures on universal Teichmüller space, Lekts. Kursy NOC, 21, Steklov Math. Inst., RAS, Moscow, 2013 , 130 pp.  mathnet  mathnet  crossref  crossref  zmath  zmath  elib
99. A. Yu. Vasiliev, A. G. Sergeev, “Classical and quantum Teichmüller spaces”, Russian Math. Surveys, 68:3 (2013), 435–502  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus

100. A. G. Sergeev, “Adiabatic limit for hyperbolic Ginzburg–Landau equations”, Journal of Mathematical Sciences, 202:6 (2014), 887–896  mathnet  crossref  scopus

101. V. I. Buslaev, A. Martines-Finkelshtein, S. P. Suetin, “Metod vnutrennikh variatsii i suschestvovanie $S$-kompaktov”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Sbornik statei, Tr. MIAN, 279, MAIK, M., 2012, 31–58  mathnet (cited: 15)  mathnet (cited: 15)  mathscinet (cited: 11)  elib (cited: 4)
102. A. V. Komlov, S. P. Suetin, “Widom's formula for the leading coefficient of a polynomial which is orthonormal with respect to a varying weight”, Russian Math. Surveys, 67:1 (2012), 183–185  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
103. S. P. Suetin, “An analogue of the Hadamard and Schiffer variational formulas”, Theoret. and Math. Phys., 170:3 (2012), 274–279  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
104. E. A. Rakhmanov, S. P. Suetin, “Asymptotic behaviour of the Hermite–Padé polynomials of the 1st kind for a pair of functions forming a Nikishin system”, Russian Math. Surveys, 67:5 (2012), 954–956  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
105. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Heine, Hilbert, Padé, Riemann, and Stieltjes: a John Nuttall's work 25 years later”, Recent advances in orthogonal polynomials, special functions and their applications, 11th International Symposium (August 29–September 2, 2011 Universidad Carlos III de Madrid Leganés, Spain), Contemp. Math., 578, eds. J. Arvesú and G. López Lagomasino, Amer. Math. Soc., Providence, RI, 2012, 165–193  mathnet  crossref  mathscinet (cited: 10)  isi (cited: 12)
106. A. V. Komlov, S. P. Suetin, “Asimptoticheskaya formula dlya polinomov, ortonormirovannykh otnositelno peremennogo vesa”, Trudy Moskovskogo matematicheskogo obschestva, Tr. MMO, 73, no. 2, MTsNMO, M., 2012, 175–200  mathnet (cited: 2)  mathscinet (cited: 2)  zmath  elib
107. A. V. Komlov, S. P. Suetin, “Leading coefficients asymptotics for orthonormal polynomials with respect to varying weight”, 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics (Russia, Krasnoyarsk, September 9–16, 2012), Abstracts, Siberian Federal University, Krasnoyarsk, 2012, 26–29 pdf (in Russian)
108. S. Yu. Orevkov, “On commutator subgroups of Artin groups”, Dokl. Math., 85:1 (2012), 117–119  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
109. A. G. Sergeev, “Magnetic Bloch Theory and Noncommutative Geometry”, Proc. Steklov Inst. Math., 279 (2012), 181–193  mathnet  crossref  mathscinet  isi  elib
110. R. V. Palvelev, A. G. Sergeev, “Justification of the adiabatic principle for hyperbolic Ginzburg–Landau equations”, Proc. Steklov Inst. Math., 277 (2012), 191–205  mathnet  crossref  mathscinet  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)
111. A. G. Sergeev, “Drobnyi kvantovyi effekt Kholla s tochki zreniya nekommutativnoi geometrii”, Trudy Seminara po vektornomu i tenzornomu analizu, 28, MGU, Moskva, 2012, 250–270
112. A. Sergeev, “Harmonic spheres and Yang–Mills fields”, J. Geom. Symmetry Phys., 27 (2012), 1–25  mathnet  crossref  mathscinet  zmath  elib  scopus
113. E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Russian Math. Surveys, 67:6 (2012), 1091–1165  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 1)
114. E. M. Chirka, “Harnack inequalities, Kobayashi distances and holomorphic motions”, Proc. Steklov Inst. Math., 279 (2012), 194–206  mathnet  crossref  mathscinet  isi (cited: 2)  elib
115. Palvelev R.V., “Adiabatic principle in the (2+1)-dimensional Abelian Higgs model (in Russian)”, Mathematical Physics and Its Applications. The Third International Conference (Russia, Samara, August 27 – September 01, 2012), Book of Abstracts, eds. I. V. Volovich, V. P. Radchenko, Samara State Technical University, Samara, 2012, 222–223
116. R. V. Palvelev, “Adiabatic principle in the Abelian Higgs model (in Russian)”, 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics (Russia, Krasnoyarsk, September 9–16, 2012), Abstracts, eds. O. V. Znamenskaya, A. V. Shchuplev, Siberian Federal University, Krasnoyarsk, 2012, 55–57
117. I. V. Beloshapka, “Uniform approximation by polynomials on compacta of special form”, Mosc. Univ. Math. Bull., 67:3 (2012), 121–124  crossref  mathscinet  zmath  elib  scopus

118. Russian Math. Surveys, 66:6 (2011), 1015–1048  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
119. A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 26)  elib (cited: 17)  elib (cited: 17)  scopus (cited: 19)
120. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium measure and the $S$-property of a stationary compact set”, Russian Math. Surveys, 66:1 (2011), 176–178  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 8)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 5)
121. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of stationary compact sets”, Sb. Math., 202:12 (2011), 1831–1852  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  elib (cited: 12)  elib (cited: 12)  scopus (cited: 12)
122. S. P. Suetin, “Random matrices and asymptotics of orthogonal polynomials”, III International Conference on Matrix Methods in Mathematics and Applications, Abstracts (Moscow, Russia, June 22-25, 2011), Institute of Numerical Mathematics of RAS, 2011, 18 Web-site
123. A. G. Sergeev, “Quantization of universal Teichmüller space”, Geometry and quantization, Trav. Math., 19, Univ. Luxemb., Luxembourg, 2011, 7–26  mathscinet (cited: 2)  zmath
124. A. Sergeev, “Quantization of the universal Teichmüller space”, Complex Var. Elliptic Equ., 56:1-4 (2011), 325–344  crossref  zmath  isi  elib  scopus
125. G. Fels, A. Isaev, W. Kaup, N. Kruzhilin, “Isolated hypersurface singularities and special polynomial realizations of affine quadrics”, J. Geom. Anal., 21:3 (2011), 767–782  crossref  mathscinet (cited: 8)  zmath  isi (cited: 10)  elib (cited: 7)  scopus (cited: 7)
126. R. V. Pal'velev, “Justification of the adiabatic principle in the Abelian Higgs model”, Transactions of the Moscow Mathematical Society, 72 (2011), 219–244  mathnet  crossref  zmath  elib  scopus (cited: 7)
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