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Natanzon Sergey Mironovich

Statistics Math-Net.Ru
Total publications: 59 (55)
in MathSciNet: 56 (54)
in zbMATH: 47 (46)
in Web of Science: 43 (42)
in Scopus: 17 (17)
Cited articles: 46
Citations in Math-Net.Ru: 311
Presentations: 21

Number of views:
This page:1875
Abstract pages:10240
Full texts:3288
References:1072
Doctor of physico-mathematical sciences (2000)
E-mail: ,
Website: http://www.hse.ru/en/org/persons/14026884
Keywords: real algebraic geometry, moduli of complex and real algebraic curves and its superanalogs, quantum cohomology, Frobenius manifolds, integrable systems, quantum field theory, string theory.
UDC: 515.171.179.8, 512.7/78, 515.17/.179.8, 519.4, 515.1, 517.912, 517.9, 514.7, 512.7, 513.6
MSC: 57M12, 30F50, 20B30, 57M50, 57R56, 20C05, 14H10, 14G30, 4H99, 20H10, 30F35, 54H15, 57S99

Subject:

Real algebraic geometry. Moduli of complex and real algebraic curves and its superanalogs. Quantum cohomology. Frobenius manifolds. Integrable systems. Quantum field

   
Main publications:
  1. С. М. Натанзон, Moduli of Riemann surfaces, real algebraic curves, and their superanalogs, Translations of Mathematical Monographs, 225, American Mathematical Society, Providence, RI, 2004, 160 pp.  mathscinet

http://www.mathnet.ru/eng/person8969
List of publications on Google Scholar
List of publications on ZentralBlatt
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=129640

Publications in Math-Net.Ru
1. Moduli spaces of higher spin Klein surfaces
Sergey Natanzon, Anna Pratoussevitch
Mosc. Math. J., 17:2 (2017),  327–349
2. Double pants decompositions revisited
Anna Felikson, Sergey Natanzon
Mosc. Math. J., 17:1 (2017),  51–58
3. Higher spin Klein surfaces
Sergey Natanzon, Anna Pratoussevitch
Mosc. Math. J., 16:1 (2016),  95–124
4. Classification of $m$-spin Klein surfaces
S. M. Natanzon, A. M. Pratusevich
Uspekhi Mat. Nauk, 71:2(428) (2016),  211–212
5. Labeled double pants decompositions
Anna Felikson, Sergey Natanzon
Mosc. Math. J., 11:3 (2011),  505–519
6. Double pants decompositions of 2-surfaces
Anna Felikson, Sergey Natanzon
Mosc. Math. J., 11:2 (2011),  231–258
7. Moduli spaces of Gorenstein quasi-homogeneous surface singularities
S. M. Natanzon, A. M. Pratusevich
Uspekhi Mat. Nauk, 66:5(401) (2011),  189–190
8. Klein Topological Field Theories from Group Representations
Sergey A. Loktev, Sergey M. Natanzon
SIGMA, 7 (2011), 070
9. Complete set of cut-and-join operators in the Hurwitz–Kontsevich theory
A. D. Mironov, A. Yu. Morozov, S. M. Natanzon
TMF, 166:1 (2011),  3–27
10. Simple Hurwitz Numbers of a Disk
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 44:1 (2010),  44–58
11. The algebra of bipartite graphs and Hurwitz numbers of seamed surfaces
A. V. Alekseevskii, S. M. Natanzon
Izv. RAN. Ser. Mat., 72:4 (2008),  3–24
12. Classification of $\mathbb Z_{p_k}^m$ orientation preserving actions on surfaces
A. F. Costa, S. M. Natanzon
Mosc. Math. J., 7:3 (2007),  419–424
13. Singularities and Noncommutative Frobenius Manifolds
S. M. Natanzon
Tr. Mat. Inst. Steklova, 259 (2007),  143–155
14. Algebra of Hurwitz numbers for seamed surfaces
A. V. Alekseevskii, S. M. Natanzon
Uspekhi Mat. Nauk, 61:4(370) (2006),  185–186
15. The topology of m–spinor structures on Riemann surfaces
S. M. Natanzon, A. M. Pratusevich
Uspekhi Mat. Nauk, 60:2(362) (2005),  169–170
16. Witten Solution for the Gelfand–Dikii Hierarchy
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 37:1 (2003),  25–37
17. Effectivisation of a string solution of the $2D$ Toda hierarchy and the Riemann theorem about complex domains
S. M. Natanzon
Mosc. Math. J., 3:2 (2003),  541–549
18. Симметрии поверхностей и вещественные алгебраические кривые
S. M. Natanzon
Mat. Pros., Ser. 3, 7 (2003),  116–125
19. Formal series for the $\tau$-function realizing Riemann's theorem about domains in the complex plane
S. M. Natanzon
Uspekhi Mat. Nauk, 56:4(340) (2001),  155–156
20. Recurrence Formulas for $A_n$- and $B_n$-Solutions of the WDVV Equations
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 34:3 (2000),  81–84
21. Topological classification of unitary functions of arbitrary genus
S. M. Natanzon, S. V. Shadrin
Uspekhi Mat. Nauk, 55:6(336) (2000),  151–152
22. Moduli of real algebraic surfaces, and their superanalogues. Differentials, spinors, and Jacobians of real curves
S. M. Natanzon
Uspekhi Mat. Nauk, 54:6(330) (1999),  3–60
23. Moduli of Riemann surfaces, Hurwitz-type spaces, and their superanalogues
S. M. Natanzon
Uspekhi Mat. Nauk, 54:1(325) (1999),  61–116
24. The topological structure of the space of holomorphic morphisms of Riemann surfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 53:2(320) (1998),  155–156
25. On compatible Poisson structures of hydrodynamic type
S. M. Natanzon
Uspekhi Mat. Nauk, 52:6(318) (1997),  173–174
26. Moduli Spaces of Real Algebraic $N=2$ Supercurves
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 30:4 (1996),  19–30
27. Real borderings of complex algebraic curves and Coxeter groups
S. M. Natanzon
Uspekhi Mat. Nauk, 51:6(312) (1996),  215–216
28. Trigonometric tensors on algebraic curves of arbitrary genus. An analogue of the Sturm–Hurwitz theorem
S. M. Natanzon
Uspekhi Mat. Nauk, 50:6(306) (1995),  199–200
29. On quadratic forms over the field $\mathbb Z_2$
S. M. Natanzon
Uspekhi Mat. Nauk, 50:5(305) (1995),  243–244
30. Classification of Pairs of Arf Functions on Orientable and Nonorientable Surfaces
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 28:3 (1994),  35–46
31. Topological types of actions of the group $(Z/2Z)^n$ on surfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 48:2(290) (1993),  195–196
32. Topological invariants and moduli of hyperbolic $n=2$ Riemann supersurfaces
S. M. Natanzon
Mat. Sb., 184:5 (1993),  19–38
33. Differential equations on the Prym theta function. a realness criterion for two-dimensional, finite-zone, potential Schrödinger operators
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 26:1 (1992),  17–26
34. A topological classification of a pair of spinor forms on surfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 47:1(283) (1992),  215–216
35. Discrete subgroups of $GL(2,C)$ and spinor bundles on Riemann and Klein surfaces
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 25:4 (1991),  76–78
36. Klein supersurfaces
S. M. Natanzon
Mat. Zametki, 48:2 (1990),  72–82
37. Klein surfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 45:6(276) (1990),  47–90
38. Supercoverings, $SNEC$-groups, and interior groups of Riemann and Klein supersurfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 45:2(272) (1990),  217–218
39. Prymians of real curves and their applications to the effectivization of Schrödinger operators
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 23:1 (1989),  41–56
40. Moduli space of super–Riemann surfaces
S. M. Natanzon
Mat. Zametki, 45:4 (1989),  111–116
41. Spinor bundles over real algebraic curves
S. M. Natanzon
Uspekhi Mat. Nauk, 44:3(267) (1989),  165–166
42. Nonsingular finite-zone two-dimensional Schrödinger operators and prymians of real curves
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 22:1 (1988),  79–80
43. Real theta-function solutions of the Kadomtsev–Petviashvili equation
B. A. Dubrovin, S. M. Natanzon
Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988),  267–286
44. Finite groups of homeomorphisms of surfaces, and real forms of complex algebraic curves
S. M. Natanzon
Tr. Mosk. Mat. Obs., 51 (1988),  3–53
45. Topological type and moduli of Riemannian and Klein supersurfaces
S. M. Natanzon
Zap. Nauchn. Sem. LOMI, 167 (1988),  179–185
46. The Fricke space of super-Fuchsian groups
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 21:2 (1987),  80–81
47. Topological classification of pairs of commuting antiholomorphic involutions of Riemann surfaces
S. M. Natanzon
Uspekhi Mat. Nauk, 41:5(251) (1986),  191–192
48. Real two-zone solutions of the sine-Gordon equation
B. A. Dubrovin, S. M. Natanzon
Funktsional. Anal. i Prilozhen., 16:1 (1982),  27–43
49. The total number of ovals of four complex-isomorphic real algebraic curves
S. M. Natanzon
Uspekhi Mat. Nauk, 35:4(214) (1980),  184
50. On the total number of ovals of real forms of a complex algebraic curve
S. M. Natanzon
Uspekhi Mat. Nauk, 35:1(211) (1980),  207–208
51. Automorphisms and real forms of a class of complex algebraic curves
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 13:2 (1979),  89–90
52. Automorphisms of the Riemann surface of an $M$-curve
S. M. Natanzon
Funktsional. Anal. i Prilozhen., 12:3 (1978),  82–83
53. Spaces of moduli of real curves
S. M. Natanzon
Tr. Mosk. Mat. Obs., 37 (1978),  219–253
54. Moduli of real algebraic curves
S. M. Natanzon
Uspekhi Mat. Nauk, 30:1(181) (1975),  251–252
55. Invariant lines of Fuchsian groups
S. M. Natanzon
Uspekhi Mat. Nauk, 27:4(166) (1972),  145–160

56. Igor Krichever
V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman
Mosc. Math. J., 10:4 (2010),  833–834
57. Oleg Sheinman
V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Kirillov, I. Krichever, S. Natanzon, S. Novikov, A. Sergeev, A. Sossinsky, M. Tsfasman
Mosc. Math. J., 9:3 (2009),  723–724
58. Armen Sergeev
V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, V. Kozlov, S. Natanzon, O. Sheinman, A. Sossinsky, D. Treschev, M. Tsfasman
Mosc. Math. J., 9:2 (2009),  439–440
59. Erratum
S. M. Natanzon
Uspekhi Mat. Nauk, 42:2(254) (1987),  283

Presentations in Math-Net.Ru
1. Higher spin Riemann and Klein surfaces
S. Natanzon
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 14, 2017 14:30
2. Клейновы пены
S. M. Natanzon

May 25, 2017 10:20   
3. KP and n-KdV hierarchies and its solutions
S. M. Natanzon
Complex analysis and mathematical physics
April 11, 2017 16:00
4. Formal solution to the h-KP hierarchy
S. M. Natanzon
5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories
June 10, 2016 16:00   
5. Symmetric solutions of the dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics
S. M. Natanzon
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 09:40
6. Двумерные топологические теории поля
S. M. Natanzon
Knots and Representation Theory
November 11, 2014 18:30
7. Construction of conformal maps via integrable systems
S. M. Natanzon
The International Conference "Geometric Control Theory and Analysis on Metric Structures"
August 5, 2014 11:00
8. Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics
S. M. Natanzon
Fourth international workshop "Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion"
May 31, 2014 11:00
9. Симметричные решения бездисперсионной 2D-Тода иерархии и числа Гурвица
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 7, 2013 14:00
10. Foam Hurwitz operators realizing open-closed strings
S. M. Natanzon
International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 21, 2012 14:30   
11. Full algebra of cut-and-join operators.
S. M. Natanzon
International conference "Geometrical Methods in Mathematical Physics"
December 12, 2011 16:00   
12. Полная алгебра Cut-and-Join операторов
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
September 28, 2011 18:30
13. Топологические инварианты и пространства модулей квази-однородных горенштеновых особенностей
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
November 10, 2010 18:30
14. Алгебра Cut-and-Join операторов
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
July 28, 2010 14:00
15. Клейнова пена
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
March 24, 2010 18:30
16. Топологическая теория струн
S. M. Natanzon
Meetings of the Moscow Mathematical Society
March 17, 2009
17. Числа Гурвица накрытий Смита–Дольда
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
October 1, 2008
18. Topological field theories
S. M. Natanzon
Meetings of the St. Petersburg Mathematical Society
June 14, 2005
19. Топологические теории поля
S. M. Natanzon
Meetings of the Moscow Mathematical Society
March 29, 2005
20. Пространство модулей $m$-spin структур
S. M. Natanzon
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
November 24, 2004
21. Topological field theory and Hurwitz numbers (based on a joint work with A. V. Alekseevsky)
S. M. Natanzon
Lie groups and invariant theory
April 7, 2004 16:20

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