RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Varchenko Aleksandr Nikolaevich

Statistics Math-Net.Ru
Total publications: 63
Scientific articles: 56
Presentations: 3

Number of views:
This page:2500
Abstract pages:18249
Full texts:5605
References:1522
E-mail: ,
Website: http://www.math.unc.edu/Faculty/av/

http://www.mathnet.ru/eng/person21441
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:varchenko.alexander-n
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=190269

Publications in Math-Net.Ru
1. Populations of Solutions to Cyclotomic Bethe Equations
Alexander Varchenko, Charles A. S. Young
SIGMA, 11 (2015), 091
2. Combinatorial Formulae for Nested Bethe Vectors
Vitaly Tarasov, Alexander Varchenko
SIGMA, 9 (2013), 048
3. KZ characteristic variety as the zero set of classical Calogero–Moser Hamiltonians
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
SIGMA, 8 (2012), 072
4. Cohomology of a flag variety as a Bethe algebra
A. N. Varchenko, R. Rimányi, V. O. Tarasov, V. V. Schechtman
Funktsional. Anal. i Prilozhen., 45:4 (2011),  16–31
5. Conformal blocks and equivariant cohomology
Richárd Rimányi, Vadim Schechtman, Alexander Varchenko
Mosc. Math. J., 11:3 (2011),  561–581
6. Quantum Integrable Model of an Arrangement of Hyperplanes
Alexander Varchenko
SIGMA, 7 (2011), 032
7. Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\frak{gl}_N$
E. Mukhin, V. Tarasov, A. Varchenko
Algebra i Analiz, 22:3 (2010),  177–190
8. A Selberg integral type formula for an $\mathfrak{sl}_2$ one-dimensional space of conformal blocks
A. Varchenko
Mosc. Math. J., 10:2 (2010),  469–475
9. Higher Lamé equations and critical points of master functions
E. E. Mukhin, V. O. Tarasov, A. N. Varchenko
Mosc. Math. J., 7:3 (2007),  533–542
10. Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel
Evgeny Mukhin, Vitaly Tarasov, Alexander Varchenko
SIGMA, 3 (2007), 060
11. On a New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model
E. E. Mukhin, V. Schechtman, V. O. Tarasov, A. N. Varchenko
Tr. Mat. Inst. Steklova, 258 (2007),  162–184
12. Bethe ansatz for arrangements of hyperplanes and the Gaudin model
A. N. Varchenko
Mosc. Math. J., 6:1 (2006),  195–210
13. Critical points of functions, $\mathfrak{sl}_2$ representations, and Fuchsian differential equations with only univalued solutions
I. G. Scherbak, A. N. Varchenko
Mosc. Math. J., 3:2 (2003),  621–645
14. Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator
G. Felder, L. J. Stevens, A. N. Varchenko
Mosc. Math. J., 3:2 (2003),  457–473
15. A remark on the $sl_2$ approximation of the Kontsevich integral of the unknot
A. N. Varchenko, S. Tyurina
Zap. Nauchn. Sem. POMI, 299 (2003),  30–37
16. Small elliptic quantum group $e_{\tau,\gamma}(\mathfrak{sl}_N)$
V. O. Tarasov, A. N. Varchenko
Mosc. Math. J., 1:2 (2001),  243–286
17. Algebraic Integrability of the Two-Body Ruijsenaars Operator
A. N. Varchenko, G. Felder
Funktsional. Anal. i Prilozhen., 32:2 (1998),  8–25
18. Jackson integral representations for solutions of the Knizhnik–Zamolodchikov quantum equation
A. N. Varchenko, V. O. Tarasov
Algebra i Analiz, 6:2 (1994),  90–137
19. Combinatorics of a partial fraction decomposition
A. N. Varchenko
Trudy Mat. Inst. Steklov., 193 (1992),  49–52
20. Determinant formula for Selberg-type integrals
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 25:4 (1991),  88–89
21. Projective geometry and $K$-theory
A. A. Beilinson, A. N. Varchenko, A. B. Goncharov, V. V. Schechtman
Algebra i Analiz, 2:3 (1990),  78–130
22. The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a configuration of hyperplanes. II
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 54:1 (1990),  146–158
23. The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a configuration of hyperplanes. I
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989),  1206–1235
24. Critical values and the determinant of the periods
A. N. Varchenko
Uspekhi Mat. Nauk, 44:4(268) (1989),  235–236
25. Rearrangements of convex hulls and phase transitions in thermodynamics
A. N. Varchenko
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 33 (1988),  157–191
26. Functional equations for a volume map
A. N. Varchenko
Mat. Zametki, 44:4 (1988),  417–427
27. Heaviside functions of a configuration of hyperplanes
A. N. Varchenko, I. M. Gel'fand
Funktsional. Anal. i Prilozhen., 21:4 (1987),  1–18
28. Combinatorics and topology of the disposition of affine hyperplanes in real space
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 21:1 (1987),  11–22
29. On normal forms of nonsmoothness of solutions of hyperbolic equations
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  652–665
30. The period map and the discriminant
A. N. Varchenko
Mat. Sb. (N.S.), 134(176):1(9) (1987),  66–81
31. Local classification of volume forms in the presence of a hypersurface
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 19:4 (1985),  23–31
32. On the local residue and the intersection form on the vanishing cohomology
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 49:1 (1985),  32–54
33. Finite irreducible groups, generated by reflections, are monodromy groups of suitable singularities
A. N. Varchenko, S. V. Chmutov
Funktsional. Anal. i Prilozhen., 18:3 (1984),  1–13
34. Estimate of the number of zeros of an abelian integral depending on a parameter and limit cycles
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 18:2 (1984),  14–25
35. The topology of caustics, wave fronts, and degeneracies of critical points
A. N. Varchenko, S. M. Gusein-Zade
Uspekhi Mat. Nauk, 39:2(236) (1984),  141–142
36. Semicontinuity of the complex singularity index
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 17:4 (1983),  77–78
37. Number of lattice points in families of homothetic domains in $\mathbb{R}^n$
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 17:2 (1983),  1–6
38. Asymptotic behaviors of integrals, and Hodge structures
A. N. Varchenko
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 22 (1983),  130–166
39. Mapping of periods and intersection form
A. N. Varchenko, A. B. Givental'
Funktsional. Anal. i Prilozhen., 16:2 (1982),  7–20
40. The complex exponent of a singularity does not change along strata $\mu=\mathrm{const}$
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 16:1 (1982),  1–12
41. On the number of integral points in a domain
A. N. Varchenko
Uspekhi Mat. Nauk, 37:3(225) (1982),  177–178
42. Asymptotic Hodge structure in the vanishing cohomology
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 45:3 (1981),  540–591
43. Obstructions to local equivalence of distributions
A. N. Varchenko
Mat. Zametki, 29:6 (1981),  939–947
44. Hodge properties of Gauss–Manin connectivities
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 14:1 (1980),  46–47
45. A formula for the ranks of the homology groups of the boundary of an isolated singularity of a surface in $\mathbb{C}^3$ and the Newton diagram
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 13:1 (1979),  65–66
46. The integrality of the limit of the curvature integral along the boundary of an isolated singularity of a surface in $C^3$
A. N. Varchenko
Uspekhi Mat. Nauk, 33:6(204) (1978),  199–200
47. Newton polyhedra and estimation of oscillating integrals
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 10:3 (1976),  13–38
48. A theorem on topological versal deformation
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 39:2 (1975),  294–314
49. Local topological properties of differentiable mappings
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 38:5 (1974),  1037–1090
50. The relation between topological and algebro-geometric equisingularities according to Zariski
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 7:2 (1973),  1–5
51. Local topological properties of analytic mappings
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 37:4 (1973),  883–916
52. The germs of differentiable mappings whose topological type is determined by a finite jet
A. N. Varchenko
Uspekhi Mat. Nauk, 28:3(171) (1973),  175–176
53. On the germs of analytic mappings whose topological type is determined by a finite jet
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 6:3 (1972),  63–64
54. Theorems on the topological equisingularity of families of algebraic varieties and families of polynomial mappings
A. N. Varchenko
Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972),  957–1019
55. A theorem on the equisingularity of families of algebraic varieties
A. N. Varchenko
Uspekhi Mat. Nauk, 26:1(157) (1971),  217–218
56. On the bifurcation of multiple integrals depending on a parameter
A. N. Varchenko
Funktsional. Anal. i Prilozhen., 3:4 (1969),  79–80

57. V. I. Arnold: 12.06.1937 – 03.06.2010
A. N. Varchenko, S. M. Gusein-Zade
Tr. Mosk. Mat. Obs., 72:1 (2011),  1–4
58. Sabir Medgidovich Gusein-Zade
S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ
Mosc. Math. J., 10:4 (2010),  831–832
59. Nikolai Nikolaevich Nekhoroshev (obituary)
A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko
Uspekhi Mat. Nauk, 64:3(387) (2009),  174–178
60. Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday
A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii
Tr. Mat. Inst. Steklova, 259 (2007),  5–9
61. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September, 30 – December, 9, 1987)
V. M. Kharlamov, A. N. Varchenko, V. M. Petkov, Ya. G. Sinai, K. M. Khanin, S. Yu. Dobrokhotov, A. B. Givental', V. A. Dobrynin
Uspekhi Mat. Nauk, 43:3(261) (1988),  239–245
62. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
L. V. Keldysh, N. V. Nikolenko, A. N. Varchenko, A. S. Kalashnikov, V. L. Berdichevsky, D. G. Vasil'ev, V. B. Lidskii, A. I. Vol'pert, V. M. Kamenkovich
Uspekhi Mat. Nauk, 37:5(227) (1982),  221–226
63. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
V. I. Arnol'd, A. L. Gol'denveizer, V. B. Lidskii, I. M. Krichever, A. N. Varchenko, R. L. Dobrushin, A. A. Barmin, S. V. Manakov, V. A. Malyshev, R. A. Minlos, L. D. Faddeev
Uspekhi Mat. Nauk, 33:2(200) (1978),  225–231

Presentations in Math-Net.Ru
1. Real algebraic geometry and integrable systems. Lecture 3
A. N. Varchenko
Summer School on Geometry and Mathematical Physics 2012
June 27, 2012 11:20   
2. Real algebraic geometry and integrable systems. Lecture 2
A. N. Varchenko
Summer School on Geometry and Mathematical Physics 2012
June 26, 2012 09:40   
3. Real algebraic geometry and integrable systems. Lecture 1
A. N. Varchenko
Summer School on Geometry and Mathematical Physics 2012
June 25, 2012 14:30   

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018