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Reshetikhin, Nikolai Yur'evich

Doctor of physico-mathematical sciences
E-mail:
Website: http://math.berkeley.edu/~reshetik/

https://www.mathnet.ru/eng/person23885
https://ru.wikipedia.org/wiki/Reshetikhin, Nikolai Yurevich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/147195

Publications in Math-Net.Ru Citations
2021
1. O. V. Postnova, N. Yu. Reshetikhin, “On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras”, Zap. Nauchn. Sem. POMI, 509 (2021),  185–200  mathnet
2018
2. D. Keating, N. Reshetikhin, A. Sridhar, “Conformal limit for dimer models on the hexagonal lattice”, Zap. Nauchn. Sem. POMI, 473 (2018),  174–193  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 701–714  scopus
2015
3. N. Reshetikhin, “Degenerately integrable systems”, Zap. Nauchn. Sem. POMI, 433 (2015),  224–245  mathnet  mathscinet; J. Math. Sci. (N. Y.), 213:5 (2016), 769–785  scopus 22
2006
4. A. Yu. Okounkov, N. Yu. Reshetikhin, “The birth of a random matrix”, Mosc. Math. J., 6:3 (2006),  553–566  mathnet  mathscinet  zmath  isi 57
2001
5. N. Reshetikhin, A. Voronov, A. Weinstein, “Semiquantum geometry”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 34 (2001),  217–236  mathnet  mathscinet  zmath; J. Math. Sci., 82:1 (1996), 3255–3267 9
1993
6. A. N. Kirillov, N. Yu. Reshetikhin, “Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras”, Zap. Nauchn. Sem. POMI, 205 (1993),  30–37  mathnet  mathscinet  zmath; J. Math. Sci., 80:3 (1996), 1768–1772 9
1989
7. N. Yu. Reshetikhin, “Quasitriangular Hopf algebras and invariants of links”, Algebra i Analiz, 1:2 (1989),  169–188  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 491–513 8
8. N. Yu. Reshetikhin, L. A. Takhtadzhyan, L. D. Faddeev, “Quantization of Lie groups and Lie algebras”, Algebra i Analiz, 1:1 (1989),  178–206  mathnet  mathscinet  zmath; Leningrad Math. J., 1:1 (1990), 193–225 114
1988
9. A. N. Kirillov, N. Yu. Reshetikhin, “Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra”, Funktsional. Anal. i Prilozhen., 22:4 (1988),  84–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:4 (1988), 328–330  isi
10. N. Yu. Reshetikhin, “Bethe-ansats for $SO(N)$-invariant transfermatrices”, Zap. Nauchn. Sem. LOMI, 169 (1988),  122–140  mathnet  zmath 2
1987
11. A. N. Kirillov, N. Yu. Reshetikhin, “Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras”, Zap. Nauchn. Sem. LOMI, 160 (1987),  211–221  mathnet  zmath 3
1986
12. A. N. Kirillov, N. Yu. Reshetikhin, “Bethe ansatz and combinatorics of Young tableaux”, Zap. Nauchn. Sem. LOMI, 155 (1986),  65–115  mathnet  zmath; J. Soviet Math., 41:2 (1988), 925–955 92
13. S. V. Kerov, A. N. Kirillov, N. Yu. Reshetikhin, “Combinatorics Bethe ansats and representations of symmetric group”, Zap. Nauchn. Sem. LOMI, 155 (1986),  50–64  mathnet  zmath; J. Soviet Math., 41:2 (1988), 916–924 59
14. N. Yu. Reshetikhin, “Calculation of Bethe vectors norms for models with $SU(3)$-symmetry”, Zap. Nauchn. Sem. LOMI, 150 (1986),  196–213  mathnet 6
15. A. G. Izergin, V. E. Korepin, N. Yu. Reshetikhin, “Field carrelation functions for the one-dimensional Bose gas”, Zap. Nauchn. Sem. LOMI, 150 (1986),  26–36  mathnet 1
1985
16. N. Yu. Reshetikhin, “Integrable models of quantum one-dimensional magnets with $O(n)$ and $Sp(2k)$ symmetry”, TMF, 63:3 (1985),  347–366  mathnet  mathscinet; Theoret. and Math. Phys., 63:3 (1985), 555–569  isi 107
17. N. Yu. Reshetikhin, “Hamiltonian structures for integrable field theory models. II. Models with $O(n)$ and $Sp(2k)$ symmetry on a one-dimensional lattice”, TMF, 63:2 (1985),  197–207  mathnet  mathscinet; Theoret. and Math. Phys., 63:2 (1985), 455–462  isi 7
18. A. N. Kirillov, N. Yu. Reshetikhin, “On the properties of integral kernels for the $XXZ$–model of arbitrary spin”, Zap. Nauchn. Sem. LOMI, 146 (1985),  47–91  mathnet  mathscinet  zmath
19. A. N. Kirillov, N. Yu. Reshetikhin, “A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin”, Zap. Nauchn. Sem. LOMI, 146 (1985),  31–46  mathnet  mathscinet  zmath
20. A. N. Kirillov, N. Yu. Reshetikhin, “Exact solution of the $XXZ$ Heisenberg model of spin $S$”, Zap. Nauchn. Sem. LOMI, 145 (1985),  109–133  mathnet  mathscinet  zmath 1
1984
21. P. P. Kulish, N. Yu. Reshetikhin, “Integrable fermion chiral models, connected with the classical Lie algebras”, Zap. Nauchn. Sem. LOMI, 133 (1984),  146–159  mathnet  mathscinet  zmath 2
1983
22. N. Yu. Reshetikhin, L. D. Faddeev, “Hamiltonian structures for integrable models of field theory”, TMF, 56:3 (1983),  323–343  mathnet  mathscinet; Theoret. and Math. Phys., 56:3 (1983), 847–862  isi 31
23. V. I. Vichirko, N. Yu. Reshetikhin, “Excitation spectrum of the anisotropic generalization of an $SU_3$ magnet”, TMF, 56:2 (1983),  260–271  mathnet  mathscinet; Theoret. and Math. Phys., 56:2 (1983), 805–812  isi 37
24. N. Yu. Reshetikhin, F. A. Smirnov, “Quantum Floquet functions”, Zap. Nauchn. Sem. LOMI, 131 (1983),  128–141  mathnet  mathscinet 3
25. N. Yu. Reshetikhin, “Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras”, Zap. Nauchn. Sem. LOMI, 123 (1983),  112–125  mathnet  mathscinet  zmath
1982
26. P. P. Kulish, N. Yu. Reshetikhin, “On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems”, Zap. Nauchn. Sem. LOMI, 120 (1982),  92–121  mathnet  mathscinet 19
1981
27. P. P. Kulish, N. Yu. Reshetikhin, “Quantum linear problem for the sine-Gordon equation and higher representations”, Zap. Nauchn. Sem. LOMI, 101 (1981),  101–110  mathnet  mathscinet; J. Soviet Math., 23:4 (1983), 2435–2441 342

2017
28. I. Ya. Aref'eva, V. E. Zakharov, V. V. Kozlov, I. M. Krichever, V. P. Maslov, S. P. Novikov, A. M. Polyakov, N. Yu. Reshetikhin, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, L. A. Takhtajan, S. L. Shatashvili, “Ludwig Dmitrievich Faddeev (obituary)”, Uspekhi Mat. Nauk, 72:6(438) (2017),  191–196  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:6 (2017), 1157–1163  isi

Presentations in Math-Net.Ru
1. Димерные модели в статистической механике
N. Yu. Reshetikhin
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024
July 24, 2024 11:15   
2. On stratified structure of integrable dynamics
N. Yu. Reshetikhin
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 29, 2024 10:30   
3. Integrable systems on moduli spaces of flat connections over surfaces
N. Yu. Reshetikhin
Sino-Russian Hybrid Conference "Geometry and Physics"
August 30, 2023 10:00   
4. Статистика неразложимых компонент в больших тензорных степенях представлений
N. Reshetikhin
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
June 19, 2023 16:00   
5. On superintegrability
N. Yu. Reshetikhin
Joint Mathematical seminar of Saint Petersburg State University and Peking University
May 11, 2023 15:00
6. О суперинтегрируемых системах
N. Yu. Reshetikhin
Differential geometry and applications
November 14, 2022 16:45
7. Spin Calogero-Moser system and two dimensional Yang-Mills theory with corners
N. Yu. Reshetikhin
International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov
June 3, 2022 10:00   
8. On tensor powers of representations of quantum groups at roots of unity
N. Yu. Reshetikhin
New Perspectives in Asymptotic Representation Theory. In memory of Sergei Kerov (1946–2000)
August 23, 2021 15:00   
9. On multiplicities of irreducible components in large tensor powers of representations of simple Lie groups
N. Yu. Reshetikhin
St. Petersburg Seminar on Representation Theory and Dynamical Systems
November 28, 2018 17:00
10. Квазиклассический анализ квантовых интегрируемых систем и Пуассонова сигма модель
N. Yu. Reshetikhin
Globus Seminar
May 31, 2018 15:40   
11. Hamiltonian structure of first order classical field theories
N. Reshetikhin
Mathematics - XXI century. PDMI 70th anniversary
September 16, 2010 14:40   
12. A survey on the problems of deformation quantization
N. Yu. Reshetikhin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
January 14, 1999

Organisations
 
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