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Zotov, Andrei Vladimirovich

Total publications: 88 (87)
in MathSciNet: 69 (69)
in zbMATH: 36 (36)
in Web of Science: 73 (73)
in Scopus: 77 (77)
Cited articles: 77
Citations: 999
Presentations: 112

Number of views:
This page:6551
Abstract pages:16886
Full texts:3024
References:1347
Doctor of physico-mathematical sciences (2013)
E-mail:

https://www.mathnet.ru/eng/person20736
https://scholar.google.com/citations?user=ZDbcAskAAAAJ&hl=en
https://zbmath.org/authors/ai:zotov.andrei-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/678876
https://elibrary.ru/author_items.asp?spin=5934-1439
https://orcid.org/0000-0002-6833-7297
https://www.webofscience.com/wos/author/record/Q-4899-2016
https://www.scopus.com/authid/detail.url?authorId=35448469200
https://www.researchgate.net/profile/Andrei_Zotov2

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. A. V. Zotov, “On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion”, Funkts. analiz i ego pril. (to appear)  mathnet
2. A. V. Zotov, R. A. Potapov, TMF (to appear)  mathnet

   2024
3. M. Matushko, A. Zotov, “Supersymmetric generalization of $q$-deformed long-range spin chains of Haldane–Shastry type and trigonometric $\mathrm{GL}(N|M)$ solution of associative Yang–Baxter equation”, Nuclear Phys. B, 1001 (2024), 116499 , 14 pp., arXiv: 2312.04525  mathnet  crossref  isi;
4. K. R. Atalikov, A. V. Zotov, “Gauge equivalence of $1+1$ Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model”, Theoret. and Math. Phys., 219:3 (2024), 1004–1017  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
5. Andrei Zotov, “Non-ultralocal classical $r$-matrix structure for $1+1$ field analogue of elliptic Calogero–Moser model”, J. Phys. A, 57 (2024), 315201 , 28 pp., arXiv: 2404.01898  mathnet  crossref  isi;

   2023
6. M. Matushko, A. Zotov, “Elliptic generalisation of integrable $q$-deformed anisotropic Haldane–Shastry long-range spin chain”, Nonlinearity, 36:1 (2023), 319 , 36 pp., arXiv: 2202.01177  mathnet  crossref  mathscinet; 3
7. JETP Letters, 117:8 (2023), 630–634  mathnet  crossref  crossref
8. K. R. Atalikov, A. V. Zotov, “Higher-rank generalization of the 11-vertex rational $R$-matrix: IRF–vertex relations and the associative Yang–Baxter equation”, Theoret. and Math. Phys., 216:2 (2023), 1083–1103 , arXiv: 2303.02391  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
9. M. Matushko, Andrei Zotov, “Anisotropic spin generalization of elliptic Macdonald–Ruijsenaars operators and $R$-matrix identities”, Ann. Henri Poincaré, 24 (2023), 3373–3419 , arXiv: 2201.05944  mathnet  crossref  mathscinet; 3

   2022
10. A. Gorsky, M. Vasilyev, A. Zotov, “Dualities in quantum integrable many-body systems and integrable probabilities. Part I”, JHEP, 2022:4 (2022), 159 , 86 pp., arXiv: 2109.05562  mathnet  crossref  mathscinet  scopus; 5
11. A. Levin, M. Olshanetsky, A. Zotov, “2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles”, Eur. Phys. J. C, Part. Fields, 82 (2022), 635 , 14 pp., arXiv: 2202.10106  mathnet  crossref; 5
12. A. Zabrodin, A. Zotov, “Field analogue of the Ruijsenaars–Schneider model”, JHEP, 2022:7 (2022), 23 , 51 pp., arXiv: 2107.01697  mathnet  crossref  scopus; 7
13. K. Atalikov, A. Zotov, “Higher Rank 1 + 1 Integrable Landau–Lifshitz Field Theories from the Associative Yang–Baxter Equation”, JETP Letters, 115 (2022), 757-762 , arXiv: 2204.12576  mathnet  crossref  crossref  scopus
14. E. Trunina, A. Zotov, “Lax equations for relativistic $\mathrm{G}\mathrm{L}(NM,\mathbb{C})$ Gaudin models on elliptic curve”, J. Phys. A, 55:39 (2022), 395202 , 31 pp., arXiv: 2204.06137  mathnet  crossref  mathscinet; 2
15. M. G. Matushko, A. V. Zotov, “On the $R$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operators”, Theoret. and Math. Phys., 213:2 (2022), 1543–1559 , arXiv: 2211.08529  mathnet  crossref  crossref  mathscinet  adsnasa  scopus

   2021
16. K. Atalikov, A. Zotov, “Field theory generalizations of two-body Calogero–Moser models in the form of Landau–Lifshitz equations”, J. Geom. Phys., 164 (2021), 104161 , 14 pp., arXiv: 2010.14297  mathnet  crossref  mathscinet  isi  scopus;  mathscinet 6
17. A. Grekov, A. Zotov, “Characteristic determinant and Manakov triple for the double elliptic integrable system”, SciPost Phys., 10:3 (2021), 055 , 34 pp., arXiv: 2010.08077  mathnet  crossref  mathscinet  adsnasa  isi  scopus;  mathscinet 4
18. I. A. Sechin, A. V. Zotov, Theoret. and Math. Phys., 208:2 (2021), 1156–1164 , arXiv: 2104.04963  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
19. E. S. Trunina, A. V. Zotov, “Multi-pole extension of the elliptic models of interacting integrable tops”, Theoret. and Math. Phys., 209:1 (2021), 1331–1356 , arXiv: 2104.08982  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
20. A. Levin, M. Olshanetsky, A. Zotov, “Generalizations of parabolic Higgs bundles, real structures, and integrability”, J. Math. Phys., 62:10 (2021), 103502 , 28 pp., arXiv: 2012.15529  mathnet  crossref  adsnasa  isi  scopus; 1
21. A. Grekov, A. Zotov, “On Cherednik and Nazarov–Sklyanin large $N$ limit construction for integrable many-body systems with elliptic dependence on momenta”, JHEP, 2021:12 (2021), 062 , 43 pp., arXiv: 2102.06853  mathnet  crossref  isi  scopus; 1

   2020
22. M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical duality for Gaudin magnets with boundary”, Nuclear Phys. B, 952 (2020), 114931 , 20 pp., arXiv: 1911.11792  mathnet  crossref  mathscinet  isi  scopus; 3
23. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202 , 16 pp., arXiv: 1910.05712  mathnet  crossref  mathscinet  adsnasa  isi  scopus; 1
24. N. Slavnov, A. Zabrodin, A. Zotov, “Scalar products of Bethe vectors in the 8-vertex model”, JHEP, 2020:6 (2020), 123 , 53 pp., arXiv: 2005.11224  mathnet  crossref  mathscinet  isi  scopus; 9
25. I. A. Sechin, A. V. Zotov, “Integrable system of generalized relativistic interacting tops”, Theoret. and Math. Phys., 205:1 (2020), 1292–1303 , arXiv: 2011.09599  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
26. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504 , 9 pp., arXiv: 1910.01814  mathnet  crossref  mathscinet  adsnasa  isi  scopus;
27. M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary”, J. Phys. A, 53:49 (2020), 494002 , 20 pp., arXiv: 2006.06717  mathnet  crossref  mathscinet  isi  scopus; 1
28. Sovremennye problemy matematicheskoi i teoreticheskoi fiziki, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Andreya Alekseevicha Slavnova, Trudy MIAN, 309, ed. A. K. Pogrebkov, N. A. Slavnov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, MIAN, M., 2020 , 346 pp.  mathnet

   2019
29. A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Phys. B, 939 (2019), 174–190 , arXiv: 1810.12658  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 6
30. Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, JETP Letters, 109:2 (2019), 136–143  mathnet  crossref  crossref  adsnasa  isi  elib  scopus
31. I. A. Sechin, A. V. Zotov, “${\rm GL}_{NM}$ quantum dynamical $R$-matrix based on solution of the associative Yang–Baxter equation”, Russian Math. Surveys, 74:4 (2019), 767–769 , arXiv: 1905.08724  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
32. T. Krasnov, A. Zotov, “Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation”, Ann. Henri Poincaré, 20:8 (2019), 2671–2697 , arXiv: 1812.04209  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 13
33. A. V. Zotov, “Relativistic interacting integrable elliptic tops”, Theoret. and Math. Phys., 201:2 (2019), 1563–1578 , arXiv: 1910.08246  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
34. A. Grekov, I. Sechin, A. Zotov, “Generalized model of interacting integrable tops”, JHEP, 2019:10 (2019), 81 , 33 pp., arXiv: 1905.07820  mathnet  crossref  mathscinet  zmath  isi  scopus 8
35. M. Vasilyev, A. Zotov, “On factorized Lax pairs for classical many-body integrable systems”, Rev. Math. Phys., 31:6 (2019), 1930002 , 45 pp., arXiv: 1804.02777  mathnet  crossref  mathscinet  zmath  isi  scopus 9

   2018
36. I. Sechin, A. Zotov, “R-matrix-valued Lax pairs and long-range spin chains”, Phys. Lett. B, 781 (2018), 1–7 , arXiv: 1801.08908  mathnet  crossref  mathscinet  isi  scopus 14
37. A. Grekov, A. Zotov, “On $R$-matrix valued Lax pairs for Calogero–Moser models”, J. Phys. A, 51 (2018), 315202 , 26 pp., arXiv: 1801.00245  mathnet  crossref  mathscinet  isi  scopus 6
38. A. V. Zabrodin, A. V. Zotov, “Self–dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian”, Nuclear Phys. B, 927 (2018), 550–565 , arXiv: 1711.01036  mathnet  crossref  mathscinet  isi  scopus 8
39. A. V. Zotov, “Calogero–Moser model and $R$-matrix identities”, Theoret. and Math. Phys., 197:3 (2018), 1755–1770  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
40. S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509 , 36 pp., arXiv: 1712.08851  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 11

   2017
41. A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A, 50 (2017), 205202 , 12 pp., arXiv: 1701.06074  mathnet  crossref  mathscinet  isi  scopus 8
42. A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, “Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles”, Theoret. and Math. Phys., 192:2 (2017), 1141–1153 , arXiv: 1611.02497  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
43. A. Zabrodin, A. Zotov, “QKZ–Ruijsenaars correspondence revisited”, Nuclear Phys. B, 922 (2017), 113–125 , arXiv: 1704.04527  mathnet  crossref  isi  elib  scopus 7
44. JETP Letters, 106:3 (2017), 179–183  mathnet  crossref  crossref  adsnasa  isi  elib  scopus
45. A. Zotov, “Relativistic elliptic matrix tops and finite Fourier transformations”, Modern Phys. Lett. A, 32:32 (2017), 1750169 , 22 pp., arXiv: 1706.05601  mathnet  crossref  mathscinet  isi  scopus 7

   2016
46. A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A: Math. Theor., 49:1 (2016), 14003 , 19 pp., Exactly Solved Models and Beyond: a special issue in honour of R. J. Baxter's 75th birthday, arXiv: 1507.02617  mathnet  crossref  mathscinet  zmath  isi  scopus 7
47. M. Beketov, A. Liashyk, A. Zabrodin, A. Zotov, “Trigonometric version of quantum–classical duality in integrable systems”, Nuclear Phys. B, 903 (2016), 150–163 , arXiv: 1510.07509  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18
48. Ivan Sechin, Andrei Zotov, “Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices”, J. Math. Phys., 57:5 (2016), 53505 , 14 pp., arXiv: 1511.08761  mathnet  crossref  mathscinet  isi  elib  scopus 5
49. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations”, Theoret. and Math. Phys., 188:2 (2016), 1121–1154 , arXiv: 1507.04265  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
50. Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202 , 26 pp., arXiv: 1603.06101  mathnet  crossref  mathscinet  isi  elib  scopus 12
51. A. V. Zotov, “Higher-order analogues of the unitarity condition for quantum $R$-matrices”, Theoret. and Math. Phys., 189:2 (2016), 1554–1562  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2015
52. G. Aminov, H. W. Braden, A. Mironov, A. Morozov, A. Zotov, “Seiberg-Witten curves and double-elliptic integrable systems”, J. High Energy Phys., 2015, no. 1, 033 , 15 pp., arXiv: 1410.0698  mathnet  crossref  mathscinet  isi  elib  scopus 16
53. G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, JETP Letters, 101:9 (2015), 648–655  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
54. A. Zabrodin, A. Zotov, “Classical-quantum correspondence and functional relations for Painlevé equations”, Constr. Approx., 41:3 (2015), 385–423 , arXiv: 1212.5813  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 4
55. Zengo Tsuboi, Anton Zabrodin, Andrei Zotov, “Supersymmetric quantum spin chains and classical integrable systems”, J. High Energy Phys., 2015, no. 5, 086 , 43 pp., arXiv: 1412.2586  mathnet  crossref  mathscinet  isi  elib  scopus 14
56. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI”, Theoret. and Math. Phys., 184:1 (2015), 924–939 , arXiv: 1501.07351  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus

   2014
57. A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”, J. High Energy Phys., 2014, no. 1, 070 , 28 pp., arXiv: 1310.6958  mathnet  crossref  mathscinet  zmath  isi  scopus 25
58. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Russian Math. Surveys, 69:1 (2014), 35–118 , arXiv: 1311.4498  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
59. G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, “Rational top and its classical $r$-matrix”, J. Phys. A: Math. Theor., 47:30 (2014), 305207 , 19 pp., arXiv: 1402.3189  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 19
60. A. Levin, M. Olshanetsky, A. Zotov, “Relativistic classical integrable tops and quantum $R$-matrices”, J. High Energy Phys., 2014, no. 7, 012 , arXiv: 1405.7523  mathnet  crossref  isi  elib  scopus 30
61. A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix”, Nuclear Physics B, 887 (2014), 400–422 , arXiv: 1406.2995  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 20
62. A. Levin, M. Olshanetsky, A. Zotov, “Planck constant as spectral parameter in integrable systems and KZB equations”, JHEP, 2014, no. 10, 109 , 29 pp., arXiv: 1408.6246v2  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 22

   2013
63. JETP Letters, 97:1 (2013), 45–51  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
64. A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral duality between Heisenberg chain and Gaudin model”, Lett. Math. Phys., 103:3 (2013), 299–329 , arXiv: 1206.6349  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 59
65. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes of $\mathrm{SL}(N,\mathbb C)$-bundles and quantum dynamical elliptic $R$-matrices”, J. Phys. A: Math. Theor., 46:3 (2013), 035201 , 25 pp., arXiv: 1208.5750  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 17
66. A. V. Zotov, A. V. Smirnov, “Modifications of bundles, elliptic integrable systems, and related problems”, Theoret. and Math. Phys., 177:1 (2013), 1281–1338  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
67. G. Aminov, A. Mironov, A. Morozov, A. Zotov, “Three-particle integrable systems with elliptic dependence on momenta and theta function identities”, Phys. Lett. B, 726:4-5 (2013), 802–808 , arXiv: 1307.1465  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus 17
68. A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral dualities in XXZ spin chains and five dimensional gauge theories”, J. High Energy Phys., 2013, no. 12, 034 , 11 pp., arXiv: 1307.1502  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 37

   2012
69. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44 , arXiv: 1006.0702  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18
70. A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence for Painlevé VI”, J. Math. Phys., 53:7 (2012), 073508 , 19 pp., arXiv: 1107.5672  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 20
71. A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence”, J. Math. Phys., 53:7 (2012), 073507 , 19 pp., arXiv: 1107.5672  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus 28
72. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Calogero-Moser systems for simple Lie groups and characteristic classes of bundles”, J. Geom. Phys., 62:8 (2012), 1810–1850 , arXiv: 1007.4127  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18
73. Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, “Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles”, SIGMA, 8 (2012), 095 , 37 pp., arXiv: 1207.4386  mathnet  crossref  mathscinet  zmath  isi  scopus 10

   2011
74. Andrei V. Zotov, “1+1 Gaudin Model”, SIGMA, 7 (2011), 067 , 26 pp., arXiv: 1012.1072  mathnet  crossref  mathscinet  zmath  isi  scopus 13

   2009
75. Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov, “Monopoles and Modifications of Bundles over Elliptic Curves”, SIGMA, 5 (2009), 065 , 22 pp., arXiv: 0811.3056  mathnet  crossref  mathscinet  zmath  isi  scopus 9

   2008
76. A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, Theoret. and Math. Phys., 156:2 (2008), 1103–1122 , arXiv: 0710.1072  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2007
77. A. Levin, A. Zotov, “On rational and elliptic forms of Painlevé VI equation”, Moscow Seminar on Mathematical Physics. II, Amer. Math. Soc. Transl. Ser. 2, 221, Amer. Math. Soc., Providence, RI, 2007, 173–183  crossref  mathscinet  zmath 6

   2006
78. A. V. Zotov, A. M. Levin, “Integrable Model of Interacting Elliptic Tops”, Theoret. and Math. Phys., 146:1 (2006), 45–52  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
79. Yu. Chernyakov, A. M. Levin, M. Olshanetsky, A. Zotov, “Elliptic Schlesinger system and Painlevé VI”, J. Phys. A: Math. Gen., 39:39 (2006), 12083–12101 , arXiv: nlin/0602043  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18
80. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Painlevé VI, rigid tops and reflection equation”, Comm. Math. Phys., 268:1 (2006), 67–103 , arXiv: math/0508058  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 29
81. A. V. Zotov, “Classical integrable systems and their field-theoretical generalizations”, Physics of Particles and Nuclei, 37:3 (2006), 400-443  crossref  mathscinet  adsnasa  isi  scopus

   2005
82. M. A. Olshanetsky, A. V. Zotov, “Isomonodromic problems on elliptic curve, rigid tops and reflection equations”, Elliptic Integrable Systems, Rokko Lectures in Mathematics, 18, eds. M. Noumi, K. Takasaki, Kobe University, Japan, 2005, 149-172 http://www.math.kobe-u.ac.jp/publications/rlm18/10.pdf

   2004
83. A. Zotov, “Elliptic linear problem for the Calogero-Inozemtsev model and Painlevé VI equation”, Lett. Math. Phys., 67:2 (2004), 153–165 , arXiv: hep-th/0310260  crossref  mathscinet  zmath  adsnasa  isi  scopus 21

   2003
84. A. Zotov, “Elliptic linear problem for Painlevé VI equation with spectral parameter”, Quantum groups and integrable systems, Czechoslovak J. Phys., 53:11 (2003), 1147–1152  crossref  mathscinet  adsnasa  isi  scopus 1
85. H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky, A. V. Zotov, “Classical $r$-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions”, J. Phys. A, 36:25 (2003), 6979–7000 , arXiv: hep-th/0301121  crossref  mathscinet  zmath  adsnasa  isi  scopus 19
86. A. M. Levin, M. A. Olshanetsky, A. Zotov, “Hitchin systems—symplectic Hecke correspondence and two-dimensional version”, Comm. Math. Phys., 236:1 (2003), 93–133 , arXiv: nlin/0110045  crossref  mathscinet  zmath  adsnasa  isi  scopus 67

   2001
87. A. V. Zotov, Yu. B. Chernyakov, “Integrable Many-Body Systems via the Inosemtsev Limit”, Theoret. and Math. Phys., 129:2 (2001), 1526–1542  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
88. A. Zotov, “On relation between Weyl and Kontsevich quantum products. Direct evaluation up to the $\hslash^3$-order”, Modern Phys. Lett. A, 16:10 (2001), 615–625  crossref  mathscinet  adsnasa  isi  scopus 10

Presentations in Math-Net.Ru
1. Holomorphic bundles over elliptic curves and integrable systems
A. V. Zotov
Theory of Riemann surfaces: methods and applications
November 12, 2024 10:30
2. Lecture 10. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 24, 2024 11:30   
3. Lecture 9. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 17, 2024 11:30   
4. The associative Yang–Baxter equation and higher rank Landau–Lifshitz model
A. V. Zotov
Complex analysis and mathematical physics
April 11, 2024 16:00
5. Lecture 8. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 3, 2024 11:30   
6. Lecture 7. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 27, 2024 11:30   
7. Lecture 6. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 13, 2024 11:30   
8. Lecture 5. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 6, 2024 11:30   
9. Lecture 4. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 28, 2024 11:30   
10. Lecture 3. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 21, 2024 11:30   
11. Lecture 2. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 14, 2024 11:30   
12. Lecture 1. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 7, 2024 11:30   
13. Integrable systems and 1+1 field theories on elliptic curves and its degenerations
A. V. Zotov
International Conference "Fields & Strings 2024"
February 5, 2024 10:00   
14. Введение в интегрируемые системы (3)
A. V. Zotov
10th Youth Summer School-Conference on Geometric Methods of Mathematical Physics
July 12, 2023 09:30   
15. Введение в интегрируемые системы (2)
A. V. Zotov
10th Youth Summer School-Conference on Geometric Methods of Mathematical Physics
July 11, 2023 09:30   
16. Введение в интегрируемые системы (1)
A. V. Zotov
10th Youth Summer School-Conference on Geometric Methods of Mathematical Physics
July 10, 2023 15:00   
17. Lecture 10. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
April 11, 2023 14:45   
18. Lecture 9. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
April 4, 2023 14:45   
19. Lecture 8. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
March 28, 2023 14:45   
20. Lecture 7. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
March 21, 2023 14:45   
21. Lecture 6. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
March 14, 2023 14:45   
22. Lecture 5. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
March 7, 2023 14:45   
23. Integrable systems of interacting tops and $R$-matrix identities
A. V. Zotov
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
March 2, 2023 16:00   
24. Lecture 4. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
February 28, 2023 14:45   
25. Lecture 3. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
February 21, 2023 14:45   
26. Lecture 2. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
February 14, 2023 14:45   
27. Lecture 1. Introduction to Integrable Systems I
A. V. Zotov
Introduction to Integrable Systems
February 7, 2023 14:45   
28. R-матричные обобщения эллиптических функций и интегрируемые системы
A. V. Zotov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
September 14, 2022 18:30
29. Lecture 12. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 26, 2022 13:10   
30. Lecture 11. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 19, 2022 13:10   
31. Lecture 10. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 12, 2022 13:10   
32. Lecture 9. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 5, 2022 13:10   
33. Spin Macdonald–Ruijsenaars operators and quantum relativistic chains with long-range action
A. V. Zotov
Complex analysis and mathematical physics
March 22, 2022 16:00
34. Lecture 8. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 22, 2022 13:10   
35. Lecture 7. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 15, 2022 13:10   
36. Lecture 6. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 1, 2022 14:10   
37. Lecture 5. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 1, 2022 13:10   
38. Lecture 4. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 22, 2022 13:10   
39. Lecture 3. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 15, 2022 13:10   
40. Lecture 2. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 8, 2022 13:10   
41. Lecture 1. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 1, 2022 13:10   
42. Lecture 13. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
December 7, 2021 14:45   
43. Lecture 12. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
November 30, 2021 14:45   
44. Lecture 11. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
November 23, 2021 14:45   
45. Lecture 9. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
November 15, 2021 14:45   
46. Lecture 10. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
November 9, 2021 14:45   
47. Lecture 8. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
October 26, 2021 14:45   
48. Lecture 7. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
October 19, 2021 14:45   
49. Lecture 6. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
October 12, 2021 14:45   
50. Lecture 5. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
October 5, 2021 14:45
51. Lecture 4. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
September 28, 2021 14:45   
52. Lecture 3. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
September 21, 2021 14:45   
53. Lecture 2. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
September 14, 2021 14:45   
54. Lecture 1. Introduction to Integrable Systems II
A. V. Zotov
Introduction to Integrable Systems
September 7, 2021 14:45   
55. Integrable systems with elliptic dependence on momenta and related topics
A. V. Zotov
Beijing–Moscow Mathematics Colloquium
June 4, 2021 11:00
56. Lecture 14. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
May 25, 2021 13:35
57. Lecture 13. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
May 18, 2021 16:00   
58. Lecture 13. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
May 18, 2021 13:35
59. Lecture 12. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
May 11, 2021 16:00   
60. Lecture 12. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
May 11, 2021 13:35
61. Lecture 11. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
April 27, 2021 16:00   
62. Lecture 11. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 27, 2021 13:35
63. Lecture 10. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
April 20, 2021 16:00   
64. Lecture 10. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 20, 2021 13:35
65. Lecture 9. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
April 13, 2021 16:00   
66. Lecture 9. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 13, 2021 13:35
67. Lecture 8. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
April 6, 2021 16:00   
68. Lecture 8. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
April 6, 2021 13:35
69. Lecture 7. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
March 30, 2021 16:00   
70. Lecture 7. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 30, 2021 13:35
71. Lecture 6. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 23, 2021 13:35
72. Manakov's representation for a double elliptic system
A. V. Zotov
Complex analysis and mathematical physics
March 18, 2021 14:00
73. Lecture 6. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
March 16, 2021 16:00   
74. Lecture 5. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 16, 2021 13:35
75. Lecture 5. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
March 9, 2021 16:00   
76. Lecture 4. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 9, 2021 13:35
77. Lecture 4. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
March 2, 2021 16:00   
78. Lecture 3. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
March 2, 2021 13:35
79. Lecture 3. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
February 23, 2021 16:00   
80. Lecture 2. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
February 16, 2021 16:00   
81. Lecture 2. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 16, 2021 13:35
82. Lecture 1. Elliptic functions, R-matrix identities and integrable structures
A. V. Zotov
Course by A. V. Zotov "Elliptic functions, R-matrix identities and integrable structures"
February 9, 2021 16:00   
83. Lecture 1. Introduction to Integrable Systems
A. V. Zotov
Introduction to Integrable Systems
February 9, 2021 13:35
84. Характеристический детерминант и тройка Манакова для двойной эллиптической системы
A. V. Zotov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 9, 2020 14:00   
85. Лекция 11. Спектральная дуальность
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
August 8, 2020 16:30   
86. Лекция 10. Уравнения КЗ и системы частиц
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
August 7, 2020 16:00   
87. Лекция 9. Дуальность Руйсенарса 2
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
August 6, 2020 16:00   
88. Лекция 8. Дуальность Руйсенарса
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
August 5, 2020 16:00   
89. Лекция 7. Гамильтонова механика интегрируемых систем
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
March 24, 2020 16:00   
90. Лекция 6. Классические спиновые цепочки
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
March 17, 2020 16:00   
91. Семинар 5. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
March 10, 2020 18:00
92. Лекция 5. Классические модели Годена
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
March 10, 2020 16:00   
93. Interacting integrable tops and the associative Yang-Baxter equation
A. V. Zotov
Complex analysis and mathematical physics
March 5, 2020 14:00
94. Семинар 4. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
March 3, 2020 18:00
95. Лекция 4. Классические r-матрицы
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
March 3, 2020 16:00   
96. Семинар 3. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 25, 2020 18:00
97. Семинар 2. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 18, 2020 18:00
98. Лекция 2. Системы Калоджеро-Мозера и Руйсенарса-Шнайдера
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
February 18, 2020 16:00   
99. Семинар 1. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 11, 2020 18:00
100. Лекция 1. Эллиптические функции и уравнения Лакса
A. V. Zotov
Course by A. V. Zotov "Introduction to integrable systems and dualities"
February 11, 2020 16:00   
101. Ассоциативные уравнения Янга–Бакстера и классические интегрируемые системы
A. V. Zotov
Meetings of the Moscow Mathematical Society
April 23, 2019 18:30
102. Elliptic integrable systems and associative Yang-Baxter equation
A. V. Zotov
Automorphic forms and their applications
December 18, 2018 18:00   
103. Anisotropic extensions of quantum long-range spin chains
A. V. Zotov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 24, 2018 14:00
104. Квантово-классические дуальности в интегрируемых системах
A. V. Zotov
Steklov Mathematical Institute Seminar
April 20, 2017 16:00   
105. Quantum $R$-matrices and associative Yang–Baxter equation in classical integrable systems
A. V. Zotov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2016
November 16, 2016 11:00   
106. Associative Yang-Baxter equations and integrable systems
A. V. Zotov
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
October 22, 2015 14:00
107. Квантовые $R$-матрицы в классических интегрируемых системах
A. V. Zotov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 26, 2014 14:00
108. Quantum-Classical Dualiy in Integrable Systems and Related Problems
A. V. Zotov
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
December 5, 2013 14:00
109. Спектральные дуальности в интегрируемых системах
A. V. Zotov
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013
November 20, 2013 14:20   
110. Classical-quantum correspondence for Painleve equations
A. V. Zotov
Complex analysis and mathematical physics
April 22, 2013 17:00
111. Holomorphic bundles, integrable systems and related problems
A. V. Zotov
Complex analysis and mathematical physics
March 18, 2013 17:00
112. Эллиптические интегрируемые системы и уравнения Пенлеве: классификация, взаимосвязи и способы квантования
A. V. Zotov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 18, 2012 14:00

Books in Math-Net.Ru
  1. Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, ed. A. K. Pogrebkov, N. A. Slavnov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, 2020, 346 с.
    http://mi.mathnet.ru/book1783

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