Edit Profile (opens in new tab) Reshetikhin, Nikolai Yu. Co-Author Distance Author ID: reshetikhin.nikolai-yu Published as: Reshetikhin, Nicolai; Reshetikhin, N. Yu.; Reshetikhin, N.; Reshetikhin, Nikolai; Reshetikhin, Nikolai Yu. more...less External Links: MGP · Wikidata · GND Documents Indexed: 147 Publications since 1979, including 1 Book and 12 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 88 Co-Authors with 118 Joint Publications 3,099 Co-Co-Authors all top 5 Co-Authors 31 single-authored 19 Kirillov, Anatol N. 8 Cattaneo, Alberto Sergio 8 Mnëv, Pavel 7 Frenkel, Edward V. 7 Stokman, Jasper V. 6 Kashaev, Rinat M. 6 Kulish, Petr Petrovich 5 Bazhanov, Vladimir V. 5 Takhtajan, Leon Armenovich 4 Mattes, Josef 4 Okun’kov, Andreĭ Yur’evich 4 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 4 Sridhar, Ananth 4 Vlaar, Bart 3 Faddeev, Lyudvig Dmitrievich 3 Lakshmibai, Venkatramani 2 Andersen, Jørgen Ellegaard 2 Cimasoni, David 2 De Concini, Corrado 2 Frenkel, Igor B. 2 Geer, Nathan 2 Hernandez, David 2 Keating, David A. 2 Kerov, Sergei V. 2 Polyak, Michael 2 Postnova, Olga V. 2 Sklyanin, Evgeny K. 2 Smirnov, Fedor A. 2 Turaev, Vladimir Georgievich 2 Vershik, Anatoliĭ Moiseevich 2 Yakimov, Milen T. 1 Allison, David 1 Apushkinskaya, Darya E. 1 Aref’eva, Irina Yaroslavna 1 Arthamonov, Semeon 1 Baxter, Rodney J. 1 Belov, Pavel A. 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Blanchet, Christian 1 Bobenko, Alexander Ivanovich 1 Bourgain, Jean 1 Boutillier, Cédric 1 Chen, Qingtao 1 Conder, Marston Donald Edward 1 Connes, Alain 1 Daskalopoulos, Panagiota 1 De Clercq, Hadewijch 1 de la Harpe, Pierre 1 Di Francesco, Philippe 1 Dumbaugh, Della 1 Evans, David E. 1 Feĭgin, Boris L’vovich 1 Flato, Moshé 1 Freedman, Michael Hartley 1 Ginzburg, Victor 1 Goodman, Fred J. 1 Guionnet, Alice 1 Haghighat, Babak 1 Hoffmann, Tim 1 Its, Alexander Rudolfovich 1 Izumi, Masaki 1 Jaffe, Arthur Michael 1 Kapitanski, Lev 1 Kawahigashi, Yasuyuki 1 Kellendonk, Johannes 1 Kesten, Harry 1 Kirby, Robion Cromwell 1 Kitanine, Nikolai 1 Koelink, Erik 1 Kolb, Stefan 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Kutz, Nadja 1 Lehrer, Gustav Isaac 1 Lepowsky, James 1 Liu, Yihua 1 Longo, Roberto 1 Martin, Gaven J. 1 Maslov, Viktor Pavlovich 1 Mkrtchyan, Sevak 1 Nazarov, Alexander I. 1 Nepomechie, Rafael I. 1 Novikov, Sergeĭ Petrovich 1 Orlando, Domenico 1 Palamarchuk, K. 1 Patureau-Mirand, Bertrand 1 Polyakov, Aleksandr Markovich 1 Popa, Sorin Teodor 1 Procesi, Claudio 1 Ratcliffe, John G. 1 Reffert, Susanne 1 Rosso, Marc 1 Sally, Paul J. jun. 1 Schrader, Gus 1 Shatashvili, Samson L. 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Stroppel, Catharina H. 1 Sutherland, Colin E. ...and 12 more Co-Authors all top 5 Serials 26 Communications in Mathematical Physics 14 Letters in Mathematical Physics 9 Journal of Soviet Mathematics 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 5 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Sciences (New York) 3 Inventiones Mathematicae 3 Notices of the American Mathematical Society 3 Journal of Physics A: Mathematical and Theoretical 2 Nuclear Physics. B 2 Advances in Mathematics 2 Leningrad Mathematical Journal 2 IMRN. International Mathematics Research Notices 2 Annales Henri Poincaré 2 Contemporary Mathematics 1 International Journal of Modern Physics A 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Topology 1 Journal of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Knot Theory and its Ramifications 1 Zapiski Nauchnykh Seminarov POMI 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 Pure and Applied Mathematics Quarterly all top 5 Fields 72 Quantum theory (81-XX) 70 Nonassociative rings and algebras (17-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Associative rings and algebras (16-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Topological groups, Lie groups (22-XX) 19 Differential geometry (53-XX) 16 Manifolds and cell complexes (57-XX) 14 Partial differential equations (35-XX) 13 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 8 Algebraic geometry (14-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 History and biography (01-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of particles and systems (70-XX) 5 Special functions (33-XX) 4 Category theory; homological algebra (18-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 4,795 times in 3,449 Documents Cited by ▼ Year ▼ Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007 Reshetikhin, N.; Turaev, V. G. 562 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003 Reshetikhin, N. Yu.; Turaev, V. G. 412 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015 Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 319 1990 Yang-Baxter equation and representation theory. I. Zbl 0502.35074 Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K. 261 1981 Quantum affine algebras and holonomic difference equations. Zbl 0760.17006 Frenkel, I. B.; Reshetikhin, N. Yu. 217 1992 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134 Okounkov, Andrei; Reshetikhin, Nikolai 189 2003 The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015 Frenkel, Edward; Reshetikhin, Nicolai 166 1999 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006 Reshetikhin, N. 152 1990 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080 Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 138 2006 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103 Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 119 1994 Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082 Kulish, P. P.; Reshetikhin, N. Yu. 104 1983 Quantum R-matrices and factorization problems. Zbl 0711.17008 Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 101 1988 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014 Kirillov, A. N.; Reshetikhin, N. 99 1990 Central extensions of quantum current groups. Zbl 0692.22011 Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 94 1990 Representations of the algebra \(U_ q(sl(2))\), \(q\)-orthogonal polynomials and invariants of links. Zbl 0742.17018 Kirillov, A. N.; Reshetikhin, N. Yu. 92 1989 Classical BV theories on manifolds with boundary. Zbl 1302.81141 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 83 2014 Random skew plane partitions and the Pearcey process. Zbl 1115.60011 Okounkov, Andrei; Reshetikhin, Nicolai 71 2007 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024 Bazhanov, V. V.; Reshetikhin, N. 70 1990 Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014 Frenkel, Edward; Reshetikhin, Nikolai 69 1996 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008 Kulish, P. P.; Reshetikhin, N. Yu. 67 1989 Quantization of Lie groups and Lie algebras. Zbl 0677.17010 Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 66 1989 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029 Kirillov, A. N.; Reshetikhin, N. Yu. 57 1988 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011 Frenkel, Edward; Reshetikhin, Nicolai 57 1998 Dimers on surface graphs and spin structures. I. Zbl 1135.82006 Cimasoni, David; Reshetikhin, Nicolai 51 2007 Critical RSOS models and conformal field theory. Zbl 0693.58046 Bazhanov, V. V.; Reshetikhin, N. Yu. 50 1989 The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006 Reshetikhin, N. Yu. 48 1987 The birth of a random matrix. Zbl 1130.15014 Okounkov, Andrei; Reshetikhin, Nicolai 43 2006 Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047 Kirillov, A. N.; Reshetikhin, N. Yu. 39 1987 Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 39 2018 Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077 Reshetikhin, N.; Smirnov, F. 37 1990 Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025 Kirillov, A. N.; Reshetikhin, N. Yu. 35 1986 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306 Allison, David; Reshetikhin, Nicolai 34 2005 Lectures on the integrability of the six-vertex model. Zbl 1202.82022 Reshetikhin, N. 31 2010 The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016 Reshetikhin, Nicolai 30 1992 The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027 Kirillov, A. N.; Reshetikhin, N. Yu. 28 1986 Quantization of the algebra of chord diagrams. Zbl 0943.57007 Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 26 1998 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024 Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 26 1986 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015 Reshetikhin, N. 26 1992 Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra. Zbl 0916.17020 Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A. 25 1998 Quantum groups and flag varieties. Zbl 0818.17018 Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 25 1994 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028 Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 24 1988 Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029 Kirillov, A. N.; Reshetikhin, N. Yu. 24 1986 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009 Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 23 1996 Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras. Zbl 0637.16007 Kirillov, A. N.; Reshetikhin, N. Yu. 21 1987 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074 Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 21 2000 Degenerately integrable systems. Zbl 1369.70035 Reshetikhin, N. 20 2016 Quantum flag and Schubert schemes. Zbl 0792.17012 Lakshmibai, V.; Reshetikhin, N. 19 1992 Deformation quantization of Kähler manifolds. Zbl 1003.53061 Reshetikhin, N.; Takhtajan, L. A. 19 2000 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093 Reshetikhin, N. Yu. 19 1991 Hopf algebras with trace and representations. Zbl 1132.17007 De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 18 2005 Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016 Reshetikhin, N. Yu. 18 1990 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058 Reshetikhin, N. 18 2003 Dimers on surface graphs and spin structures. II. Zbl 1168.82012 Cimasoni, David; Reshetikhin, Nicolai 17 2008 Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116 Bazhanov, V.; Bobenko, A.; Reshetikhin, N. 14 1996 Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007 Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter 14 2012 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024 Reshetikhin, N. 14 1991 Limit shapes of the stochastic six vertex model. Zbl 1400.82055 Reshetikhin, Nicolai; Sridhar, Ananth 14 2018 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083 Reshetikhin, Nicolai 13 2017 Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009 Reshetikhin, N. 12 1995 \(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution. Zbl 1223.81132 Reshetikhin, N. Yu. 12 1985 Lectures on quantization of gauge systems. Zbl 1235.83004 Reshetikhin, N. 12 2010 Integrability of limit shapes of the six vertex model. Zbl 1377.82022 Reshetikhin, Nicolai; Sridhar, Ananth 12 2017 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 11 2015 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043 Reshetikhin, N. 10 2003 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026 Reshetikhin, N. Yu. 10 1991 Semiclassical quantization of classical field Theories. Zbl 1315.81095 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 10 2015 Quantization of Lie bialgebras. Zbl 0760.17012 Reshetikhin, N. 9 1992 Remarks on the quantum dilogarithm. Zbl 0876.17035 Bazhanov, V. V.; Reshetikhin, N. Yu. 9 1995 Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008 Kirillov, A. N.; Reshetikhin, N. Yu. 9 1993 Folded quantum integrable models and deformed \(W\)-algebras. Zbl 1513.81077 Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai 9 2022 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035 Postnova, Olga; Reshetikhin, Nicolai 9 2020 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512 Reshetikhin, N. Yu.; Saleur, H. 8 1994 Asymptotic shapes with free boundaries. Zbl 1234.05051 Di Francesco, Philippe; Reshetikhin, Nicolai 8 2012 Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063 Kulish, P. P.; Reshetikhin, N. Yu. 8 1979 Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011 Reshetikhin, Nicolai; Vertman, Boris 8 2015 The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013 Reshetikhin, N. Yu. 7 1988 Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041 Kashaev, R. M.; Reshetikhin, N. 7 1997 Semiquantum geometry. Zbl 0896.17004 Reshetikhin, N.; Voronov, A.; Weinstein, A. 7 1996 \(N\)-point spherical functions and asymptotic boundary KZB equations. Zbl 1504.22018 Stokman, J. V.; Reshetikhin, N. 7 2022 A cellular topological field theory. Zbl 1514.81235 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 7 2020 Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections. Zbl 1441.57010 Blanchet, Christian; Geer, Nathan; Patureau-Mirand, Bertrand; Reshetikhin, Nicolai 7 2020 Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013 Kirillov, A. N.; Reshetikhin, N. Yu. 6 1988 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021 Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Schur-Weyl-type duality for quantized \(\mathfrak{gl}(1|1)\), the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040 Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben 5 2012 Invariants of tangles with flat connections in their complements. Zbl 1083.57018 Kashaev, R.; Reshetikhin, N. 5 2005 Quantum supergroups. Zbl 0791.17013 Reshetikhin, N. 5 1992 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 5 2016 The two-point correlation function in the six-vertex model. Zbl 1505.82036 Belov, Pavel; Reshetikhin, Nicolai 5 2022 Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057 Reshetikhin, Nicolai 5 2021 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011 Kashaev, Rinat; Reshetikhin, Nicolai 4 2005 On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306 Polyak, Michael; Reshetikhin, Nicolai 4 1997 Topological quantum field theory: 20 years later. Zbl 1237.57032 Reshetikhin, Nicolai 3 2010 On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014 Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai 3 1993 Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099 Reshetikhin, Nicolai; Yakimov, Milen 3 2000 Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011 Frenkel, I. B.; Reshetikhin, N. Yu. 3 1992 Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040 Bazhanov, V. V.; Reshetikhin, N. Yu. 3 1990 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 3 2018 Memories of Vaughan Jones. Zbl 1480.01028 Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 3 2021 Superintegrable systems on moduli spaces of flat connections. Zbl 1483.37072 Arthamonov, S.; Reshetikhin, N. 3 2021 Semiclassical geometry of integrable systems. Zbl 1390.81231 Reshetikhin, Nicolai 3 2018 Folded quantum integrable models and deformed \(W\)-algebras. Zbl 1513.81077 Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai 9 2022 \(N\)-point spherical functions and asymptotic boundary KZB equations. Zbl 1504.22018 Stokman, J. V.; Reshetikhin, N. 7 2022 The two-point correlation function in the six-vertex model. Zbl 1505.82036 Belov, Pavel; Reshetikhin, Nicolai 5 2022 Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains. Zbl 1511.17066 Reshetikhin, N.; Stokman, J. V. 2 2022 Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057 Reshetikhin, Nicolai 5 2021 Memories of Vaughan Jones. Zbl 1480.01028 Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin 3 2021 Superintegrable systems on moduli spaces of flat connections. Zbl 1483.37072 Arthamonov, S.; Reshetikhin, N. 3 2021 Superintegrability of generalized Toda models on symmetric spaces. Zbl 1497.37067 Reshetikhin, Nicolai; Schrader, Gus 2 2021 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035 Postnova, Olga; Reshetikhin, Nicolai 9 2020 A cellular topological field theory. Zbl 1514.81235 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 7 2020 Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections. Zbl 1441.57010 Blanchet, Christian; Geer, Nathan; Patureau-Mirand, Bertrand; Reshetikhin, Nicolai 7 2020 The ties that bind. Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Zbl 1454.01033 Dumbaugh, Della; Daskalopoulos, Panagiota; Vershik, Anatoly; Kapitanski, Lev; Reshetikhin, Nicolai; Apushkinskaya, Darya; Nazarov, Alexander 1 2020 Conformal limit for dimer models on the hexagonal lattice. Zbl 1431.82009 Keating, D.; Reshetikhin, N.; Sridhar, A. 1 2019 Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 39 2018 Limit shapes of the stochastic six vertex model. Zbl 1400.82055 Reshetikhin, Nicolai; Sridhar, Ananth 14 2018 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 3 2018 Semiclassical geometry of integrable systems. Zbl 1390.81231 Reshetikhin, Nicolai 3 2018 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083 Reshetikhin, Nicolai 13 2017 Integrability of limit shapes of the six vertex model. Zbl 1377.82022 Reshetikhin, Nicolai; Sridhar, Ananth 12 2017 Degenerately integrable systems. Zbl 1369.70035 Reshetikhin, N. 20 2016 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 5 2016 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122 Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 11 2015 Semiclassical quantization of classical field Theories. Zbl 1315.81095 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 10 2015 Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011 Reshetikhin, Nicolai; Vertman, Boris 8 2015 Classical BV theories on manifolds with boundary. Zbl 1302.81141 Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 83 2014 Recursion formulas for HOMFLY and Kauffman invariants. Zbl 1312.57005 Chen, Qingtao; Reshetikhin, Nicolai 1 2014 Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007 Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter 14 2012 Asymptotic shapes with free boundaries. Zbl 1234.05051 Di Francesco, Philippe; Reshetikhin, Nicolai 8 2012 Schur-Weyl-type duality for quantized \(\mathfrak{gl}(1|1)\), the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040 Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben 5 2012 Lectures on the integrability of the six-vertex model. Zbl 1202.82022 Reshetikhin, N. 31 2010 Lectures on quantization of gauge systems. Zbl 1235.83004 Reshetikhin, N. 12 2010 Topological quantum field theory: 20 years later. Zbl 1237.57032 Reshetikhin, Nicolai 3 2010 Dimers on surface graphs and spin structures. II. Zbl 1168.82012 Cimasoni, David; Reshetikhin, Nicolai 17 2008 Random skew plane partitions and the Pearcey process. Zbl 1115.60011 Okounkov, Andrei; Reshetikhin, Nicolai 71 2007 Dimers on surface graphs and spin structures. I. Zbl 1135.82006 Cimasoni, David; Reshetikhin, Nicolai 51 2007 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080 Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 138 2006 The birth of a random matrix. Zbl 1130.15014 Okounkov, Andrei; Reshetikhin, Nicolai 43 2006 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306 Allison, David; Reshetikhin, Nicolai 34 2005 Hopf algebras with trace and representations. Zbl 1132.17007 De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 18 2005 Invariants of tangles with flat connections in their complements. Zbl 1083.57018 Kashaev, R.; Reshetikhin, N. 5 2005 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011 Kashaev, Rinat; Reshetikhin, Nicolai 4 2005 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134 Okounkov, Andrei; Reshetikhin, Nikolai 189 2003 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058 Reshetikhin, N. 18 2003 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043 Reshetikhin, N. 10 2003 Quantum invariant measures. Zbl 1009.20060 Reshetikhin, Nicolai; Yakimov, Milen 2 2001 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074 Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 21 2000 Deformation quantization of Kähler manifolds. Zbl 1003.53061 Reshetikhin, N.; Takhtajan, L. A. 19 2000 Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099 Reshetikhin, Nicolai; Yakimov, Milen 3 2000 Characteristic systems on Poisson Lie groups and their quantization. Zbl 1015.53050 Reshetikhin, Nicolai 1 2000 The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015 Frenkel, Edward; Reshetikhin, Nicolai 166 1999 Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066 Kashaev, Rinat M.; Reshetikhin, Nikolai Yu. 1 1999 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011 Frenkel, Edward; Reshetikhin, Nicolai 57 1998 Quantization of the algebra of chord diagrams. Zbl 0943.57007 Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 26 1998 Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra. Zbl 0916.17020 Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A. 25 1998 Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041 Kashaev, R. M.; Reshetikhin, N. 7 1997 On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306 Polyak, Michael; Reshetikhin, Nicolai 4 1997 Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014 Frenkel, Edward; Reshetikhin, Nikolai 69 1996 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009 Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 23 1996 Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116 Bazhanov, V.; Bobenko, A.; Reshetikhin, N. 14 1996 Semiquantum geometry. Zbl 0896.17004 Reshetikhin, N.; Voronov, A.; Weinstein, A. 7 1996 Integrable discrete systems. Zbl 0862.35117 Reshetikhin, N. 1 1996 Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009 Reshetikhin, N. 12 1995 Remarks on the quantum dilogarithm. Zbl 0876.17035 Bazhanov, V. V.; Reshetikhin, N. Yu. 9 1995 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103 Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 119 1994 Quantum groups and flag varieties. Zbl 0818.17018 Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 25 1994 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512 Reshetikhin, N. Yu.; Saleur, H. 8 1994 Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008 Kirillov, A. N.; Reshetikhin, N. Yu. 9 1993 On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014 Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai 3 1993 Quantum affine algebras and holonomic difference equations. Zbl 0760.17006 Frenkel, I. B.; Reshetikhin, N. Yu. 217 1992 The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016 Reshetikhin, Nicolai 30 1992 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015 Reshetikhin, N. 26 1992 Quantum flag and Schubert schemes. Zbl 0792.17012 Lakshmibai, V.; Reshetikhin, N. 19 1992 Quantization of Lie bialgebras. Zbl 0760.17012 Reshetikhin, N. 9 1992 Quantum supergroups. Zbl 0791.17013 Reshetikhin, N. 5 1992 Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011 Frenkel, I. B.; Reshetikhin, N. Yu. 3 1992 Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007 Reshetikhin, N.; Turaev, V. G. 562 1991 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093 Reshetikhin, N. Yu. 19 1991 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024 Reshetikhin, N. 14 1991 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026 Reshetikhin, N. Yu. 10 1991 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021 Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014 Lakshmibai, V.; Reshetikhin, N. 2 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003 Reshetikhin, N. Yu.; Turaev, V. G. 412 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015 Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 319 1990 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006 Reshetikhin, N. 152 1990 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014 Kirillov, A. N.; Reshetikhin, N. 99 1990 Central extensions of quantum current groups. Zbl 0692.22011 Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 94 1990 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024 Bazhanov, V. V.; Reshetikhin, N. 70 1990 Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077 Reshetikhin, N.; Smirnov, F. 37 1990 Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016 Reshetikhin, N. Yu. 18 1990 Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040 Bazhanov, V. V.; Reshetikhin, N. Yu. 3 1990 Representations of the algebra \(U_ q(sl(2))\), \(q\)-orthogonal polynomials and invariants of links. Zbl 0742.17018 Kirillov, A. N.; Reshetikhin, N. Yu. 92 1989 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008 Kulish, P. P.; Reshetikhin, N. Yu. 67 1989 Quantization of Lie groups and Lie algebras. Zbl 0677.17010 Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 66 1989 Critical RSOS models and conformal field theory. Zbl 0693.58046 Bazhanov, V. V.; Reshetikhin, N. Yu. 50 1989 Quantum groups. Zbl 0716.17010 Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L. 2 1989 Quantum R-matrices and factorization problems. Zbl 0711.17008 Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 101 1988 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029 Kirillov, A. N.; Reshetikhin, N. Yu. 57 1988 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028 Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 24 1988 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,735 Authors 56 Reshetikhin, Nikolai Yu. 38 Borodin, Alexei 35 Ragoucy, Eric 30 Morozov, Alexei Yurievich 29 Varchenko, Alexander Nikolaevich 28 Jing, Naihuan 27 Cattaneo, Alberto Sergio 27 Mukhin, Evgeny 26 Nepomechie, Rafael I. 24 Mironov, Andrei D. 23 Derkachëv, Sergeĭ Èduardovich 23 Kauffman, Louis Hirsch 23 Majid, Shahn 23 Molev, Alexander I. 23 Pakuliak, Stanislav Z. 23 Yang, Wenli 22 Jimbo, Michio 22 Kuniba, Atsuo 22 Petrov, Leonid 21 Geer, Nathan 21 Kirillov, Anatol N. 21 Mudrov, Andrey I. 21 Okado, Masato 21 Tarasov, Vitaly Olegovich 20 Andersen, Jørgen Ellegaard 20 Di Francesco, Philippe 20 Feĭgin, Boris L’vovich 20 Gould, Mark D. 20 Runkel, Ingo 20 Zhang, Yaozhong 19 Morozov, Andreĭ Alekseevich 19 Patureau-Mirand, Bertrand 18 Gorin, Vadim 18 Zhang, Ruibin 17 Chari, Vyjayanthi 17 Frappat, Luc 17 Hernandez, David 17 Shi, Kangjie 16 Cao, Junpeng 16 Crampé, Nicolas 16 Frenkel, Edward V. 16 Hu, Naihong 16 Kedem, Rinat 16 Scrimshaw, Travis 16 Young, Charles A. S. 15 Etingof, Pavel Il’ich 15 Kulish, Petr Petrovich 15 Yamazaki, Masahito 15 Zinn-Justin, Paul 14 Bazhanov, Vladimir V. 14 Corwin, Ivan Z. 14 Kashiwara, Masaki 14 Khoroshkin, Sergey M. 14 Le, Thang Tu Quoc 14 Miwa, Tetsuji 14 Oh, Se-jin 14 Schomerus, Volker 14 Tsuboi, Zengo 14 Zabrodin, Anton V. 13 Adler, Mark 13 Bogolyubov, Nikolaĭ Mikhaĭlovich 13 Doikou, Anastasia 13 Gukov, Sergei 13 Gurevich, Dmitrii 13 Nekrasov, Nikita Alexandrovich 13 van Moerbeke, Pierre 12 Hou, Boyu 12 Isaev, Alekseĭ Petrovich 12 Johansson, Kurt 12 Kimura, Taro 12 Kirschner, Roland 12 Li, Guangliang 12 Mnëv, Pavel 12 Schilling, Anne 12 Schweigert, Christoph 12 Wheeler, Michael 12 Zeitlin, Anton M. 11 Arutyunov, Gleb Eduardovich 11 Costantino, Francesco 11 Fehér, László Gy. 11 Foda, Omar 11 Gainutdinov, Azat M. 11 Pronko, Andrei G. 11 Ramadevi, Pichai 11 Rozansky, Lev 11 Sakamoto, Reiho 11 Slavnov, Nikita A. 11 Stokman, Jasper V. 11 Tsymbaliuk, Oleksandr 11 Vicedo, Benoît 10 Aggarwal, Amol 10 Andruskiewitsch, Nicolás 10 Bufetov, Alekseĭ Igor’evich 10 Frahm, Holger 10 Frassek, Rouven 10 Frenkel, Igor B. 10 Garoufalidis, Stavros 10 Greenstein, Jacob 10 Jurčo, Branislav 10 Karakhanyan, David ...and 2,635 more Authors all top 5 Cited in 231 Serials 368 Communications in Mathematical Physics 245 Journal of High Energy Physics 218 Journal of Mathematical Physics 216 Nuclear Physics. 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Proceedings Supplements ...and 131 more Serials all top 5 Cited in 58 Fields 1,671 Quantum theory (81-XX) 1,381 Nonassociative rings and algebras (17-XX) 689 Statistical mechanics, structure of matter (82-XX) 677 Associative rings and algebras (16-XX) 608 Manifolds and cell complexes (57-XX) 318 Combinatorics (05-XX) 270 Algebraic geometry (14-XX) 224 Group theory and generalizations (20-XX) 218 Category theory; homological algebra (18-XX) 206 Global analysis, analysis on manifolds (58-XX) 204 Differential geometry (53-XX) 196 Dynamical systems and ergodic theory (37-XX) 195 Probability theory and stochastic processes (60-XX) 146 Special functions (33-XX) 134 Relativity and gravitational theory (83-XX) 128 Partial differential equations (35-XX) 125 Functional analysis (46-XX) 112 Topological groups, Lie groups (22-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 70 Mechanics of particles and systems (70-XX) 65 Commutative algebra (13-XX) 64 Number theory (11-XX) 57 Several complex variables and analytic spaces (32-XX) 43 Difference and functional equations (39-XX) 33 Algebraic topology (55-XX) 32 Ordinary differential equations (34-XX) 22 \(K\)-theory (19-XX) 22 Convex and discrete geometry (52-XX) 18 Numerical analysis (65-XX) 17 Functions of a complex variable (30-XX) 17 Operator theory (47-XX) 17 Computer science (68-XX) 12 General and overarching topics; collections (00-XX) 12 Geometry (51-XX) 12 Statistics (62-XX) 11 History and biography (01-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Abstract harmonic analysis (43-XX) 8 Approximations and expansions (41-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 5 General algebraic systems (08-XX) 5 Field theory and polynomials (12-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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