Prof. dr. N. (Nicolai) Reshetikhin
Faculty of Science
KDV
Visiting address
- Science Park 107
- Room number: F3.26
Postal address
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Postbus 94248
1090 GE Amsterdam
Contact details
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Publications
2025
Reshetikhin, N., & Stokman, J. (2025). Quantum superintegrable spin systems on graph connections. Indagationes Mathematicae, 36(2), 644-674. https://doi.org/10.1016/j.indag.2024.03.008 [details]
2024
- De Clercq, H., Reshetikhin, N., & Stokman, J. (2024). Graphical Calculus for Quantum Vertex Operators, I: The Dynamical Fusion Operator. Communications in Mathematical Physics, 405(6), Article 149. https://doi.org/10.1007/s00220-024-04984-x [details]
- Stokman, J. V., & Reshetikhin, N. (2024). Correction to: N-point spherical functions and asymptotic boundary KZB equations (Inventiones mathematicae, (2022), 229, 1, (1-86), 10.1007/s00222-022-01102-3). Inventiones Mathematicae, 237(2), 869-870. https://doi.org/10.1007/s00222-024-01276-y
2022
- Reshetikhin, N., & Stokman, J. (2022). Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains. In E. Koelink, S. Kolb, N. Reshetikhin, & B. Vlaar (Eds.), Hypergeometry, Integrability and Lie Theory: Virtual Conference Hypergeometry, Integrability and Lie Theory, December 7–11, 2020 Lorentz Center Leiden, The Netherlands (pp. 205-241). (Contemporary Mathematics; Vol. 780). American Mathematical Society. https://doi.org/10.1090/conm/780 [details]
- Stokman, J. V., & Reshetikhin, N. (2022). N-point spherical functions and asymptotic boundary KZB equations. Inventiones Mathematicae, 229(1), 1-86. https://doi.org/10.1007/s00222-022-01102-3 [details]
2020
- Blanchet, C., Geer, N., Patureau-Mirand, B., & Reshetikhin, N. (2020). Holonomy braidings, biquandles and quantum invariants of links with SL2(C) flat connections. Selecta Mathematica, New Series, 26(2), Article 19. https://doi.org/10.1007/s00029-020-0545-0 [details]
- Cattaneo, A. S., Mnev, P., & Reshetikhin, N. (2020). A Cellular Topological Field Theory. Communications in Mathematical Physics, 374(2), 1229-1320. https://doi.org/10.1007/s00220-020-03687-3 [details]
- Postnova, O., & Reshetikhin, N. (2020). On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Letters in Mathematical Physics, 110(1), 147-178. https://doi.org/10.1007/s11005-019-01217-4 [details]
2019
- Keating, D., Reshetikhin, N., & Sridhar, A. (2019). Conformal Limit for Dimer Models on the Hexagonal Lattice. Journal of Mathematical Sciences (United States), 242(5), 701-714. https://doi.org/10.1007/s10958-019-04508-2 [details]
2018
- Cattaneo, A. S., Mnev, P., & Reshetikhin, N. (2018). Perturbative Quantum Gauge Theories on Manifolds with Boundary. Communications in Mathematical Physics, 357(2), 631-730. https://doi.org/10.1007/s00220-017-3031-6 [details]
- Cattaneo, A. S., Mnev, P., & Reshetikhin, N. (2018). Poisson sigma model and semiclassical quantization of integrable systems. In M.-L. Ge, A. J. Niemi , K. K. Phua , & L. A. Takhtajan (Eds.), Ludwig Faddeev Memorial Volume: A Life in Mathematical Physics (pp. 93-118). World Scientific. https://doi.org/10.1142/9789813233867_0010 [details]
- Its, A., & Reshetikhin, N. (2018). Preface: Introduction to special issue: In memory of Ludwig Faddeev. Journal of Mathematical Physics, 59(9), Article 091201. https://doi.org/10.1063/1.5055773 [details]
- Kitanine, N., Nepomechie, R. I., & Reshetikhin, N. (2018). Quantum integrability and quantum groups: A special issue in memory of Petr P Kulish. Journal of Physics A: Mathematical and Theoretical, 51(11), Article 110201. https://doi.org/10.1088/1751-8121/aaa465 [details]
- Reshetikhin, N. (2018). Semiclassical geometry of integrable systems. Journal of Physics A: Mathematical and Theoretical, 51(16), Article 164001. https://doi.org/10.1088/1751-8121/aaaea6 [details]
- Reshetikhin, N., & Sridhar, A. (2018). Limit Shapes of the Stochastic Six Vertex Model. Communications in Mathematical Physics, 363(3), 741-765. https://doi.org/10.1007/s00220-018-3253-2 [details]
- Reshetikhin, N., Stokman, J., & Vlaar, B. (2018). Integral solutions to boundary quantum Knizhnik–Zamolodchikov equations. Advances in Mathematics, 323, 486-528. https://doi.org/10.1016/j.aim.2017.10.041 [details]
2017
- Reshetikhin, N. (2017). Degenerate integrability of quantum spin Calogero–Moser systems. Letters in Mathematical Physics, 107(1), 187–200. https://doi.org/10.1007/s11005-016-0897-8 [details]
- Reshetikhin, N., & Sridhar, A. (2017). Integrability of Limit Shapes of the Six Vertex Model. Communications in Mathematical Physics, 356(2), 535–565. https://doi.org/10.1007/s00220-017-2983-x [details]
2016
- Reshetikhin, N., Stokman, J., & Vlaar, B. (2016). Boundary Quantum Knizhnik-Zamolodchikov Equations and Fusion. Annales Henri Poincaré, 17(1), 137-177. https://doi.org/10.1007/s00023-014-0395-4 [details]
2015
- Cattaneo, A., Mnev, P., & Reshetikhin, N. (2015). Semiclassical Quantization of Classical Field Theories. In D. Calaque, & T. Strobi (Eds.), Mathematical Aspects of Quantum Field Theories (pp. 275-324). (Mathematical Physics Studies). Springer. https://doi.org/10.1007/978-3-319-09949-1_9 [details]
- Reshetikhin, N., & Vertman, B. (2015). Combinatorial Quantum Field Theory and Gluing Formula for Determinants. Letters in Mathematical Physics, 105(3), 309-340. https://doi.org/10.1007/s11005-015-0744-3 [details]
- Reshetikhin, N., Stokman, J., & Vlaar, B. (2015). Boundary Quantum Knizhnik-Zamolodchikov Equations and Bethe Vectors. Communications in Mathematical Physics, 336(2), 953-986. https://doi.org/10.1007/s00220-014-2227-2 [details]
2014
- Cattaneo, A. S., Mnev, P., & Reshetikhin, N. (2014). Classical BV theories on manifolds with boundary. Communications in Mathematical Physics, 332(2), 535-603. https://doi.org/10.1007/s00220-014-2145-3 [details]
2013
- De Concini, C., Hernandez, D., & Reshetikhin, N. (2013). Geometry of the analytic loop group. Advances in Mathematics, 238(1), 290-321. https://doi.org/10.1016/j.aim.2013.02.007 [details]
2012
- Boutillier, C., Mkrtchyan, S., Reshetikhin, N., & Tingley, P. (2012). Random skew plane partitions with a piecewise periodic back wall. Annales Henri Poincaré, 13(2), 271-296. https://doi.org/10.1007/s00023-011-0120-5 [details]
- Di Francesco, P., & Reshetikhin, N. Y. (2012). Asymptotic shapes with free boundaries. Communications in Mathematical Physics, 309(1), 87-121. https://doi.org/10.1007/s00220-011-1356-0 [details]
- Reshetikhin, N., Stroppel, C., & Webster, B. (2012). Schur-Weyl-type duality for quantized gl(1|1), the Burau representation of Braid groups, and invariants of tangled graphs. Progress in Mathematics, 296, 389-401. https://doi.org/10.1007/978-0-8176-8277-4_16 [details]
2010
- Reshetikhin, N. (2010). Lectures on quantization of gauge systems. In B. Booß-Bavnbek, G. Esposito, & M. Lesch (Eds.), New paths towards quantum gravity (pp. 125-190). (Lecture notes in physics; No. 807). Springer. https://doi.org/10.1007/978-3-642-11897-5 [details]
- Reshetikhin, N. (2010). Lectures on the integrability of the 6-vertex model. In J. Jacobsen, S. Ouvry, V. Pasquier, D. Serban, & L. Cugliandolo (Eds.), Exact methods in low-dimensional statistical physics and quantum computing (pp. 197-266). Oxford University Press. http://arxiv.org/abs/1010.5031 [details]
- Reshetikhin, N. (2010). Topological quantum field theory: 20 years later. In A. C. M. Ran, H. te Riele, & J. J. O. O. Wiegerinck (Eds.), European Congress of Mathematics : Amsterdam, 14-18 July, 2008 (pp. 333-377). (ECM Books). European Mathematical Society. https://doi.org/10.4171/077-1/15
2009
- Geer, N., & Reshetikhin, N. (2009). On invariants of graphs related to quantum sl(2) at roots of unity. Letters in Mathematical Physics, 88(1-3), 321-331. https://doi.org/10.1007/s11005-009-0320-9 [details]
2008
- Cimasoni, D., & Reshetikhin, N. (2008). Dimers on surface graphs and spin structures. II. Communications in Mathematical Physics, 281(2), 445-468. https://doi.org/10.1007/s00220-008-0488-3 [details]
2020
- Dumbaugh, D., Daskalopoulos, P., Vershik, A., Kapitanski, L., Reshetikhin, N., Apushkinskaya, D., & Nazarov, A. (2020). The Ties that Bind: Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Notices of the American Mathematical Society, 67(3), 373-381. https://doi.org/10.1090/noti2047 [details]
2017
- Reshetikhin, N., Semenov-Tian-Shansky, M., & Takhtajan, L. (2017). L.D. Faddeev: (March 23, 1934 - February 26, 2017). International Association of Mathematical Physics (IAMP) News Bulletin, (October 2017), 29-45. http://www.iamp.org/page.php?page=page_bulletin [details]
2011
- Reshetikhin, N. Y. (2011). The harmony of mathematics and physics. (Oraties). Amsterdam: Universiteit van Amsterdam.
Journal editor
- Reshetikhin, N. Y. (member of editorial board) (2001-2019). Letters in Mathematical Physics (Journal). http://link.springer.com/journal/11005
Others
- Dimofte, T. (organiser), Geer, N. (organiser), Toshitake, K. (organiser) & Reshetikhin, N. (participant) (3-6-2019 - 7-6-2019). New Developments in Quantum Topology, Berkeley (organising a conference, workshop, ...). https://tudor.faculty.ucdavis.edu/events/new-developments-in-quantum-topology/
- Hurtubise, J. (organiser), Reshetikhin, N. (organiser) & Williams, L. K. (organiser) (6-5-2019 - 10-5-2019). Faces of Integrability, Montreal . As noted in the overview, themes covered in the workshop include the role of cluster algebras and cluster varieties in the description of moduli (…) (organising a conference, workshop, ...). http://www.crm.umontreal.ca/2019/Integrabilite19/index_e.php
- Reshetikhin, N. (organiser) (17-9-2018 - 21-9-2018). Tagung Geometric Analysis and Mathematical Physics, Oldenburg. This conference will be held from September 17 - 21, 2018 at the Wechloy Campus at the Carl von Ossietzky University Oldenburg. The workshop aims to (…) (organising a conference, workshop, ...).
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Ancillary activities
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Dept of Math Uni. of California Berkeley
Professor
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Dept of Math Uni. of California Berkeley
Reshetikhin, N., & Stokman, J. (2025). Quantum superintegrable spin systems on graph connections. Indagationes Mathematicae, 36(2), 644-674.