Members
| Name | Luc Vinet |
| Affiliation | |
| Phone (1) | 514 343 7502 |
| Areas of research (1) | mathematical physics |
| Area of research (2) | integrable models |
| Area of research (3) | quantum information |
| Area of research (4) | representation theory |
| Area of research (5) | orthogonal polynomials and special functions |
| Postdoctoral Fellows with dates (current and since last year) (1) | Krystal Guo, 2019-2020 |
| Postdoctoral Fellows with dates (current and since last year) (2) | Harmony Zhan, 2018-2019 |
| Students with dates (current and since last year) and affiliation (1) | Pierre- Antoine Bernard, M.Sc., Université de Montréal. |
| Students with dates (current and since last year) and affiliation (2) | Dounia Shaaban Kabakibo}, M.Sc., Université de Montréal. |
| Students with dates (current and since last year) and affiliation (3) | Meri Zaimi, Ph.D.,, Université de Montréal. |
| Students with dates (current and since last year) and affiliation (4) | Charles-Alexandre B'edard, Ph.D., Université de Montréal |
| Students with dates (current and since last year) and affiliation (5) | Geoffroy Bergeron, Ph.D., Université de Montréal |
| Students with dates (current and since last year) and affiliation (6) | Julien Gaboriaud}, Ph.D.Université de Montréal |
| Students with dates (current and since last year) and affiliation (7) | Jean-Michel Lemay}, Ph.D., Université de Montréal |
| Student with dates (current and since last year), and affiliation (8) | Wouter van de Vijver, Ph.D., Ghent University, Belgium |
| Visiting Researchers with exact dates (current and since last year) and affiliation (1) | Nicolas Crampé, U. de Tours, June – December 2018 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (2) | Eric Ragoucy, LAPTRH – Annecy, September 2018 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (3) | Eric Koelink, Radoud University, August-September 2018 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (4) | Hendrik De Bie, Ghent University, April 2018 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (5) | Plamen Iliev, Georgia Tech, August 2018 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (6) | Loïc Poulain D'Andecy, U. Reims, Septembre 2019 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (7) | Satoshi Tsujimoto, Kyoto University, March 2020 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (8) | Alexei Zhedanov, Renmin University, January 2020- |
| Visiting Researchers with exact dates (current and since last year) and affiliation (9) | Rafael Nepomechie, University of Miami, May-June 2019 |
| Selected Recent Publications (past 2 years only) (1) | Pierre-Antoine Bernard, Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet, Heun operator of Lie type and the modified algebraic Bethe ansatz, arXiv:2011.11659, submitted to Nucl.Phys. B |
| Selected Recent Publications (past 2 years only) (2) | Nicolas Crampé, Luc Frappat, Julien Gaboriaud, Loïc Poulain d'Andecy, Eric Ragoucy, Luc Vinet, The Askey-Wilson algebra and its avatars, arXiv:2009.14815, submitted to J.Phys" A |
| Selected Recent Publications (past 2 years only) (3) | Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials, arXiv:2009.06195, submitted to J.Math. Phys. |
| Selected Recent Publications (past 2 years only) (4) | Luc Vinet, Alexei Zhedanov, A unified algebraic underpinning for the Hahn polynomials and rational functions, arXiv:2009.05905, submitted to JMAA |
| Selected Recent Publications (past 2 years only) (5) | Nicolas Crampe, Krystal Guo, Luc Vinet, Entanglement of Free Fermions on Hadamard Graphs, arXiv:2008.04925, Nucl. Phys. B 960 115176 |
| Selected Recent Publications (past 2 years only) (6) | Nicolas Crampé, Luc Vinet, Meri Zaimi, Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of Uq(sl2), arXiv:2008.04905, submitted to Compositio Math. |
| Selected Recent Publications (past 2 years only) (7) | Geoffroy Bergeron, Julien Gaboriaud, Luc Vinet, Alexei Zhedanov, Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials, arXiv:2008.03266, submitted to J. Math. Phys. |
| Selected Recent Publications (past 2 years only) (8) | N. Crampe, L. Poulain d'Andecy, L. Vinet, A Calabi-Yau algebra with E6 symmetry and the Clebsch-Gordan series of sl(3), arXiv:2005.13444, submitted to Can. J. Math. |
| Selected Recent Publications (past 2 years only) (9) | Julien Gaboriaud, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators, arXiv:2005.06961, accepted in J. Phys. A |
| Selected Recent Publications (past 2 years only) (10) | Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet, New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras, arXiv:2005.06957, accepted in Rev. Math. Phys. |
| Selected Recent Publications (past 2 years only) (11) | Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type, arXiv:2005.04217, accepted in Proc. Am. Math. Soc. |
| Selected Recent Publications (past 2 years only) (12) | Luc Vinet, Roman Jackiw: A Beacon in a Golden Period of Theoretical Physics, arXiv:2004.13191, in Roman Jackiw 80th Birthday Festschrift, World Scientific (2020) |
| Selected Recent Publications (past 2 years only) (13) | Julien Gaboriaud, Luc Vinet, A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients, arXiv:2004.00109, Phys. Lett. A 384 (2020) 126746 |
| Selected Recent Publications (past 2 years only) (14) | Geoffroy Bergeron, Nicolas Crampé, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, The Heun-Racah and Heun-Bannai-Ito algebras, arXiv:2003.09558, J. Math. Phys. 61 081701 (2020) |
| Selected Recent Publications (past 2 years only) (15) | Hendrik De Bie, Plamen Iliev, Wouter van de Vijver, Luc Vinet, The Racah algebra: An overview and recent results, arXiv:2001.11195, accepted in Contemporary Mathematics AMS |
| Selected Recent Publications (past 2 years only) (16) | Nicolas Crampé, Rafael I. Nepomechie, Luc Vinet, Entanglement in Fermionic Chains and Bispectrality, arXiv:2001.10576, in Roman Jackiw 80th Birthday Festschrift, World Scientific (2020) |
| Selected Recent Publications (past 2 years only) (17) | Pierre-Antoine Bernard, Julien Gaboriaud, Luc Vinet, Superintegrability and the dual −1 Hahn algebra in superconformal quantum mechanics, arXiv:2001.07309, Ann. Phys. (2020) 168171 |
| Selected Recent Publications (past 2 years only) (18) | Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, The rational Heun operator and Wilson biorthogonal functions, arXiv:1912.11571, submitted to the Ramanujan Journal |
| Selected Recent Publications (past 2 years only) (19) | Julien Gaboriaud, Luc Vinet, Stéphane Vinet, Howe duality and algebras of the Askey-Wilson type: an overview, arXiv:1911.08314, accepted CRM Series in Mathematical Physics |
| Selected Recent Publications (past 2 years only) (20) | Hendrik De Bie, Wouter van de Vijver, Luc Vinet, The Racah algebra and sln, arXiv:1910.11723, accepted in CRM Series in Mathematical Physics |
| Recent Invited Talks and Lectures (past year only) (1) | Sklyanin algebras, Askey-Wilson polynomials and Heun operators, Seminar, CRM, November 2020 |
| Recent Invited Talks and Lectures (past year only) (2) | Traitement de signaux, chaînes de fermions et intrication, Colloquium, Physics Department, UdeM, September 2020 |
| Recent Invited Talks and Lectures (past year only) (3) | Degenerate Sklyanin algebras and orthogonal polynomials}, Seminar, CAOPA-2020 ZOOM seminar, V. Lysov org. , June 2020 |
| Recent Invited Talks and Lectures (past year only) (4) | Free-Fermion entanglement and time and band limiting, Séminar, Laboratoire de Physique Théorique, École Normale Supérieure – Ulm, France , January 2020 |
| Recent Invited Talks and Lectures (past year only) (5) | Entanglement of Fermions on Paths, Invited Talk, Session on Quantum Information on Graphs, CMS Winter Meeting, Toronto, Canada, December 2019 |
| Recent Invited Talks and Lectures (past year only) (6) | The difference and $q$-difference Heun equations, Invited Talk, Session on Special functions and their applications, CMS Winter Meeting, Toronto, Canada, December 2019 |
| Recent Invited Talks and Lectures (past year only) (7) | Free-Fermion entanglement and time and band limiting, Seminar, Graduate School of Informatics, Kyoto University, Japon, October 2019 |
| Recent Invited Talks and Lectures (past year only) (8) | Free-Fermion entanglement and time and band limiting, Seminar, Dublin Institute for Advanced Studies (DIAS), Dublin, Irlande, September 2019 |
| Recent Awards, Distinctions, Prizes (past 2 years) (1) | Fellow of the Royal Society of Canada (FRSC), 2018 |
| Recent Awards, Distinctions, Prizes (past 2 years)(2) | Fellow of the Canadian Mathematical Society, 2019 |
| Recent Visiting Positions, Sabbatical Leaves (past 2 years only) | Université Savoie-Mont-Blanc, CNRS Invited Researcher, June 2018 Renmin University, May 2018
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| Recent conferences organized or co-organized (past 2 years only) (1) | R. MacKenzie, M. Paranjape, Y. Saint-Aubin, A. Shapere, L. Vinet, W. Witczak-Krempa, Quantum Theory and Symmetries, Montreal, July 2019 |
| Recent conferences organized or co-organized (past 2 years only) (2) | H. Buhrman, M. de la Iglesia, L. Velazquez, L. Vinet, Quantum walks and Information Tasks, BIRS workshop, Banff, April 2019 |
| Recent conferences organized or co-organized (past 2 years only) (3) | L. Vinet, Symmetries: Algebra and Physics, Thematic Semester, CRM, Montreal, May-December 2022 |
| Recent conferences organized or co-organized (past 2 years only) (4) | H. De Bie, J.F. van Diejen, E. Koelink, A. Loureiro, F. Marcellan, S. Post, M. R"osler, L. Vinet, International Conference on Orthogonal Polynomials, Special Functions and Applications – OPSFA 16, Montreal, June 2022 |
| Recent conferences organized or co-organized (past 2 years only) (5) | A. Chan, G. Coutinho, K. Guo, C. Tamon, L. Vinet, H. Zhan, Algebraic Graph Theory and Quantum Information, Fields Institute, Toronto, MaY 2020 |
