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) (3) | Gilles, Parez, 2021- |
| Students with dates (current and since last year) and affiliation (1) | Pierre- Antoine Bernard, Ph.D., Université de Montréal, 2021- |
| Students with dates (current and since last year) and affiliation (2) | Dounia Shaaban Kabakibo, M.Sc., Université de Montréal, 2020-2021 |
| Students with dates (current and since last year) and affiliation (3) | Meri Zaimi, Ph.D., Université de Montréal, 2020- |
| Students with dates (current and since last year) and affiliation (4) | Jonathan Pelletier, M.Sc., Université de Montréal, 2021- |
| Students with dates (current and since last year) and affiliation (5) | Geoffroy Bergeron, Ph.D., Université de Montréal, 2015-2021 |
| Students with dates (current and since last year) and affiliation (6) | Julien Gaboriaud, Ph.D.Université de Montréal, 2017-2021 |
| Students with dates (current and since last year) and affiliation (7) | Gauvain Carcone, M. Sc., Université de Montréal, 2021- |
| Student with dates (current and since last year), and affiliation (8) | Wouter van de Vijver, Ph.D., Ghent University, Belgium, 2015- |
| Student with dates (current and since last year), and affiliation (9) | Hugo Schérer, B. Sc. Université de Montréal, 2021 |
| Student with dates (current and since last year), and affiliation (10) | Ismaël Bussières, B. Sc. Université de Montréal, 2021 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (1) | Nicolas Crampé, U. de Tours, February 2022 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (2) | Rafael Nepomechie, U. Miami, January 30-April 2 2022 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (3) | Loic Poulin d'Andecy, U. Reims, February – July 31st 2022 |
| Visiting Researchers with exact dates (current and since last year) and affiliation (4) | Alexei Zhedanov, Renmin University, January 2020- |
| Selected Recent Publications (past 2 years only) (1) | H. Miki, S. Tsujimoto, L. Vinet, The single-indexed exceptional Krawtchouk polynomial (2022), submitted for publication in J. Difference equations and Applications, arXiv: 2201.12359 |
| Selected Recent Publications (past 2 years only) (2) | P.-A. Bernard, N. Crampé, L. Vinet, Time and band limiting operator and Bethe ansatz, (2022), submitted for publication in Letters in Mathematical Physics, arXiv: 2201.04589 |
| Selected Recent Publications (past 2 years only) (3) | P.-A. Bernard, N. Crampé, L. Vinet, An explanation of the commuting operator "miracle" in time and band limiting, (2022), submitted for publication in International Mathematics Research Notices, arXiv:2201.03646 |
| Selected Recent Publications (past 2 years only) (4) | H. Miki, S. Tsujimoto, L. Vinet, Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials (2022), submitted for publication in Journal of Mathematical Physics, arXiv:2201.02337 |
| Selected Recent Publications (past 2 years only) (5) | L. Vinet, A. Zhedanov, Free boson realization of the Dunkl intertwining operator in one dimension, (2022), submitted for publication in J. Phys. A: Math. Theor. |
| Selected Recent Publications (past 2 years only) (6) | N. Crampé, L. Poulain d’Andecy, L. Vinet, The missing label of su3 and its symmetry, (2021), submitted for publication in Communications in Mathematical Physics, arXiv:2110.03521 |
| Selected Recent Publications (past 2 years only) (7) | L. Vinet, A. Zhedanov, Solvability in classical mechanics and algebraic Heun observables, (2021), submitted for publication in Revista de la Union Matematica Argentina, arXiv:2110.01153v1 |
| Selected Recent Publications (past 2 years only) (8) | P.-A. Bernard, N. Crampé, L. Vinet, The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and Uq(sl2), (2021), submited for publication to International Mathematics Research Notices, arXiv:2108.1389 |
| Selected Recent Publications (past 2 years only) (9) | P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Johnson Graphs, (2021) submitted for publication in Commun. Math. Phys., arXiv:2104.11581 |
| Selected Recent Publications (past 2 years only) (10) | P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Hamming Graphs, (2021), submitted for publication in Ann. Phys. arXiv:2103.15742 |
| Selected Recent Publications (past 2 years only) (11) | G. Bergeron, J. Gaboriaud, L. Vinet, A. Zhedanov, The rational Sklyanin algebra and the Wilson and para-Racah polynomials, (2021), submitted for publication in J. Math. Phys. arXiv: 2103.09631 |
| Selected Recent Publications (past 2 years only) (12) | H. Miki, S. Tsujimoto, L. Vinet, Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials, (2020), submitted for publication in Mod. Phys. Lett. B, arXiv: 2009.06195 |
| Selected Recent Publications (past 2 years only) (13) | N. Crampé, D. Shaaban Kabakibo, L. Vinet, The SU(3) SO(3) missing label problem and the analytical Bethe ansatz, (2021), accepted for publication in International Journal of Modern Physics A, arXiv:2112.09736 |
| Selected Recent Publications (past 2 years only) (14) | H. Schérer, L. Vinet, A. Zhedanov, A classical model for perfect transfer and fractional revival based on q-Racah polynomials, (2022), accepted for publication in Physics Letters A., arXiv:2110.01042 |
| Selected Recent Publications (past 2 years only) (15) | H. Schérer, L. Vinet, A. Zhedanov, Analytic Newton’s craddles" with perfect transfer and fractional revival, (2022), accepted for publication in Annals of Physics, arXiv:2108.09386 |
| Selected Recent Publications (past 2 years only) (16) | N. Crampé, J. Gaboriaud, L. Poulain D’Andecy, L. Vinet, Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincaré series, (2022), accepted for publication in Annales Henri Poincaré, arXiv:2105.01086 |
| Selected Recent Publications (past 2 years only) (17) | A. Beaudoin, G. Bergeron, A. Brillant, J. Gaboriaud, L. Vinet, A. Zhedanov, Orthogonal polynomials and the deformed Jordan plane, Journal of Mathematical Analysis and Applications, 507, (2022) 125717, arXiv:2104.13960 |
| Selected Recent Publications (past 2 years only) (18) | L. Vinet, A. Zhedanov, An algebraic treatment of the Askey biorthogonal polynomials on the unit circle, (2021), Forum of Mathematics, Sigma 9 (2021) E68 1-28. doi:10.1017/fms.2021.60, arXiv: 2102.01779 |
| Selected Recent Publications (past 2 years only) (19) | N. Crampé, L. Vinet, M. Zaimi, Braid group and q-Racah polynomials, (2021) accepted for publication in Proceedings of the American Mathematical Society, arXiv:2106.02416 |
| Selected Recent Publications (past 2 years only) (20) | N. Crampé, L. Poulain D’Andecy, L. Vinet, A Calabi-Yau algebra with E6 symmetry and the Clebsch-Gordan series of sl(3), Journal of Lie Theory 31, (2021), 1085-1112, arXiv: 2005.13444 |
| Recent Invited Talks and Lectures (past year only) (1) | An explanation of the commuting operator "miracle" in time and band limiting, Speaker, SS 13A – Special Session on Quantum Probability, Orthogonal Polynomials, and Special Functions, 2022, Spring Eastern Virtual Sectional Meeting, Tufts University, online, March 2022. |
| Recent Invited Talks and Lectures (past year only) (2) | The time and band limiting "miracle" explained, Speaker, Workshop on Asymptotic Analysis, Orthogonal Polynomials, and Special Functions, 2021 CMS Winter Meeting, Canada, online, December 2021. |
| Recent Invited Talks and Lectures (past year only) (3) | Entanglement of fermions on Hamming and Johnson graphs, Speaker and Organizer, Workshop on Algebraic Graph Theory and Quantum Information, Fields Institute, Toronto, Canada, online, August 2021. |
| Recent Invited Talks and Lectures (past year only) (4) | Virtuous circles – A tribute to Pavel Winternitz, Invited Talk, Group theoretical methods in physics, A commemorative meeting in honour of Pavel Winternitz at the CRM, online, July 2021. |
| Recent Invited Talks and Lectures (past year only) (5) | The biorthogonal Askey polynomials on the unit circle and the meta-Jacobi algebra, Invited Talk, Session on Special Functions and Orthogonal Polynomials, Mathematical Congress of the Americas, online, July 2021. |
| Recent Invited Talks and Lectures (past year only) (6) | Entanglement of Fermions on Graphs (of Association Schemes), Invited Talk, Session Quantum Materials and Quantum Symmetries, 75th Anniversary Meeting of the CMS, online, June 2021. |
| Recent Invited Talks and Lectures (past year only) (7) | Towards a unified algebraic description of hypergeometric polynomials and rational functions, Invited Talk, Special session on the legacy of Dick Askey, JMM 2021, online, January 2021. |
| Recent Invited Talks and Lectures (past year only) (8) | Révolution 4.0, révolution de la donnée, Keynote Speaker, Forum Excellence industrielle : Lean 4.0 et coninuité numérique: Pour en finir avec les silos, Montréal, Canada, online, November 2021. |
| Recent Awards, Distinctions, Prizes (past 2 years) (1) | Member, Order of Canada, The Governor General of Canada, 2021 |
| Recent Awards, Distinctions, Prizes (past 2 years)(2) | Fellow of the Canadian Mathematical Society, 2019 |
| Recent Visiting Positions, Sabbatical Leaves (past 2 years only) | Perimeter Institute Affiliate (2021 -)
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| Recent conferences organized or co-organized (past 2 years only) (1) | L. Vinet, Symmetries, Thematic Semester, Centre de Recherches Mathématiques, Montréal, May – December 2022. |
| Recent conferences organized or co-organized (past 2 years only) (2) | H. De Bie, J.F. van Diejen, E. Koelink, A. Loureiro, F. Marcellan, S. Post, M. Rosler, L. Vinet, International Conference on Orthogonal Polynomials, Special Functions and Applications – OPSFA 16, Montréal, June 2022 |
| Recent conferences organized or co-organized (past 2 years only) (3) | M. Ismail, L. Vinet, Minisymposium on New Developments in the Theory and Applications of Orthogonal Polynomials and Special Functions, 2020 SIAM Annual Meeting, Toronto, July 2020; |
| Recent conferences organized or co-organized (past 2 years only) (4) | A. Chan, G. Coutinho, K. Guo, C. Tamon, L. Vinet, H. Zhan, Algebraic Graph Theory and Quantum Information, Fields Institute, Toronto, May 2020 |
