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)  Xiaohong Zhang, 2022 
Postdoctoral Fellows with dates (current and since last year) (2)  Gilles Parez, 2021 
Postdoctoral Fellows with dates (current and since last year) (3)  Clément Berthière, 20212022 
Postdoctoral Fellows with dates (current and since last year) (4)  Simeon Artamanov, 20212022 
Students with dates (current and since last year) and affiliation (1)  Simone Têtu, B.Sc. U. McGill, 2023 
Students with dates (current and since last year) and affiliation (2)  Abderahmane Bouziane, B.Sc., Université de Montréal, Été 2023 
Students with dates (current and since last year) and affiliation (3)  Vutha Vichhea Chea, B.Sc. Université de Montréal, Été 2023 et été 2022 
Students with dates (current and since last year) and affiliation (4)  Gabrielle Blanchet, M. Sc., Université de Montréal, 2023 
Students with dates (current and since last year) and affiliation (5)  Ismaël Bussières, M. Sc., Université de Montréal, 2023 
Students with dates (current and since last year) and affiliation (6)  Pierre Antoine Bernard, Ph.D., Université de Montréal, 2021 
Students with dates (current and since last year) and affiliation (7)  Meri Zaimi, Ph.D., Université de Montréal, 2020 
Student with dates (current and since last year), and affiliation (8)  Gauvain Carcone, M. Sc., Université de Montréal, 20212023 
Student with dates (current and since last year), and affiliation (9)  Jonathan Pelletier, M.Sc., Université de Montréal, 20212022 
Student with dates (current and since last year), and affiliation (10)  Dounia Shaaban Kabakibo, M.Sc., Université de Montréal, 20202021 
Visiting Researchers with exact dates (current and since last year) and affiliation (1)  Éric Ragoucy, December 2023 – January 2024 
Visiting Researchers with exact dates (current and since last year) and affiliation (2)  Nicolas Crampé, U. de Tours, SeptemberOctober 2023 
Visiting Researchers with exact dates (current and since last year) and affiliation (3)  Satoshi Tsujimoto, March 1527 2023 
Visiting Researchers with exact dates (current and since last year) and affiliation (4)  Alexei Zhedanov, Renmin University, January 2020August 2023 
Visiting Researchers with exact dates (current and since last year) and affiliation (5)  Nikita Nekrasov, February 2324 2023 
Selected Recent Publications (past 2 years only) (1)  N. Crampe, L.Vinet, M. Zaimi, X. Zhang, A bivariate Qpolynomial structure for the nonbinary Johnson scheme, Journal of Combinatorial Theory, Series A, 202, 105829 (2024), doi.org/10.1016/j.jcta.2023.105829, arXiv:2306.01882. 
Selected Recent Publications (past 2 years only) (2)  J. Pelletier, L. Vinet, A. Zhedanov, ParaBannaiIto polynomials, Sigma 19, 090 (2023), doi.org/10.3842/SIGMA.2023.090, arXiv: 2209.10725rm 
Selected Recent Publications (past 2 years only) (3)  P. A. Bernard, Z. Mann, G. Parez, L. Vinet, Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes, Journal of Physics A: Mathematical and Theoretical 57, 015002 (2023), DOI 10.1088/1751 8121/ad0f4a, arXiv:2307.03345 
Selected Recent Publications (past 2 years only) (4)  N. Crampe, J. Gaboriaud, L. P. d’Andecy, L. Vinet (2023). Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions, Journal of Mathematical Physics, 64, 111702 (2023), doi.org/10.1063/5.0173787, arXiv:2308.12809. Publications retenue comme "Editor’s Pick" 
Selected Recent Publications (past 2 years only) (5)  P.A. Bernard, G. Carcone, N. Crampe, L. Vinet, Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz, SciPost Physics Proceedings – 34th International Colloquium on Group Theoretical Methods in Physics 14, 018 (2023), , doi: 10.21468/SciPostPhysProc.14.018, arXiv:2212.09805 
Selected Recent Publications (past 2 years only) (6)  N. Crampé, H. De Bie, P. Iliev, L. Vinet, Superspace realizations of the Bannai–Ito algebra, Letters in Mathematical Physics, 113:108 (2023), DOI: 10.1007/s11005023017316, arXiv:2306.02714 
Selected Recent Publications (past 2 years only) (7)  P.A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Johnson Graphs, Journal of Mathematical Physics, 64, 061903 (2023), https://doi.org/10.1063/5.0099879, arXiv:2104.11581 
Selected Recent Publications (past 2 years only) (8)  G. Parez, P.A. Bernard, N. Crampe, L. Vinet, Multipartite information of free fermions on Hamming graphs, Nuclear Physics B, Volume 990 (2023) 116157, arXiv:2212.09158 
Selected Recent Publications (past 2 years only) (9)  V. Vichhea Chea, L. Vinet, M. Zaimi and A. Zhedanov, An algebraic treatment of the Pastro polynomials on the real line, Proc. Amer. Math. Soc. 151 (2023), 44054418, DOI: https://doi.org/10.1090/proc/16458, arXiv:2210.15260 
Selected Recent Publications (past 2 years only) (10)  P.A. Bernard, N. Crampé, L. Vinet, An explanation of the commuting operator "miracle" in time and band limiting, Journal of Fourier Analyses and Applications, 29, 22 (2023), arXiv:2201.03646 
Selected Recent Publications (past 2 years only) (11)  N. Crampé, L. Poulin d’Andecy, L. Vinet, M. Zaimi, AskeyWilson braid algebra and centralizer of U q(sl2), Annales Henri Poincaré, 24, 18971922 (2023), arXiv: 2206.11150 
Selected Recent Publications (past 2 years only) (12)  H. Miki, S. Tsujimoto, L. Vinet, The singleindexed exceptional Krawtchouk polynomial, Journal of Difference Equations and Applications (2023) 29:3, 344365, DOI: 10.1080/10236198.2023.2202283, arXiv: 2201.12359 
Selected Recent Publications (past 2 years only) (13)  P.A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Hamming Graphs, Nuclear Physics, Section B 986 (2023)116061, arXiv:2103.15742 
Selected Recent Publications (past 2 years only) (14)  P.A. Bernard, G. Carcone, N. Crampe, L. Vinet, Bethe ansatz diagonalization of the HeunRacah operator, Letters in Mathematical Physics 113, 8 (2023), arXiv: 2209.09213 
Selected Recent Publications (past 2 years only) (15)  N. Crampé, L. Poulain d’Andecy, L. Vinet, The missing label of su3 and its symmetry, Communications in Mathematical Physics, 400, 179213 (2023), arXiv:2110.03521 
Selected Recent Publications (past 2 years only) (16)  H. Miki, S. Tsujimoto, L. Vinet, Classical and quantum walks on paths associated with exceptional Krawtchouk polyno mials, Journal of Mathematical Physics, 63, 103502 (2022), arXiv:2201.02337 
Selected Recent Publications (past 2 years only) (17)  PA. Bernard, N. Crampé, R. I. Nepomechie, G. Parez, L. Poulain d’Andecy, L. Vinet, Entanglement of inhomogeneous free fermions on hyperplane lattices, Nuclear Physics, Section B, 984, (2022), arXiv: 2206.06509 
Selected Recent Publications (past 2 years only) (18)  P.A. Bernard, N. Crampé, L. Vinet, Time and band limiting operator and Bethe ansatz, J. Phys. A: Math. Theor., 55 (2022) 285201, arXiv: 2201.04589 
Selected Recent Publications (past 2 years only) (19)  L. Vinet, A. Zhedanov, Free boson realization of the Dunkl intertwining operator in one dimension, Reviews in Mathe matical Physics, Vol. 34, No. 08, 2250025 (2022), arXiv:2202.03139 
Selected Recent Publications (past 2 years only) (20)  H. Miki, S. Tsujimoto, L. Vinet, Perfect state transfer in two dimensions and the bivariate dualHahn polynomials, Prog. Theor. Exp. Phys., Volume 2022, Issue 5, (2022), 053A01, arXiv: 2009.06195 
Recent Invited Talks and Lectures (past year only) (1)  Entanglement of freefermion systems, signal processing and algebraic combinatorics, Algebraic Combinatorics Seminar, U. WisconsinMadison Mathematics, En ligne, 29 Janvier 2024 
Recent Invited Talks and Lectures (past year only) (2)  mdistance regular graphs and multivariate Ppolynomial association schemes, Session scientifique Algebraic Graph Theory for Walking on Graphs dans le cadre de la réunion d’hiver 2023 de la Société mathématique du Canada Winter Meeting, Montréal, 3 décembre 2023 
Recent Invited Talks and Lectures (past year only) (3)  Entanglement of free fermiom systems, signal processing and algebraic combinatorics, Session scientifique Recent Progress in Statistical Mechanics dans le cadre de la réunion d’hiver 2023 de la Société mathématique du Canada Winter Meeting, Montréal, 2 décembre 2023 
Recent Invited Talks and Lectures (past year only) (4)  Entanglement of fermionic systems, signal processing and association schemes, Séminaire CQUeST, Séoul, Corée du Sud, Septembre 2023 
Recent Invited Talks and Lectures (past year only) (5)  Entropy entanglement of free fermion systems, signal processing and algebraic combinatorics, Gravity Strings and Fields: a conference in honour of Gordon Semenoff, CRM, Montréal, Août 2023 
Recent Invited Talks and Lectures (past year only) (6)  Bivariate Ppolynomial association schemes, 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japon, Août 2023 
Recent Invited Talks and Lectures (past year only) (7)  Bivariate PPolynomial Association Schemes, Minisymposium Association Schemes and Related Algebras de 10th Slove nian Conference on Graph Theory, Kranjska Gora, Slovenie, Juin 2023 
Recent Invited Talks and Lectures (past year only) (8)  Bivariate P polynomial association schemes or Entanglement of free Fermions on graphs, Australian and New Zealand Association of Mathematical Physics (ANZAMP) Annual Meeting 2023, Hobart, Tasmanie, Australie, Février 2023 
Recent Invited Talks and Lectures (past year only) (9)  Bivariate Ppolynomial association schemes, Conférencier, Session Algebraic and Spectral Graph Theory, 2022 CMS Win ter Meeting, Toronto, Canada, Décembre 2022 
Recent Invited Talks and Lectures (past year only) (10)  Hommage à John Harnad Le rôle des systèmes intégrables – Atelier dédié à John Harnad, CRM, Décembre 2022 
Recent Awards, Distinctions, Prizes (past 2 years) (1)  Urgel Archambault Prize, ACFAS, 2022 
Recent Awards, Distinctions, Prizes (past 2 years)(2)  Member, Order of Canada, The Governor General of Canada, 2021 
Recent Awards, Distinctions, Prizes (past 2 years)(3)  Fellow, Canadian Mathematical Society, 2019 
Recent Visiting Positions, Sabbatical Leaves (past 2 years only)  Perimeter Institute Affiliate (2021 )

Recent conferences organized or coorganized (past 2 years only) (1)  S.Tsujimoto, H. Miki, L. Vinet, Recent topics on generalized orthogonal polynomials and their applications,10th Interna tional Congress on Industrial and Applied Mathematics – ICIAM 2023, Tokyo, Japon, Août 2023 
Recent conferences organized or coorganized (past 2 years only) (2)  L. Vinet, Symmetries, Thematic Semester, Centre de Recherches Mathématiques, Montréal, May – December 2022. 
Recent conferences organized or coorganized (past 2 years only) (3)  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 coorganized (past 2 years only) (4)  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 coorganized (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 