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Luc Vinet

Members

Name

Luc Vinet

Affiliation

Université de Montréal

Email

vinet@crm.umontreal.ca

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 -)
Université de Tours CNRS Invited Researcher (2021)
Université Savoie-Mont-Blanc Visiting Professor (2021)

 

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

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