My research focuses on finding precise solutions to physics models. I work on designing systems for the perfect transfer of quantum information. I study the (random) quantum walks used in the development of quantum calculation algorithms. I examine the asymmetrical exclusion processes that apply in a large number of fields like biopolymerization and traffic-flow problems. My research also deals with stochastic processes used in genetic modelling. A large proportion of my work is devoted to integrable or superintegrable systems, so called because they have many conservation laws. They are important in theoretical terms and have many applications. The methodology underlying my research is based in part on the study of symmetries. I am also working to develop their mathematical description in terms of algebraic structures and orthogonal polynomials and special functions.

Luc Vinet is Aisenstadt Professor of Physics at the Université de Montréal and was appointed as Chief Executive Officer of IVADO in August 2021. Born in Montréal, he holds a doctorate from the Université Pierre et Marie Curie (Paris) and a Ph.D. from the Université de Montréal, both in theoretical physics. After two years as a Research Associate at MIT, he was appointed  Assistant Professor in the Physics Department at the Université de Montréal in the early 1980s and promoted to full professorship in 1992. His research interests in theoretical and mathematical physics include: exactly solvable problems, symmetries, algebraic structures, special functions and quantum information.

In 1999, Luc Vinet joined McGill University where he held the position of Vice-Principal (Academic) and Provost. From 2005 to 2010, he was the Rector of the Université de Montréal. He was also the Director of the Centre de recherches mathématiques (CRM) of the Université de Montréal, from 1993 to 1999 and again from 2013 to 2021. In addition to being a founding director of MITACS, a Canadian Network of Centres of Excellence, he was instrumental in the creation of many other leading research institutes in Québec and Canada. Professor Vinet has received  numerous honours and distinctions. In particular, he was awarded the Armand-Frappier Prize of the Government of Québec in 2009 and the 2012 CAP-CRM Prize in Theoretical and Mathematical Physics; he holds an honorary doctorate from the Université Claude-Bernard (Lyon); in 2017, he was made Officer of the Ordre national du Québec; he was elected Fellow of the Royal Society of Canada in 2018 and he is a Fellow of both the American and Canadian Mathematical Societies; in 2021 he was made a Member of the Order of Canada.

• Membre du Laboratoire de physique mathématique du Centre de recherches mathématiques de l'UdeM

• 2021-...: Directeur général, IVADO
• 2013-2021: Directeur, Centre de Recherches Mathématiques
• 2005-2010: Recteur, Université de Montréal
• 1993-1999: Directeur, Centre de Recherches Mathématiques

Luc Vinet, professor at the Department of Physics of Université de Montréal, CEO of IVADO and member of the Centre de recherches mathématiques (CRM), has openings in his research team.

Numerous graduate students, postdoctoral fellows and undergraduate interns are part of his group within the CRM. The research topics cover a fairly broad spectrum in mathematical physics bearing on symmetries, integrable and exactly solvable systems, quantum information, representation theory, algebraic combinatorics, orthogonal polynomials and special functions.

Postdoctoral fellowship positions are currently available. The salary is competitive.

Required profile

• For the candidate to be eligible, tenure of the fellowship must take place within 5 years of obtaining a PhD in Physics or Mathematics.
• The candidate must have research experience in the areas of the team;

Flexibility will be applied for candidates justifying career breaks and special circumstances. Applicants are invited to mention that in their application (examples: maternity, illness, etc.).

We also encourage applications from people who obtained their PhD outside of Quebec.

Our commitment for Equity, Diversity and Inclusion

In order that the advancement of knowledge and opportunities in the field of natural sciences and engineering equitably benefits all members of society, we promote the principles of equity, diversity and inclusion as offered at IVADO and the CRM. We are committed to providing an inclusive, non-discriminatory, open and transparent recruitment process and research environment.

Your application

Please submit your application by email to josee.savard@ivado.ca, including:

• A cover letter;
• Your c.v. including your publications
• Your official PhD transcripts;
• Three (3) letters of recommendation. They can be sent directly by email to josee.savard@ivado.ca.

Deadline : December 15th, 2021

Please note that applications received after this date will be considered only if positions are still vacant.

Centre de recherches mathématiques

The Centre de recherches mathématiques (CRM), an academic member of IVADO, is a major hub in mathematical sciences recognized worldwide for its thematic programming, scientific workshops, outreach and internship activities.

1. Xiaohong Zhang, 2022-.
2. Clément Berthière, 2021- , boursier CRM- Simons.
3. Gilles Parez, 2021- , boursier CRM-ISM.
4. Simeon Artamonov, 2021-, boursier CRM-Simons.
5. Krystal Guo, 2019-2020, présentement Assistant Professor, Université d’Amsterdam, Pays-Bas.
6. Hanmeng Zhan, 2018-2019, présentement York Postdoctoral Fellow, York University.
7. Guo-Fu Yu, 2012-2013, présentement Associate Professor, Shanghai Jiao Tong University, Chine.
8. Sarah Post, 2010-2013, présentement Associate Professor, University of Hawaii, USA.
9. Luc Lapointe, 1999-2000, présentement Professeur, Universidad de Talca, Chili.
10. Paul Bracken, 1997-2000, présentement Full Professor, University of Texas, USA.
11. Philippe Zaugg, présentement Senior portfolio manager, CPP Investment Board.
12. Jan Felipe van Diejen, 1995 - 1997, présentement Professeur, Universidad de Talca, Chili.
13. Vadim Kuznetsov, 1995-1996.Vyacheslav Spiridonov, 1993-1996, présentement membre du Bogolyubov Institute for Theoretical Physics, Dubna, Russie.
14. Robert Weston, 1993-1995, présentement Full Professor, Heriot-Watt University, GB.
15. André Watts, 1993-1995, présentement Reader, Kings College Londres, GB.
16. Hamid Bougourzi,1993-1995.
17. Didier Depireux, 1993-1994, présentement Associate research scientist, University of Maryland, USA.
18. László Féhér, 1991-1992, présentement Full Professor, University of Szeged, Hongrie.
19. Ralph Girard, 1989-1990, présentement gestionnaire, Agence Spatiale du Canada.
20. Haralambos Panagopoulos, 1984-1985, présentement Full Professor, University of Cyprus.

1. Jonathan Pelletier, M.Sc., 2021-2022, Université de Montréal.
2. Gauvain Carcone, M.Sc., 2021-, Université de Montréal.
3. Pierre- Antoine Bernard, M.Sc., 2020-2021, Ph.D. 2022- , Université de Montréal.
4. Meri Zaimi, M.Sc., 2019-2020, Ph.D., 2020-, Université de Montréal.
5. Dounia Shaaban Kabakibo, M.Sc., 2020-2021, Université de Montréal.
6. Charles-Alexandre Bédard, Ph.D., 2014-2019, Université de Montréal.
7. Geoffroy Bergeron, M.Sc., 2013-2015, Ph.D., 2015-2021, Université de Montréal.
8. Éric-Olivier Bossé, M.Sc., 2016-2017, Université de Montréal.
9. Julien Gaboriaud, M.Sc., 2016-2017, Ph.D., 2017-2021, Université de Montréal.
10. Vincent X. Genest, Ph.D., 2011-2015, Université de Montréal.
11. Cristina Greavu, M.Sc., 2012-2014, Université de Montréal.
12. Andréanne Lapointe, M.Sc., 2013-2014, Université de Montréal.
13. Jean-Michel Lemay, Ph.D., 2014-2019, Université de Montréal.
14. Hiroshi Miki, Ph.D., 2011-2012, Kyoto University.
15. Wouter van de Vijver, Ph.D., 2015-
16. Igor Loutsenko, Ph.D., 1994-1998.
17. Pascal Létourneau, M.Sc., 1993-1994.
18. Luc Lapointe, Ph.D., 1992-1997.
19. Simon Labelle, M.Sc., 1985-1987.
20. Michel Mayrand, M.Sc., 1984-1985.
21. Jean-Marc Lina, Ph.D., 1984-1990.
22. Stéphane Durand, M.Sc., 1984-1985, Ph.D., 1985-1990.
23. Louis Benoit, M.Sc., 1984-1986, Université de Montréal.

1. Simone Têtu, 2022
2. Vutha Vichhea Chea, 2022, BRPC CRSNG.
3. Zachary Mann, 2022, BRPC CRSNG.
4. Hugo Schérer, 2021, BRPC CRSNG.
5. Ismaël Bussière, 2021, Bourse d’été de premier cycle CRM-ISM.
6. André Beaudoin, 2020, BRPC CRSNG.
7. Antoine Brillant, 2020, Bourse d’été de premier cycle CRM-ISM.
8. Dounia Shaaban Kabakibo, 2019.
9. Serge Hamoudou, BRPC CRSNG, 2018.
10. Amélie Allard,BRPC CRSNG, 2017.
11. Gabriel Longchamp, BRPC CRSNG, 2017.
12. Meri Zaimi, BRPC CRSNG, 2017.
13. Erika Loranger, stagiaire d’été - gagnante du prix Marie Curie, 2017.
14. Mathieu Giroux, stagiaire d’été, 2017.
15. Pierre- Antoine Bernard, stagiaire d’été, 2017, BRPC CRSNG, 2018.
16. Jérémi Dudemaine, projet de fin d’études, 2016.
17. Michael Laplante, stagiaire d’été, 2016.
18. Noellie Chauvet, stagiaire d’été, 2016.
19. Jean-Philippe Chassé, BRPC CRSNG, 2015.
20. Jean-Pascal Guévin, BRPC CRSNG, 2015.
21. Éric-Olivier Bossé, Bourse d’été de premier cycle, ISM, 2015,projet de fin d’études, 2016.
22. Maxime Tremblay, Bourse d’été de premier cycle, ISM, 2015.
23. Julien Gaboriaud, BRPC CRSNG, 2014,projet de fin d’études, 2016.
24. Jessica Lemieux, BRPC CRSNG, 2014.
25. Cyril Lagger, projet de fin d’études, 2013.
26. Silvia Pappalardi, stagiaire d’été, 2013.
27. Loutfi Kuret, projet de fin d’études, 2013.
28. Geoffroy Bergeron, BRPC CRSNG, 2012.
29. Arnaud Carignan-Dugas, BRPC CRSNG, 2012, projet de fin d’études, 2013.
30. Guillaume Painchaud, BRPC CRSNG, 2012.
31. Charles-Alexandre Bédard, stagiaire d’été, 2011, 2012.
32. François Sabourin, stagiaire d’été, 2011, 2012.
33. Jean-Michel Lemay, stagiaire d’été, 2011,BRPC CRSNG, 2012, 2013.
34. Jean-Sébastien Caux, assistant de recherche, 1993, 1994, Boursier Rhodes, 1994.

2023

• Janvier 2023 Mémoire de maitrise F. Boileau
• Janvier 2023 Examen prédoctoral de D. Shaaban Kabakibo

2022

• Janvier 2022 Soutenance de Doctorat C. Boudreault
• Février 2022 Mémoire de Maitrise de D. Shaaban Kabakibo
• Mai 2022 Examen prédoctoral de P. A. Bernard
• Septembre 2022 Examen prédoctoral de L. Lyu
• Novembre 2022 Mémoire de maîtrise de J. Pelletier

2021

• Avril 2021 - Examen prédoctoral (Membre) de V. Teska
• Mai 2021 - Soutenance de Doctorat (Président) de M. Myronova
• Juin 2021 - Examen prédoctoral de A. Khosravi
• Juillet 2021 - Soutenance de Doctorat (Superviseur) de G. Bergeron
• Août 2021 - Examen prédoctoral de M. Zaimi
• Août 2021 - Mémoire de Maitrise (Président) de A. Vigeant
• Août 2021 - Soutenance de Doctorat (Superviseur) de J. Gaboriaud
• Septembre 2021 - Examen prédoctoral de O. Vincent
• Septembre 2021 - Examen prédoctoral de T. Pinet
• Octobre 2021 Mémoire de Maitrise (Membre) P. Robitaille-Grou U. Montréal
• Novembre 2021 Examen prédoctoral de F. Boileau
• Novembre 2021 Soutenance de Doctorat de J. Gaboriaud

2020

• Août 2020 - Soutenance de Doctorat (Représentant du Doyen) de V. Medvedev
• Septembre 2020 - Mémoire de Maitrise (Membre) de M. Zaimi

2019

• Septembre 2019 - Soutenance de Doctorat (Directeur de thèse) de J.-M. Lemay
• Octobre 2019 - Soutenance de Doctorat (Membre) de Z. Grabowiecka
• Novembre 2019 - Soutenance de Doctorat (Co-Directeur de thèse) de C.-A. Bédard

2018

• Février 2018 - Examen prédoctoral (Membre) de J. Moran
• Février 2018 - Examen prédoctoral (Membre) de V. Massart
• Avril 2018 - Mémoire de Maitrise (Président) de E. Bourret
• Novembre 2018 -  Examen prédoctoral (Membre) de J. Gaboriaud

2017

• Juillet 2017 - Examen pré-doctoral (Membre) de M. Myronova
• Août 2017 - Examen pré-doctoral (Président) de G. Robert Bigras
• Août 2017 - Mémoire de Maitrise (Président) de E. Dupuis
• Août 2017 - Examen pré-doctoral (Membre) de G. Bergeron
• Octobre 2017 - Soutenance de Doctorat (Membre) de P. Raymond-Robichaud

2016

• Mai 2016 - Examen prédoctoral (Membre) de C. A. Bédard
• Mai 2016 - Examen prédoctoral (Membre) de J.-M. Lemay
• Mai 2016 - Soutenance de Doctorat (Membre) de J. Belletête

1. L. Vinet, Symétries, Semestre thématique, Centre de Recherches Mathématiques, Montréal, Juillet - Décembre 2022.
2. H. De Bie, J.F. van Diejen, E. Koelink, A. Loureiro, F. Marcellan, S. Post, M. Rösler, L. Vinet, International Conference on Orthogonal Polynomials, Special Functions and Applications - OPSFA 16, Montréal, Juillet 2022
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, Juillet 2020;
4. A. Chan, G. Coutinho, K. Guo, C. Tamon, L. Vinet, H. Zhan, Algebraic Graph Theory and Quantum Information, FieldsInstitute, Toronto, Mai 2020;
5. R. MacKenzie, M. Paranjape, Y. Saint-Aubin, A. Shapere, L. Vinet, W. Witczak-Krempa, Quantum Theory and Symmetries, Montréal, Juillet 2019;
6. H. Buhrman, M. de la Iglesia, L. Velazquez, L. Vinet, Quantum walks and Information Tasks, BIRS workshop, Banff, Avril 2019;
7. P. Baseilhac, P. Bouwknegt, D. Ridout, Y. Saint-Aubin, L. Vinet, Méthodes algébriques en physique mathématique, Atelier du CRM, Montréal, Juillet 2018;
8. L. Snobl, G. Chadzitaskos, S. Post, L. Vinet, M. Znojil, Doppler Institute - CRM workshop on the occasion of the 80th birthdays of J. Patera and P. Winternitz, Prague, Juin 2016;
9. J. Geronimo, L. Vinet, Orthogonal and Multiple Orthogonal Polynomials, BIRS-CMO workshop, Oaxaca, Août 2015;
10. L. Vinet, Directeur scientifique, Société Mathématique du Canada, Réunion annuelle d’hiver, Montréal, Décembre 2012;
11. J. Harnad, C. Roger, P. Sorba, L. Vinet, Aventures en physique mathématique, Colloque des 25ème Entretiens Jacques-Cartier, Lyon, Novembre 2012;
12. A. Harrow, M.Christandl, G. Chiribella, L. Vinet, Quantum Information and Representation Theory, Session du 29th International Colloquium on Group Theoretical Methods In Physics, Tianjin, Août 2012;
13. E. Farhi, L. Vinet, School on Quantum Information, African Institute for Mathematical Sciences (AIMS), Cape Town, Juin 2012;
14. Y. Saint-Aubin, L. Vinet, Session spéciale en physique mathématique, Réunion annuelle d’été de la Société Mathématiquedu Canada, Régina, Juin 2012.

• Octobre 2017 - Soutenance de Doctorat (Membre externe) de R. Oste, à l'U. Ghent
• Novembre 2017 - Soutenance de Doctorat (Membre externe) de L. Alarie-Vézina à l'U. Laval
• Novembre 2020 - Soutenance de Doctorat (Examinateur externe) de R. Raquépas à l'Université McGill
• Avril 2021- Défense de doctorat interne (Co-superviseur) de W. Van de Vijver à l'U. Ghent

2023

V. Vichhea Chea, L. Vinet, M. Zaimi and A. Zhedanov, An algebraic treatment of the Pastro polynomials on the real line, (2023), accepté pour publications dans Proc AMS, arXiv:2210.15260

N. Crampé, L. Poulin d’Andecy, L. Vinet, M. Zaimi, Askey-Wilson braid algebra and centralizer of Uq(sl2), Annales Henri Poincaré (2023) https://doi.org/10.1007/s00023-023-01275-4, arXiv: 2206.11150

P.-A. Bernard, N. Crampé, L. Vinet, An explanation of the commuting operator "miracle" in time and band limiting,(2023), accepté pour publication dans Journal of Fourier Analyses and Applications, arXiv: 2201.03646

N. Crampe, L. Poulain d'Andecy, L. Vinet, The missing label of su3 and its symmetry, Communications in Mathematical Physics DOI: 10.1007/s00220-022-04596-3 (2023), arXiv: 2110.03521

2022

P.-A. Bernard, N. Crampé, L. Vinet, Entanglement of Free Fermions on Hamming Graphs, Nuclear Physics Section B 986 (2023) 116061, arXiv: 2103.15742

P.-A. Bernard, G. Carcone, N. Crampe, L. Vinet, Bethe ansatz diagonalization of the Heun-Racah operator, Letters in Mathematical Physics (2023) 113:8 DOI:10.1007/s11005-023-01633-7, arXiv: 2209.09213

H. Miki, S. Tsujimoto, L. Vinet, Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials (2022), Journal of Mathematical Physics, 63, 103502 (2022); https://doi.org/10.1063/5.0084854, arXiv: 2201.023374

P-A. 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) 115975, arXiv: 2206.06509

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

L. Vinet, A. Zhedanov, Free boson realization of the Dunkl intertwining operator in one dimension, Reviews in Mathematical Physics (2022) DOI:10.1142/S0129055X22500258, arXiv: 2202.03139

H. Miki, S. Tsujimoto, L. Vinet, Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials, Prog. Theor. Exp. Phys. (2022) 053A01 DOI: 10.1093/ptep/ptac069, arXiv: 2009.06195

N. Crampé, L. Vinet, M. Zaimi, Chern-Simons theory, link invariants and the Askey- Wilson algebra, Nuclear Physics B 982 (2022) 115878, arXiv: 2204.12387

G. Bergeron, J. Gaboriaud, L. Vinet, A. Zhedanov, The rational Sklyanin algebra and the Wilson and para-Racah polynomials, J. Math. Phys., (2022), DOI:10.1063/5.0050471, arXiv: 2103.09631

I. Bussière, J. Gaboriaud, L. Vinet, A. Zhedanov, Bispectrality and biorthogonality of the rational functions of q-Hahn type (2022), J. Math. Anal. Appl. 516 (2022) 126443, arXiv: 2202.05925

P.-A. Bernard, N. Crampé, L. Vinet, The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and Uq(sl2), Discrete Mathematics, 345, 12, 113169 (2022), arXiv: 2108.1389

N. Crampé, D. Shaaban Kabakibo, L. Vinet, The SU(3)⊃SO(3) missing label problem and the analytical Bethe ansatz, International Journal of Modern Physics A, Vol. 37, No. 08, 2250038 (2022), arXiv: 2112.09736

H. Schérer, L. Vinet, A. Zhedanov, A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials, Physics Letters A., 431, 127973 (2022), arXiv: 2110.01042

H. Schérer, L. Vinet, A. Zhedanov, Analytic "Newton’s craddles" with perfect transfer and fractional revival, Annals of Physics, 439, 168790 (2022), arXiv: 2108.09386

N. Crampé, J. Gaboriaud, L. Poulain D’Andecy, L. Vinet, Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincaré series, Annales Henri Poincaré 23, 2657-2682 (2022), arXiv: 2105.01086

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

N. Crampé, L. Vinet, M. Zaimi, Braid group and q-Racah polynomials, Proceedings of the American Mathematical Society, 150, 3, (2022), 951–966, arXiv: 2106.02416

2021

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

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

P.-A. Bernard, N. Crampé, D. Shaaban Kabakibo, L. Vinet, Heun operator of Lie type and the modified algebraic Betheansatz, J. Math. Phys. 62, 083501 (2021), arXiv: 2011.11659

N. Crampé, L. Vinet, M. Zaimi, Temperley-Lieb, Birman-Murakami-Wenzl and Askey- Wilson algebras and other centralizers of Uq(sl2), Annales Henri Poincaré 22, 3499- 3528 (2021) , arXiv: 2008.04905

N. Crampé, R. I. Nepomechie, L. Vinet, Entanglement in Fermionic Chains and Bispectrality, Reviews in Mathematical Physics, 33, 2140001 (2021), reproduit du livre Roman Jackiw 80th Birthday Festschrift, édité par A. Niemi, T. Tomboulis, K.K. Phua (World scientific 2020) arXiv:2001.10576

L. Vinet, A. Zhedanov, A note on su(2) models and the biorthogonality of generating functions of Krawtchouk polynomials, C.R. Math. Rep. Acad. Sci. Canada 43, pp. 46-62 (2021), arXiv:2104.01430

N. Crampé, L. Frappat, J. Gaboriaud, L. Poulain d’Andecy, E. Ragoucy, L. Vinet, The Askey-Wilson algebra and its avatars, J. Phys. A: Math. Theor. 54, 063001 (2021), arXiv:2009.14815

G. Bergeron, J. Gaboriaud, L. Vinet, A. Zhedanov, Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials, J. Math. Phys. 62, 013505 (2021), arXiv: 2008.03266

S. Tsujimoto, L. Vinet, A. Zhedanov, The rational Heun operator and Wilson biorthogonal functions, The Ramanujan Journal (2021), arXiv: 1912.11571

L. Vinet, A. Zhedanov, A unified algebraic underpinning for the Hahn polynomials and rational functions, Journal of Mathematical Analysis and Applications, 497, 124863 (2021) arXiv: 2009.05905

S. Tsujimoto, L. Vinet, A. Zhedanov, An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type, Proc. Am. Math. Soc., 149, 715-728 (2021), arXiv: 2005.04217

Comptes-rendus de conférence avec comité de lecture

L. Vinet, Two entangled and scientifically impactful lives: Jirí Patera, Pavel Winternitz and the Montréal School of Mathematical Physics, dans: Proceedings de 34th edition of the International Colloquium on Group Theoretical Methods in Physics (group34), Strasbourg University, France, soumis à SciPost (2022).

J. Gaboriaud, L. Vinet, S. Vinet, Howe duality and algebras of the Askey-Wilson type: an overview, In: Paranjape M.B., MacKenzie R., Thomova Z., Winternitz P., Witczak-Krempa W. (eds) Quantum Theory and Symmetries. CRM Series in Mathematical Physics. Springer, Cham. (2021)

H. De Bie, W. van de Vijver, L. Vinet, The Racah algebra and sln, In: Paranjape M.B., MacKenzie R., Thomova Z., Winternitz P., Witczak-Krempa W. (eds) Quantum Theory and Symmetries. CRM Series in Mathematical Physics. Springer, Cham. (2021)

H. De Bie, P. Iliev, W. van de Vijver, L. Vinet, The Racah algebra: An overview and recent results, (2020),  in Lie Groups, Number Theory, and Vertez Algebras, Conference on Representation Theory XVI Croatia 2019, Contemporary Mathematics, American Mathematical Society, arXiv:2001.11195

J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The generalized Racah algebra as a commutant, J. Phys.: Conf. Ser.1194 (2019), 012034, arxiv: 1808.09518

H. De Bie, V. X. Genest, W. van de Vijver, L. Vinet, Bannai-Ito algebras and the osp(1,2) superalgebra, in : Duarte S., Gazeau JP., Faci S., Micklitz T., Scherer R., Toppan F. (eds) Physical and Mathematical Aspects of Symmetries - Proceedings of the 31^st International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro, Brazil Springer, Cham. 349-354 (2017), arXiv: 1610.04797

M. Christandl, L. Vinet, A. Zhedanov, Exact state revival in a spin chain with next-to-nearest neighbour interactions,  in : Duarte S., Gazeau JP., Faci S., Micklitz T., Scherer R., Toppan F. (eds) Physical and Mathematical Aspects of Symmetries - Proceedings of the 31^st International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro, Brazil Springer, Cham. 355-360 (2017), arXiv: 1610.04796

V.X.Genest, H. Miki, L. Vinet, A. Zhedanov, Spin lattices, state transfer and bivariate Krawtchouk polynomials, based on the invited talk given by L. Vinet at the Theory Canada 9 conference in Waterloo, Can. J. Phys. 93 (2015), arXiv : 1410.4703

H. De Bie, V.X. Genest, S. Tsujimoto, L. Vinet, A. Zhedanov, The Bannai-Ito algebra and some applications, based on the plenary talk given by L. Vinet at the Group 30 conference in Ghent, J.Phys. :Conf. Ser., 597 012010 (2015), arXiv :1411.3913

V.X. Genest, L. Vinet, A. Zhedanov, The Dunkl oscillator in three dimensions, J.Phys.:Conf. Ser. 512 012010 (2014), arXiv:1312.3877

V.X. Genest, L. Vinet, A. Zhedanov, The Racah algebra and superintegrable models J.Phys.:Conf. Ser. 512 012011 (2014), arXiv:1312.3874

H. Miki, S. Post, L. Vinet, A. Zhedanov, A finite model of the oscillator in two dimensions with SU(2) symmetry (2013), Proceedings of the 29th International Colloquium on Group Theoretical Methods in Physics, Tianjin, China, World Scientific, Symmetries and Groups in Contemporary Physics pp. 217-222

V.X. Genest, L. Vinet, A. Zhedanov, On the Racah coefficients of sl¡1(2) and Bannai-Ito polynomials (2013), Proceedings of the 29th International Colloquium on Group Theoretical Methods in Physics, Tianjin, China, World Scientific, Symmetries and Groups in Contemporary Physics pp.611 -614

L. Vinet, A. Zhedanov, Dual -1 Hahn polynomials and perfect state transfer, J.Phys.: Conf. Ser., 343 (2012) 012125, arXiv: 1110.6477

S. Tsujimoto, L. Vinet, A. Zhedanov, Classical Orthogonal Polynomials and Bannai-Ito Polynomials (Japanese) , in RIAM Symposium Proceedings, Kyushu University (2012) pp. 141-146

B. Sanborn, S. Suslov, L. Vinet, Dynamical Invariants and Berry’s Phases for Generalized Driven Harmonic Oscillators, Journal of Russian Laser Research, 32, (2011), 486, arXiv: 1108.5144

L. Vinet, A. Zhedanov, d-Orthogonal Charlier polynomials and the Weyl algebra, J. Phys.: Conf. Ser. 284 (2011) 012060

H. Ujino, L. Vinet, H. Yoshida, Another derivation of the super-integrable discretization of the Calogero model for the two-body case, in Proceedings of the "XXV International Colloquium on Group Theoretical Methods in Physics", Cocoyoc, Mexique, (2004).

L. Vinet, A. Zhedanov, Generalized little q-Jacobi polynomials as eigen-solutions of higher-order q-difference operations, in Proceedings of the American Mathematical Society conference, (2000).

V. Spiridonov, L. Vinet, A. Zhedanov, Bispectrality and Darboux Transformation in "Theory of Orthogonal Polynomials", Proceedings of the Workshop "The Bispectral Problem", A. Kasman and J. Harnad Eds., CRM, Vol. 14, pp. 111-122, (1997).

L. Lapointe, L. Vinet, Creation Operators for Macdonald Polynomials and Affine Hecke Algebras, in Proceedings of the 21^st ICGTMP, Goslar, Germany, pp. 333-344, (1997).

L. Lapointe, L. Vinet, Operator Construction of the Jack and Macdonald Symmetric Polynomials, in Proceedings of "Workshop on Special Functions Differential Equations", Madras, India, (1996).

R. Floreanini, L. Vinet, Basic Bessel Functions and q-Difference Equations, in "Symmetries and Integrability of Difference Equations", D. Levi., L. Vinet and P. Winternitz Eds, AMS, pp. 113-123, (1996).

L. Lapointe, L. Vinet, Exact Operator Solution of the Calogero-Sutherland Model and Jack Polynomials, in "CAPWorkshop on Theoretical and Mathematical Physics", F. Khanna and L. Vinet Eds., Springer-Verlag, pp. 109-119, (1997).

R. Floreanini, L. Vinet, Quantum Symmetries, in Proceedings of the IV Wigner Symposium, T. Seligman Ed., World Scientific, Singapore, pp. 383-391, (1995).

R. Floreanini, L. Vinet, Symmetries of q-Deformed Heat Equations, in "Nonlinear, Deformed, Irreversible Quantum Systems", H.-D. Doebner, V.K. Dobrev and P. Nattermann, Eds., World Scientific, pp. 385-400, (1995).

V. Spiridonov, L. Vinet, A. Zhedanov, Discrete Schrödinger Equation, Darboux Transformation and Orthogonal Polynomials in "Symmetries and Integrability of Difference Equations", D. Levi, L. Vinet and P. Winternitz Eds. American Mathematical Society, pp. 363-369, (1996).

L. Vinet, P. Létourneau, Dynamical Polynomial Algebras in Quantum Mechanics in "Symmetry Methods in Physics", A.N. Sissakian, G. Pogosyan, S.I. Vinitsky Eds., (Dubna, Russia), pp. 563-583, (1994).

L. Lapointe, L. Vinet, Appell Functions and the Pöschl-Teller Potential in "Generalized Symmetries in Physics", H.-D. Doebner, V. Dobrev, A. Ushveridze Eds., World Scientific (Singapore), (1994).

V. Spiridonov, L. Vinet, A. Zhedanov, Difference Schrödinger Operators with the Fixed Symmetry Properties in Proceedings of the "XXII International Conference on Differential Geometric Methods in Theoretical Physics", Ixtapa, Mexico, September 20-24, Jaime Keller and Zbigniew Oziewicz, Eds., Clifford Algebras supp. 1, UNAM, pp. 471-481, (1994).

R. Floreanini, A. Morozov, L. Vinet, Q-Hypergeometric Functions, Quantum Algebras and Free Fields, in Proceedings of the "III International Conference on Mathematical Physics, String Theory and Quantum Gravity", Theoretical and Mathematical Physics, 98, no. 3, pp. 379-387, (1994).

A. Mironov, A. Morozov, L. Vinet, On a c-Number Quantum Tau-Function in the Proceedings of the "III International Conference on Mathematical Physics, String Theory and Quantum Gravity", Theoretical and Mathematical Physics, 100, no. 1, pp. 119-131, (1994).

P. Létourneau, L. Vinet, Quadratic Algebras in Quantum Mechanics in "Symmetries in Science VII: Spectrum Generating Algebras and Dynamic Symmetries in Physics", B. Gruber and T. Otsuka Eds., Plenum Press (New York), pp. 373-382, (1994).

R. Floreanini, L. Vinet, An Algebraic Interpretation of the Basic Hypergeometric Functions rÁs in "Symmetries in Science VI: From the Rotation Group to Quantum Algebras", B. Gruber Ed., Plenum Press (New York), pp. 235-247, (1993).

R. Floreanini, L. Vinet, The Quantum Algebra Approach to q-Special Functions in Proceedings of the "XXI International Colloquium on Differential Geometric Methods in Theoretical Physics", M.-L. Ge Ed., World Scientific (Singapore), C.N. Yang et al, Eds., International Journal of Physics, supp. 3a, (1993).

R. Floreanini, L.Vinet, Representations of Quantum Algebras and q-Special Functions, in "Quantum Symmetries", H.-D. Doebner and V.K. Dobrev Eds., World Scientific, Singapore, pp. 264-287, 1993.

R. Floreanini, L. Vinet, Quantum Algebras and Quantum Groups in q-Special Function Theory in "Quantum Groups, Integrable Models and Statistical Systems", J. Letourneux, L. Vinet Eds., World Scientific, Singapore, pp. 83-93, (1993).

R. Floreanini, J. LeTourneux, L. Vinet, Polynomials of a Discrete Variable and Quantum Mechanics in "Quantum Groups, Integrable Models and Statistical Systems", J. LeTourneux, L. Vinet Eds., World Scientific, Singapore, pp. 94-104, (1993).

D. Levi, L. Vinet, P.Winternitz, Symmetries of a Classical Chern-Simmons Theory, in "Quantum Groups, Integrable Models and Statistical Systems", J. LeTourneux, L. Vinet Eds., World Scientific, Singapore, pp. 148-158, (1993).

R. Floreanini, L. Vinet, Quantum Algebras and Quantum Groups in q-Special Function Theory in "Integrable Systems, Quantum Groups, and Quantum Field Theories", L.A. Ibort and M.-A. Rodriguez Eds., NATO ASI series, Kluwer Academic Publishers, pp. 83-94, (1993).

R. Floreanini, L. Vinet, Quantum Algebras, Quantum Groups and q-Special Functions in the Proceedings of the "XIX International Colloquium on Group Theoretical Methods in Physics", J. Mateos-Guilante, M.A. del Olmo and M. Santander Eds., Anales de Fisica, Monografias, CIEMAT, vol. I, pp. 210-214, (1993).

R. Floreanini, L. Vinet, Quantum Algebra Approach to q-Bessel Functions, in the Proceedings of the "XIX International Colloquium on Group Theoretical Methods in Physics", J. Mateos-Guilante, M.A. del Olmo and M. Santander Eds., Anales de Fisica, Monografias, CIEMAT, vol. I, pp. 103-106, (1993).

R. Floreanini, J. LeTourneux, L. Vinet, Polynomials of a Discrete Variable, Dynamical Symmetries and Quantum Mechanics in the "Proceedings of the XIX International Colloquium on Group Theoretical Methods in Physics", J. Mateos-Guilante, M.A. del Olmo and M. Santander, Eds., Anales de Fisica, Monografias, CIEMAT, vol. I, pp. 387-390, (1993).

N. Nakasato, L. Muresan, L. Vinet, C. Baumgartner, D.S. Barth and W.W. Sutherling, Localization and Quantification of the Human Epileptic Spike Zone Using MEG, EEG, MRI and Evoked Responses with Validation by ECoG, Biomagnetism: Clinical aspects, M. Hoke et al., Eds, (1992).

W.W. Sutherling, N. Nakasato, L. Muresan, L. Vinet, C. Baumgartner and D. Barth, Comparison of EEG, ECoG, MRI and Seven Versus 31 Channels of MEG for Noninvasive Localization of the Somatosensory Evoked Response, Biomagnetism: Clinical aspects, M. Hoke et al., Eds., (1992)

R. Floreanini, L. Vinet, q-Oscillators and Quantum Superalgebras in "Topological and Geometrical Methods in Field Theory", J. Mickelsson et O. Pekonen, Eds., World Scientific, pp. 147-152, (1992).

S. Durand, R. Floreanini, M. Mayrand, V.P. Spiridonov, L. Vinet, Parasupersymmetries and Fractional Supersymmetries in "Quantum Field Theory, Quantum Mechanics and Quantum Optics", Eds. V.V. Dodonov, V.I. Manko, Nova Science, pp. 145-154, (1991).