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Natural Sciences and Engineering; Fundamental Sciences

Luc Vinet

Physical models, study of symmetries and descriptions in terms of algebraic structures

Professeur titulaire

Faculté des arts et des sciences - Département de physique

Complexe des sciences, room B-4013

514 343-6111 #51733

luc.vinet@umontreal.ca

Secondary emails: luc.vinet@ivado.ca (Travail) vinet@crm.umontreal.ca (Travail)

Media

Portrait du chercheur

 - © Université de Montréal

Vidéo CORIM - Luc Vinet - Le rôle de l'Université de Montréal dans le rayonnement de Montréal

Extrait de la conférence de Luc Vinet, Recteur de l'Université de Montréal, Le 18 septembre 2008 à Montréal sur le rôle clé de l'Université de Montréal dans le rayonnement international de Montréal.

EJC 2006 - Doctorat Honoris Causa - Luc Vinet et Henri-Paul Rousseau

Cérémonie de remise.

Luc Vinet

Luc Vinet, professeur au Département de physique et directeur du Centre de recherches mathématiques, a été élu membre de la Société royale du Canada.

Présentation de la chaine YouTube du CRM / CRM YouTube channel’s presentation

Présentation de la chaine YouTube du CRM / CRM YouTube channel’s presentation - Par / by Luc Vinet Directeur du CRM / CRM’s Director - DÉCEMBRE 2020 / DECEMBER 2020

Profile

Research expertise

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.

Biography

Luc Vinet is Aisenstadt Professor of Physics at the Université de Montréal and the Director of the CRM, a position he held previously from 1993 to 1999. Born in Montréal, he holds a doctorate (3rd cycle) from the Université Pierre et Marie Curie (Paris) and a PhD from the Université de Montréal, both in theoretical physics. After two years as a research associate at MIT, he was appointed as 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 the ranks of 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 presently chairs the Board of the Fulbright Canada and sits on the Board of Directors of National Institute for Nanotechnology in Edmonton. Among numerous honours, 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, professor Vinet was made Officer of the Ordre national du Québec by Premier Philippe Couillard. Then in 2018, he was nominated Fellow of 2018 Class of the AMS. Finally, his mandate as director of the CRM was renewed for a four year period until 2021.

Awards and recognitions

  • Prix Armand-Frappier 2009 - Gouvernement du Québec
  • Membre honoraire de la Golden Key International Honour Society - 2002
  • Doctorat honoris causa de l’Université Claude Bernard de Lyon - 2006
  • Officier de l’ordre des Palmes académiques de France - 2009
  • Prix de physique théorique et mathématique de L'Association canadienne des physiciens et physiciennes (ACP) et du Centre de recherches mathématiques (CRM) - 2012
  • Médaille du jubilé de diamant d’Élizabeth II - 2012
  • Insigne d'officier de l’Ordre national du Québec - 2017
  • Fellow de l'American Mathematical Society - 2018
  • Membre de la Société royale du Canada - 2018

Affiliations and responsabilities

University service and activities

Activities within organizations or entities of the institution

Administrative responsibilities

Teaching and supervision Currently recruiting

Recruitment in research Currently recruiting

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.

Student supervision

Post-doctoral Supervision

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

Theses and dissertation supervision (Papyrus Institutional Repository)

2020

Polynômes orthogonaux : processus limites et modèles exactement résolubles

Graduate : Lemay, Jean-Michel
Cycle : Doctoral
Grade : Ph. D.
2018

Transfert d'information quantique et intrication sur réseaux photoniques

Graduate : Bossé, Éric-Olivier
Cycle : Master's
Grade : M. Sc.
2018

q-oscillateurs et q-polynômes de Meixner

Graduate : Gaboriaud, Julien
Cycle : Master's
Grade : M. Sc.
2016

Coefficients de Clebsch-Gordan de la super-algèbre osp(1|2)

Graduate : Bergeron, Geoffroy
Cycle : Master's
Grade : M. Sc.
2015

Structures algébriques, systèmes superintégrables et polynômes orthogonaux

Graduate : Genest, Vincent
Cycle : Doctoral
Grade : Ph. D.
2014

Le problème de Coulomb-Dunkl dans le plan

Graduate : Lapointe, Andréanne
Cycle : Master's
Grade : M. Sc.
2014

Les polynômes orthogonaux matriciels et la méthode de factorisation

Graduate : Greavu, Cristina
Cycle : Master's
Grade : M. Sc.

Theses and dissertation supervision

  1. Jonathan Pelletier, M.Sc., 2021-, Université de Montréal.
  2. Gauvain Carcone, M.Sc., 2021-, Université de Montréal.
  3. Pierre- Antoine Bernard, M.Sc., 2020-, Université de Montréal.
  4. Dounia Shaaban Kabakibo, M.Sc., 2020-, Université de Montréal.
  5. Meri Zaimi, M.Sc., 2019-2020, Ph.D., 2020-, Université de Montréal.
  6. Charles-Alexandre Bédard, Ph.D., 2014-2019, Université de Montréal.
  7. Geoffroy Bergeron, M.Sc., 2013-2015, Ph.D., 2015-, Université de Montréal.
  8. Éric-Olivier Bossé, M.Sc., 2016-2017, Université de Montréal.
  9. Julien Gaboriaud, M.Sc., 2016-2017, Ph.D., 2017-, 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.

Stages and Others

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

Jury Member

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 F. Boileau

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

Projects

Research projects

2017 - 2023

Quantum Information Transport, Algebra Representations, Orthogonal Polynomials and (Super)Integrable Models

Lead researcher : Luc Vinet
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVX20965-(RGP) Programme de subvention à la découverte individuelle ou de groupe
2015 - 2023

CENTRE DE RECHERCHES MATHEMATIQUES (CRM)

Lead researcher : Luc Vinet , Octavian Cornea
Co-researchers : Pavel Winternitz , Alfred Michel Grundland , Christiane Rousseau , Sabin Lessard , François Perron , Sylvie Hamel , Marlène Frigon , Karim Jerbi , Jacques Bélair , François Lalonde , Robert Gwyn Owens , Gilles Brassard , Alain Vinet , Michel Delfour , Yvan Saint Aubin , Manuel Morales , Paul M Gauthier , Manu Paranjape , Véronique Hussin , Fahima Nekka , Yoshua Bengio , Pierre Duchesne , Jiri Patera , Nadia El-Mabrouk , Louis-Pierre Arguin , Andrew Granville , Iosif Polterovich , Matilde Lalin , Dimitrios Koukoulopoulos , Maciej Augustyniak , Jun Li , William Witczak-Krempa , Mireille Schnitzer , Alexander Fribergh , Benjamin Seamone , Alejandro Murua , Laurent Charlin , Hélène Cossette , Christian Genest , Frédéric Gourdeau , Claude Levesque , Étienne Marceau , Pierre Mathieu , Thomas Joseph Ransford , Louis-Paul Rivest , Jean-Marie De Koninck , Javad Mashreghi , Thierry Duchesne , Alexandre Bureau , M'Hamed Lajmi Lakhal Chaieb , José Manuel Urquiza , Hugo Chapdelaine , Michael Lau , Alexandre Girouard , Khader Khadraoui , Antonio Lei , Pengfei Guan , Xiaowen Chang , Prakash Panangaden , Michael C. Mackey , John A Toth , Henri Darmon , Karl Peter Russell , Niky Kamran , Jacques Claude Hurtubise , Adrian Iovita , Peter Bartello , Eyal Goren , Dmitry Jakobson , Vojkan Jaksic , Daniel Tzvi Wise , Anthony Raymond Humphries , Frederic Guichard , Russell Steele , Erik P. Cook , Robert Brandenberger , Adrian Vetta , Erica Moodie , Keshav Dasgupta , Christophe Grova , Bruce Shepherd , David Stephens , Gantumur Tsogtgerel , Johanna Neslehova , Jean-Christophe Nave , Johannes Walcher , Paul François , Hamed Hatami , Anmar Khadra , Adam M. Oberman , Michael Yves Michel Pichot , Frédéric Lesage , Jean-Marc Lina , Alexander Maloney , Dana Louigi Addario-Berry , André Fortin , André Garon , Dominique Pelletier , Éric P. Marchand , Debbie Janice Dupuis , Syed Ali , Yogendra Chaubey , Christopher Cummins , Chantal David , Eusebius Jacobus Doedel , José Garrido , Pawel Gora , Richard Hall , John P. Harnad , Hershy Kisilevsky , Galia Dafni , D. Korotkin , Xiaowen Zhou , Benoit Larose , Marco Bertola , Alexei Kokotov , Wei Sun , Cody Hyndman , Alina Stancu , Patrice Gaillardetz , Lea Popovic , André Dieter Bandrauk , Ibrahim Assem , Tomasz Kaczynski , Shiping Liu , Virginie Charette , Vasilisa Shramchenko , Maxime Descoteaux , Anne Bergeron , François Bergeron , Steven P. Boyer , Srecko Brlek , Sorana Froda , Christophe Reutenauer , Roger Villemaire , Jean-François Renaud , Vestislav Apostolov , Steven Lu , Pedro Peres-Neto , Christophe Hohlweg , Mathieu Boudreault , Geneviève Lefebvre , FRANCO SALIOLA , Alexandre Roch , Frédéric Rochon , Karim Oualkacha , Mark Powell , Bruno L. Rémillard , Alexandre Blondin-Massé , Thomas Brüstle , Richard Fournier , Linan Chen , Clement Hyvrier , Payman Kassaei , Piotr Przytycki , Denis Talbot , Jean-François Coeurjolly , Frédéric Godin , Marcin Sabok , Yi Yang , Anne Mackay , Paramita Saha Chaudhuri , Jérôme Vétois , Ting-Huei Chen , Aurélie Labbe
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-(RS) Programme de regroupements stratégiques
2019 - 2022

Établissement d'une stratégie visant à favoriser le développement d'une main-d'oeuvre hautement qualifiée en mathématiques appliquées pour des domaines de pointe

Lead researcher : Luc Vinet , Octavian Cornea
Funding sources: Ministère des Finances du Québec
Grant programs:
2018 - 2022

Unité mixte internationale Centre de recherches Mathématiques; Soutenir la mobilité dans le cadre de l'entente entre le FRQNT et le CNRS

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Subvention générale et projets spéciaux (non partageable au prorata)
2017 - 2022

Simons CRM Scholars Program

Lead researcher : Luc Vinet , Octavian Cornea
Funding sources: Simons Foundation
Grant programs:
2014 - 2022

THE CRM : 50 YEARS OF SHAPING MATHEMATICAL SCIENCES IN CANADA

Lead researcher : Luc Vinet , Octavian Cornea
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVXXXXXX-(CTRMS) Prog. d'appui aux ressources thématiques et collaboratives en mathématiques et statistique
2020 - 2021

Bourse de stage international - Chao-Jung Wu / Centre de recherches mathématiques (CRM)

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2020 - 2021

Bourse de stage international - Serte Donderwinkel / Centre de recherches mathématiques (CRM)

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2018 - 2021

Convention de gestion pour le projet ANR-17-CE040-0006-03 Projet NONSTOPS

Lead researcher : Luc Vinet
Co-researchers : Vojkan Jaksic
Funding sources: ANR/Agence nationale de la recherche
Grant programs:
2019 - 2020

Stage international - Dupuis Éric / Exploring new aspects of deconfined criticality / Centre de recherches mathématiques

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2015 - 2020

Unité Mixte internationale Centre de Recherches Mathématiques

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Subvention générale et projets spéciaux (non partageable au prorata)
2017 - 2019

Bourse de stage international - Vernier, Caroline / Centre de recherches mathématiques (CRM)

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2017 - 2019

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques

Lead researcher : Luc Vinet
Funding sources: FRQSC/Fonds de recherche du Québec - Société et culture (FQRSC)
Grant programs: PVXXXXXX-Subvention générale et projets spéciaux (non partageable au prorata)
2017 - 2019

Rare DNA variants and human complex traits: improving analyses of family studies by better modeling the dependence structures

Co-researchers : Luc Vinet
Funding sources: Institut canadien des sciences statistiques
Grant programs:
2017 - 2019

PP-Demande d’échanges hors Québec de professeurs - Boyer Steven Patrick

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Échanges hors Québec de professeurs
2017 - 2019

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Subvention générale et projets spéciaux (non partageable au prorata)
2017 - 2019

Bourse de stage international - Gibara, Ryan / Centre de recherches mathématiques (CRM)

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2017 - 2019

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques

Lead researcher : Luc Vinet
Funding sources: FRQS/Fonds de recherche du Québec - Santé (FRSQ)
Grant programs: PVXXXXXX-Subvention générale et projets spéciaux - centres affiliés (non partageable au prorata)
2017 - 2019

Bourse de stage international - Douville, Guillaume / Centre de recherches mathématiques (CRM)

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2017 - 2018

Soutien des demandes de subvention - CRM

Lead researcher : Luc Vinet
Funding sources: Université de Montréal
Grant programs:
2016 - 2018

Demande de stage international - Kaveh Mousavand

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2016 - 2018

Demande de stage international - Kevin Dagoberto Zelaya Mendoza

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2016 - 2018

Highperformance computing environment to leverage deep learning technology for large biomedical and neuroimaging data

Lead researcher : Yoshua Bengio
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVXXXXXX-(OIR) Outils et d'instruments de recherche (OIR) -1 -(de 7 001 $ à 150 000 $)
2016 - 2018

Demande d’échanges hors Québec de professeurs - Broutin, Nicolas

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Échanges hors Québec de professeurs
2016 - 2018

Demande de stage international Poclaire Gtougaimbo Kenmogne

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2014 - 2018

THE INSTITUTE INNOVATION PLATFORM

Lead researcher : Luc Vinet
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs:
2012 - 2018

EXACTLY SOLVING PHYSICAL SYSTEMS; METHODS AND APPLICATIONS

Lead researcher : Luc Vinet
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVX20965-(RGP) Programme de subvention à la découverte individuelle ou de groupe
2014 - 2016

BOURSE DE STAGE INTERNATIONAL POUR YUTING WEN

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2014 - 2016

BOURSE DE STAGE INTERNATIONAL POUR GUILLAUME ROY-FORTIN

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2008 - 2016

CENTRE DE RECHERCHES MATHEMATIQUES (CRM)

Lead researcher : Luc Vinet
Co-researchers : Pavel Winternitz , Christiane Rousseau , Sabin Lessard , François Perron , Sylvie Hamel , Gena Hahn , Marlène Frigon , Jacques Bélair , François Lalonde , Robert Gwyn Owens , Gilles Brassard , Michel Delfour , Yvan Saint Aubin , Manuel Morales , Jonathan Taylor , Paul M Gauthier , Manu Paranjape , Véronique Hussin , Fahima Nekka , Christian Léger , Jean-François Angers , Yoshua Bengio , Pierre Duchesne , Anne Bourlioux , Abraham Broer , Jiri Patera , Nadia El-Mabrouk , Andrew Granville , Iosif Polterovich , Octavian Cornea , Line Baribeau , Christian Genest , Frédéric Gourdeau , Robert Guénette , Claude Levesque , Pierre Mathieu , Thomas Joseph Ransford , Louis-Paul Rivest , Jean-Marie De Koninck , Javad Mashreghi , Thierry Duchesne , Pengfei Guan , David Avis , Michael C. Mackey , James Owen Ramsay , John A Toth , Sherwin A Maslowe , Henri Darmon , David B Wolfson , Karl Peter Russell , Olga Kharlampovich , Niky Kamran , Jacques Claude Hurtubise , Adrian Iovita , Peter Bartello , Eyal Goren , Dmitry Jakobson , Alain C. Vandal , Vojkan Jaksic , Daniel Tzvi Wise , Anthony Raymond Humphries , Alexei Miasnikov , Erica Moodie , Thomas Wihler , Robert Seiringer , Johannes Walcher , Frédéric Lesage , Jean-Marc Lina , André Fortin , André Garon , John Mullins , Éric P. Marchand , Debbie Janice Dupuis , Syed Ali , Yogendra Chaubey , Christopher Cummins , Chantal David , Pawel Gora , John P. Harnad , Hershy Kisilevsky , John McKay , Galia Dafni , D. Korotkin , Benoit Larose , Marco Bertola , Vasek Chvatal , Alexander Shnirelman , Alina Stancu , Lea Popovic , André Dieter Bandrauk , Ibrahim Assem , Tomasz Kaczynski , Shiping Liu , Virginie Charette , Vasilisa Shramchenko , Maxime Descoteaux , François Bergeron , Steven P. Boyer , Srecko Brlek , André Joyal , Brenda MacGibbon , Christophe Reutenauer , Vestislav Apostolov , Olivier Collin , Steven Lu , Bruno L. Rémillard , Elisa Shahbazia Ohannessian , Yinannis Petridis , David Sankoff , Thomas Brüstle , Habib Benali , Nantel Bergeron , Simon Chauve , Francis Clarke , Richard Fournier , Martin Jakob Gander , Nadia Ghazzali , Alfred Michel Grundland
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-(RS) Programme de regroupements stratégiques
2013 - 2015

DEMANDE DE STAGE INTERNATIONAL POUR ALEXANDRE PERRIER

Lead researcher : Luc Vinet
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-Bourse de stage international relié aux regroupements stratégiques
2008 - 2015

CRM'S MAJOR 5-YEAR PLAN : INVESTING IN PEOPLE AND INTELLECTUAL CAPACITIES, SUPPORTING CUTTING EDGE MATHEMATICAL RESEARCH, EXCEPTIONAL NEW OPPORTUNITIES, PARTNERSHIPS AND SYNERGIES

Lead researcher : Luc Vinet
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVXXXXXX-(ARM/MRS) Appui aux ressources majeures - Major resources support

Outreach

Organisation d’événements

  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.

Participation à des jurys (hors de l’institution)

  • 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

Publications and presentations

Publications

2022

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

2021

L. Vinet, A. Zhedanov, An algebraic treatment of the Askey biorthogonal polynomials on the unit circle, (2021), accepté pour publication dans Forum of Mathematics, Sigma (2021) Vol. 9:e68 1-28, arXiv: 2102.01779

N. Crampé, L. Vinet, M. Zaimi, Braid group and q-Racah polynomials, (2021) accepté pour publication dans Proceedings of the American Mathematical Society, arXiv:2106.02416

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

2020

N. Crampé, W. van de Vijver, L. Vinet, Racah problems for the oscillator algebra, the Lie algebra sln, and multivariate Krawtchouk polynomials, Annales Henri Poincaré, 21, 3939-3971 (2020), arXiv: 1909.12643

N. Crampé, K. Guo, L. Vinet, Entanglement of Free Fermions on Hadamard Graphs, Nuclear Physics B 960, 115176 (2020), arXiv:2008.04925

J. Gaboriaud, S. Tsujimoto, L. Vinet, A. Zhedanov, Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators, (2020), J. Phys. A: Math. Theor. 53, 445204 (2020), arXiv: 2005.06961

N. Crampé, D. Shaaban Kabakibo, L. Vinet, New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras, Reviews in Mathematical Physics, 2150002, (2020), arXiv: 2005.06957

J. Gaboriaud, L. Vinet, A Howe correspondence for the algebra of the osp(1j2) Clebsch-Gordan coefficients, Phys Lett. A 384, (2020), 126746, arXiv: 2004.00109

G. Bergeron, N. Crampé, S. Tsujimoto, L. Vinet, A. Zhedanov, The Heun-Racah and Heun-Bannai-Ito algebras, J. Math. Phys. 61, 081701 (2020), arXiv: 2003.09558

P.-A. Bernard, J. Gaboriaud, L. Vinet, Superintegrability and the dual -1 Hahn algebra in superconformal quantum mechanics, Ann. Phys. (2020), 168171, arXiv: 2001-07309

L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, The dual pair (Uq(su(1,1)),o1/2 q (2n)), q-oscillators and Askey-Wilson algebras, J. Math. Phys. 61, 041701 (2020), arXiv: 1908.04277

N. Crampé, L. Poulain d’Andecy, L. Vinet, Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2), Trans. Am. Math. Soc. 373 (2020), 4907-4932, arXiv: 1905.06346

N. Crampé, L. Vinet, M. Zaimi, Bannai-Ito algebras and the universal R-matrix of osp(1j2), Lett. Math. Phys. 110, 1043-1055 (2020), arXiv: 1909.06426

Y. Luo, S. Tsujimoto, L. Vinet, A. Zhedanov, Dunkl-Supersymmetric orthogonal functions associated with classical orthogonal polynomials, J. Phys. A: Math. Theor. 53 (2020), 085205, arXiv: 1905.09024

N. Crampé, J. Gaboriaud, L. Vinet, M. Zaimi, Revisiting the Askey-Wilson algebra with the universal R-matrix ofUq(sl(2)), J. Phys. A: Math. Theor. 53 (2020), 05LT01, (Letter), arXiv: 1908.04806

A. Chan, G. Coutinho, C. Tamon, L. Vinet, H. Zhan, Fractional Revival and Association Schemes, Discrete Math.343, (2020), 112018, arXiv: 1907.04729

L. Vinet, H. Zhan, Perfect State Transfer on Weighted Graphs of the Johnson Scheme, Lett. Math. Phys.110, 2491-2504 (2020), arXiv: 1904.08838

N. Crampé, L. Vinet, A. Zhedanov, Heun algebras of Lie type, (2019), Proc. Am. Math. Soc. 148 (2020) 1079-1094, arXiv: 1904.10643

P. Baseilhac, L. Vinet, A. Zhedanov, The q-Heun operator of big q-Jacobi type and the q-Heun algebra, The Ramanujan J. 52 (2020), 367-380, arXiv: 1808.06695

P. Baseilhac, X. Martin, L. Vinet, A. Zhedanov, Little and Big q-Jacobi polynomials and the Askey-Wilson algebra, The Ramanujan J. 51, (2020), 629-648, arXiv: 1806.02656

2019

G. Coutinho, L. Vinet, H. Zhan, A. Zhedanov, Perfect State Transfer in a Spin Chain without Mirror Symmetry, J. Phys. A: Math. Theor. 52, (2019) 455302, arXiv: 1903.04707

N. Crampé, R. I. Nepomechie, L. Vinet, Free-Fermion entanglement and orthogonal polynomials, J. Stat. Mech. (2019) 093101, arXiv: 1907.00044

N. Crampé, L. Frappat, L. Vinet, Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra, J. Phys. A: Math. Theor. 52 (2019) 424001 - A Passion for Theoretical Physics: In Memory of Peter G. O. Freund, arXiv: 1906.03936

E. Koelink, J.-M. Lemay, L. Vinet, Convolution identities for Dunkl orthogonal polynomials from the osp(1j2) Lie superalgebra, J. Math. Phys. 60, 091701 (2019), arXiv: 1905.10420

N. Crampé, E. Ragoucy, L. Vinet, A. Zhedanov, Truncation of the reflection algebra and the Hahn algebra, J. Phys. A: Math. Theor. 52, (2019), 35LT01, arXiv: 1903.05674

L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, The q-Higgs and Askey-Wilson algebras, Nucl. Phys. B 944, (2019), 114632, arXiv: 1903.04616

P. Baseilhac, S. Tsujimoto, L. Vinet, A. Zhedanov, The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type, Ann. Henri Poincaré 20, (2019), 3091-3112, arXiv: 1811.11407

L. Frappat, J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The Higgs and Hahn algebras from a Howe duality perspective, Phys. Lett. A 383 (2019), 1531-1535, arXiv: 1811.09359

H. De Bie, P. Iliev, L. Vinet, Bargmann and Barut-Girardello models for the Racah algebra, J. Math. Phys. 60 (2019), 011701, arXiv: 1811.04203

G. Bergeron, E. Koelink, L. Vinet, SUq(3) corepresentations and bivariate q-Krawtchouk polynomials, J. Math. Phys. 60 (2019), 051701, arXiv: 1811.02065

A. Chan, G. Coutinho, C. Tamon. L. Vinet, H. Zhan, Quantum fractional revival on graphs, Discrete Applied Mathematics 269, (2019), 86-98, arXiv: 1801.09654

L. Vinet, A. Zhedanov, The Heun operator of the Hahn type, Proc. Am. Math. Soc. 147 (2019), 2987-2998, arXiv:1808.00153

S. Tsujimoto, L. Vinet, A. Zhedanov, Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle, Constr. Approx. (2019), 50:209, arXiv : 1709.07226

H. Miki, S. Tsujimoto, L. Vinet, QuantumWalks on Graphs of the Ordered 2-Hamming Scheme and Spin Networks, Scipost Phys. 7, 001 (2019), arXiv: 1712.09200

V. X. Genest, L. Lapointe, L. Vinet, osp(1j2) and generalized Bannai–Ito algebras, Trans. Am. Math. Soc. 372(6), 4127- 4148, (2019), arXiv :1705.03761

2018

J.-M. Lemay, L. Vinet, Bivariate Bannai-Ito polynomials, J. Math. Phys. 59 (2018), 121703, arXiv: 1809.09705

J. Gaboriaud, L. Vinet, S. Vinet, A. Zhedanov, The dual pair Pin(2n) x osp(1,2), the Dirac equation and the Bannai-Ito algebra, Nucl. Phys. B 937 (2018), 226-239, arXiv: 1810.00130

et plusieurs autres....

Communications

Comptes-rendus de conférence avec comité de lecture

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 31st 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 31st 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 21st 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).

R. Floreanini, V.P. Spiridonov, L. Vinet, Q-Oscillator Realizations of the Quantum Superalgebras slq(m,n) and ospq(m,2n) in "XVIII International Colloquium on Group Theoretical Methods in Physics", V.V. Dodonov, V.I. Manko, Eds., Lecture Notes in Physics, V.382, Springer-Verlag, New York, pp. 208-214, 1991.

Disciplines

  • Physics
  • Applied Mathematics
  • Pure Mathematics

Areas of expertise

  • Mathematical methods in physics
  • Algebraic structures
  • Theory of quantized fields
  • Quantum information
  • Quantum mechanics
  • Symmetry and conservation laws
  • Integrable systems
  • Random process