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Luc Vinet

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Directeur général

IVADO - Administration

Professeur titulaire

Faculté des arts et des sciences - Département de physique

Complexe des sciences office B-4013

luc.vinet@umontreal.ca

514 343-6111 #51733

Courriels

luc.vinet@ivado.ca (Travail)

vinet@crm.umontreal.ca (Travail)

Biography

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.

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Affiliations

  • Directeur général – IVADO — Institut de valorisation des données
  • Directeur – CRM — Centre de recherches mathématiques
  • Membre – CIRANO — Centre interuniversitaire de recherche en analyse des organisations

Research recruitment

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.

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Education Programs

  • Fundamental and Applied Sciences
  • Fundamental and Applied Sciences
  • Fundamental and Applied Sciences
  • Fundamental and Applied Sciences
  • Fundamental and Applied Sciences
  • Fundamental and Applied Sciences

Courses

  • PHY3814 Compléments de mécanique quantique

Areas of 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.

Responsabilities and outreach Expand all Collapse all

Activités au sein d’organismes ou d’entités de l’institution
Responsabilités administratives
Organisation d’événements
Participation à des jurys (hors de l’institution)

Student supervision Expand all Collapse all

Opérateur de Heun et ansatz de Bethe Thèses et mémoires dirigés / 2023 - 2023
Graduate : Carcone, Gauvain
Cycle : Master's
Grade : M. Sc.
−1 polynômes orthogonaux Thèses et mémoires dirigés / 2023 - 2023
Graduate : Pelletier, Jonathan
Cycle : Master's
Grade : M. Sc.
Opérateurs de Heun, ansatz de Bethe et représentations de \(su(3)\) Thèses et mémoires dirigés / 2022 - 2022
Graduate : Shaaban Kabakibo, Dounia
Cycle : Master's
Grade : M. Sc.
Nouvelles perspectives sur les algèbres de type Askey–Wilson Thèses et mémoires dirigés / 2022 - 2022
Graduate : Gaboriaud, Julien
Cycle : Doctoral
Grade : Ph. D.
Applications des structures algébriques associées aux systèmes intégrables Thèses et mémoires dirigés / 2021 - 2021
Graduate : Bergeron, Geoffroy
Cycle : Doctoral
Grade : Ph. D.
Polynômes orthogonaux : processus limites et modèles exactement résolubles Thèses et mémoires dirigés / 2020 - 2020
Graduate : Lemay, Jean-Michel
Cycle : Doctoral
Grade : Ph. D.
Algèbres de Temperley-Lieb, Birman-Murakami-Wenzl et Askey-Wilson, et autres centralisateurs de U_q(sl_2) Thèses et mémoires dirigés / 2020 - 2020
Graduate : Zaimi, Meri
Cycle : Master's
Grade : M. Sc.
Transfert d'information quantique et intrication sur réseaux photoniques Thèses et mémoires dirigés / 2018 - 2018
Graduate : Bossé, Éric-Olivier
Cycle : Master's
Grade : M. Sc.
q-oscillateurs et q-polynômes de Meixner Thèses et mémoires dirigés / 2018 - 2018
Graduate : Gaboriaud, Julien
Cycle : Master's
Grade : M. Sc.
Coefficients de Clebsch-Gordan de la super-algèbre osp(1|2) Thèses et mémoires dirigés / 2016 - 2016
Graduate : Bergeron, Geoffroy
Cycle : Master's
Grade : M. Sc.
Structures algébriques, systèmes superintégrables et polynômes orthogonaux Thèses et mémoires dirigés / 2015 - 2015
Graduate : Genest, Vincent
Cycle : Doctoral
Grade : Ph. D.
Le problème de Coulomb-Dunkl dans le plan Thèses et mémoires dirigés / 2014 - 2014
Graduate : Lapointe, Andréanne
Cycle : Master's
Grade : M. Sc.
Les polynômes orthogonaux matriciels et la méthode de factorisation Thèses et mémoires dirigés / 2014 - 2014
Graduate : Greavu, Cristina
Cycle : Master's
Grade : M. Sc.
Solitons in wave propagation and spin systems Thèses et mémoires dirigés / 1998 - 1998
Graduate : Loutsenko, Igor
Cycle : Doctoral
Grade : Ph. D.
Postdoctorants
Stages et autres supervisions
Thèses et mémoires dirigés

Research projects Expand all Collapse all

Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2022 - 2029

Lead researcher : Octavian Cornea
Co-researchers : Yoshua Bengio , François Lalonde , Gilles Brassard , Michel Delfour , Marlène Frigon , Véronique Hussin , Christiane Rousseau , Jacques Bélair , Paul M Gauthier , Sabin Lessard , Alain Vinet , Nadia El-Mabrouk , Gena Hahn , Christian Léger , Fahima Nekka , Iosif Polterovich , Yvan Saint Aubin , Andrew Granville , Sylvie Hamel , Manuel Morales , François Perron , Mylène Bédard , Pierre Duchesne , Matilde Lalin , Robert Gwyn Owens , Manu Paranjape , Dana Schlomiuk , Luc Vinet , Hugo Chapdelaine , Mireille Schnitzer , Karim Jerbi , Alexander Fribergh , Alejandro Murua , Maciej Augustyniak , Benoît Mâsse , Dimitrios Koukoulopoulos , Jun Li , Benjamin Seamone , William Witczak-Krempa , Egor Shelukhin , Morgan Craig , Guillaume Lajoie , Margarida Carvalho , Guy Wolf , Florian Maire , Frédéric Dupont-Dupuis , Michael C. Mackey , Frédéric Lesage , Russell Steele , Erica Moodie , Paul François , Henri Darmon , Maxime Descoteaux , Prakash Panangaden , André Dieter Bandrauk , Peter Bartello , Chantal David , Jean-Marc Lina , Anthony Raymond Humphries , John P. Harnad , Jacques Claude Hurtubise , Pengfei Guan , John A Toth , Niky Kamran , Adrian Iovita , Eyal Goren , Dmitry Jakobson , Vojkan Jaksic , Daniel Tzvi Wise , André Garon , Éric P. Marchand , Debbie Janice Dupuis , Yogendra Chaubey , Pawel Gora , Hershy Kisilevsky , Galia Dafni , D. Korotkin , Marco Bertola , Alina Stancu , Lea Popovic , Ibrahim Assem , Tomasz Kaczynski , Shiping Liu , Vasilisa Shramchenko , Bruno L. Rémillard , Richard Fournier , Alfred Michel Grundland , David Stephens , Xiaowen Chang , Frederic Guichard , Erik P. Cook , Robert Brandenberger , Adrian Vetta , Keshav Dasgupta , Christophe Grova , Gantumur Tsogtgerel , Johanna Neslehova , Jean-Christophe Nave , Anmar Khadra , Adam M. Oberman , Michael Yves Michel Pichot , Alexander Maloney , Dana Louigi Addario-Berry , José Garrido , Alexei Kokotov , Wei Sun , Patrice Gaillardetz , Linan Chen , Piotr Przytycki , Vladimir Makarenkov , Louis-Paul Rivest , François Bergeron , Steven P. Boyer , Line Baribeau , Frédéric Gourdeau , Claude Levesque , Thomas Joseph Ransford , Jean-Marie De Koninck , Javad Mashreghi , Thierry Duchesne , Srecko Brlek , Christophe Reutenauer , Vestislav Apostolov , Steven Lu , Geneviève Lefebvre , Hélène Cossette , Étienne Marceau , José Manuel Urquiza , Michael Lau , Alexandre Girouard , Antonio Lei , Jean-François Renaud , Christophe Hohlweg , Mathieu Boudreault , FRANCO SALIOLA , Alexandre Roch , Frédéric Rochon , Alexandre Blondin-Massé , Clement Hyvrier , Denis Talbot , Alexandre Bureau , Fabrice Larribe , Aurélie Labbe , Cody Hyndman , Khader Khadraoui , Hamed Hatami , Roger Villemaire , Frédéric Godin , Marcin Sabok , Yi Yang , Anne Mackay , Jérôme Vétois , Ting-Huei Chen , Habib Benali , Taoufik Bouezmani , Christian Genest , Xiaowen Zhou , Sorana Froda , Mélina Mailhot , Alexandra Schmidt , Simon Philippe Caron-Huot , Abdoulaye Banire Diallo , Jean-Philippe Lessard , Sarah Harrison , Anne-Sophie Charest , Masoud Asgharian-Dastenael , Rustum Choksi , Abbas Khalili Mahmoudabadi , Simon Gravel , Arusharka Sen , Arthur Charpentier , Mathieu Pigeon , Benoit Larose , Thomas Brüstle , Laurent Charlin , Janosch Ortmann , Tim Hoheisel , Jean Deteix , Jessica Lin , Michael Lipnowski , Giovanni Rosso , Thomas Hugh , Jean-Philippe Burelle , Julien Keller , Félix Camirand Lemyre , Marie-Pier Côté , Damir Kinzebulatov , Duncan McCoy , Klaus Herrmann , Felix Kwok , Courtney Paquette , Anush Tserunyan , Suresh Krishna , Valentino Tosatti , Patrick Brodie Allen , Behrooz Yousefzadeh , Marc-Hubert Nicole , Rober Platt
Funding sources: FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT)
Grant programs: PVXXXXXX-(RS) Programme de regroupements stratégiques

Symmetries: Algebra and Physics Projet de recherche au Canada / 2022 - 2028

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

Entente de participation de Valital Technologies Inc. à IVADO Projet de recherche au Canada / 2022 - 2024

Lead researcher : Luc Vinet
Funding sources: Vehicle Mind Technologies Ltd
Grant programs:

Unité mixte internationale Centre de recherches Mathématiques; Soutenir la mobilité dans le cadre de l'entente entre le FRQNT et le CNRS Projet de recherche au Canada / 2018 - 2024

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

Unité Mixte internationale Centre de Recherches Mathématiques Projet de recherche au Canada / 2015 - 2024

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

Simons CRM Scholars Program Projet de recherche au Canada / 2017 - 2023

Lead researcher : Luc Vinet , Octavian Cornea
Co-researchers : Henri Darmon , Dana Louigi Addario-Berry
Funding sources: Simons Foundation
Grant programs:

Quantum Information Transport, Algebra Representations, Orthogonal Polynomials and (Super)Integrable Models Projet de recherche au Canada / 2017 - 2023

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

CENTRE DE RECHERCHES MATHEMATIQUES (CRM) Projet de recherche au Canada / 2015 - 2023

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

THE CRM : 50 YEARS OF SHAPING MATHEMATICAL SCIENCES IN CANADA Projet de recherche au Canada / 2014 - 2023

Lead researcher : Luc Vinet , Octavian Cornea
Co-researchers : Iosif Polterovich , Andrew Granville , Henri Darmon , André Dieter Bandrauk , John P. Harnad , Jacques Claude Hurtubise , Jeannette Janssen , Mary Thompson , Martin Barlow , Allan Borodin , Nancy Reid , Sanjeev Seahra , Louis-Paul Rivest , Steven P. Boyer , Donald Estep
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

Établissement d'une stratégie visant à favoriser le développement d'une main-d'oeuvre hautement qualifiée en mathématiques appliquées pour des domaines de pointe Projet de recherche au Canada / 2019 - 2022

Lead researcher : Luc Vinet , Octavian Cornea
Co-researchers : France Caron , Jean-François Arguin , Dimitrios Koukoulopoulos , Nathalie De Marcellis-Warin , Frédéric Gourdeau , Jean-Marie De Koninck , Olivier Collin , Nathalie De Marcellis-Warin , Mélisande Fortin-Boisvert , Virginie Houle , Valérie Bilodeau , Hélène Mathieu , François Pomerleau , Catherine Verret , Ildiko Pelczer , Josée Beaudoin , Anais Michot , Marie-Claude Nicole , Isabelle Lelièvre
Funding sources: Ministère des Finances du Québec
Grant programs:

Convention de gestion pour le projet ANR-17-CE040-0006-03 Projet NONSTOPS Projet de recherche au Canada / 2018 - 2022

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

Bourse de stage international - Serte Donderwinkel / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2020 - 2021

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

Bourse de stage international - Chao-Jung Wu / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2020 - 2021

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

Stage international - Dupuis Éric / Exploring new aspects of deconfined criticality / Centre de recherches mathématiques Projet de recherche au Canada / 2019 - 2020

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

Bourse de stage international - Gibara, Ryan / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019

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

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019

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)

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019

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)

Bourse de stage international - Vernier, Caroline / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019

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

Bourse de stage international - Douville, Guillaume / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019

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

Rare DNA variants and human complex traits: improving analyses of family studies by better modeling the dependence structures Projet de recherche au Canada / 2017 - 2019

Lead researcher : Alexandre Bureau , M'Hamed Lajmi Lakhal Chaieb , Celia Greenwood , Fabrice Larribe , Karim Oualkacha , Marie-Helene Roy-Gagnon , Jinko Graham , Ingo Ruczinski , Kelly Burkett , Eleftheria Zeggini , Aurélie Labbe
Co-researchers : Luc Vinet
Funding sources: Institut canadien des sciences statistiques
Grant programs:

PP-Demande d’échanges hors Québec de professeurs - Boyer Steven Patrick Projet de recherche au Canada / 2017 - 2019

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

Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019

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)

Soutien des demandes de subvention - CRM Projet de recherche au Canada / 2017 - 2018

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

Demande de stage international - Kevin Dagoberto Zelaya Mendoza Projet de recherche au Canada / 2016 - 2018

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

Demande de stage international - Kaveh Mousavand Projet de recherche au Canada / 2016 - 2018

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

Highperformance computing environment to leverage deep learning technology for large biomedical and neuroimaging data Projet de recherche au Canada / 2016 - 2018

Lead researcher : Yoshua Bengio
Co-researchers : Pascal Vincent , Luc Vinet , Roland Memisevic , Karim Jerbi , Aaron Courville , Christopher Pal
Funding sources: CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG)
Grant programs: PVXXXXXX-(OIR) Outils et d'instruments de recherche (de 7 001 $ à 150 000 $)

Demande d’échanges hors Québec de professeurs - Broutin, Nicolas Projet de recherche au Canada / 2016 - 2018

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

Demande de stage international Poclaire Gtougaimbo Kenmogne Projet de recherche au Canada / 2016 - 2018

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

THE INSTITUTE INNOVATION PLATFORM Projet de recherche au Canada / 2014 - 2018

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

EXACTLY SOLVING PHYSICAL SYSTEMS; METHODS AND APPLICATIONS Projet de recherche au Canada / 2012 - 2018

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

BOURSE DE STAGE INTERNATIONAL POUR GUILLAUME ROY-FORTIN Projet de recherche au Canada / 2014 - 2016

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

BOURSE DE STAGE INTERNATIONAL POUR YUTING WEN Projet de recherche au Canada / 2014 - 2016

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

CENTRE DE RECHERCHES MATHEMATIQUES (CRM) Projet de recherche au Canada / 2008 - 2016

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

DEMANDE DE STAGE INTERNATIONAL POUR ALEXANDRE PERRIER Projet de recherche au Canada / 2013 - 2015

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

CRM'S MAJOR 5-YEAR PLAN : INVESTING IN PEOPLE AND INTELLECTUAL CAPACITIES, SUPPORTING CUTTING EDGE MATHEMATICAL RESEARCH, EXCEPTIONAL NEW OPPORTUNITIES, PARTNERSHIPS AND SYNERGIES Projet de recherche au Canada / 2008 - 2015

Lead researcher : Luc Vinet
Co-researchers : Gilles Brassard , Michel Delfour , Andrew Granville , Henri Darmon , Chantal David , Anthony Raymond Humphries , John P. Harnad , Walter Craig , Christian Genest , François Bergeron
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

Publications Expand all Collapse all

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

Communications Expand all Collapse all

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 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).

Recognition and Awards

  • Prix Armand-Frappier, Gouvernement du Québec, 2009.

Additional Information

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Portrait du chercheur

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

Conférence "Et le quantique?"

Luc Vinet

Les symétries sont des forces fondamentales

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

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

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