Luc Vinet
- Professeur titulaire
-
Faculté des arts et des sciences - Département de physique
Complexe des sciences office B-4013
Courriels
luc.vinet@ivado.ca (Travail)
vinet@crm.umontreal.ca (Travail)
Web : Site web de l’unité de recherche
Web : Wiki
Web : LinkedIn
Web : Autre site web
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.
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.
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
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
Student supervision Expand all Collapse all
Research projects Expand all Collapse all
Symmetries: Algebra and Physics Projet de recherche au Canada / 2022 - 2028
Entente de participation de Valital Technologies Inc. à IVADO Projet de recherche au Canada / 2022 - 2024
Quantum Information Transport, Algebra Representations, Orthogonal Polynomials and (Super)Integrable Models Projet de recherche au Canada / 2017 - 2023
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) Projet de recherche au Canada / 2015 - 2023
THE CRM : 50 YEARS OF SHAPING MATHEMATICAL SCIENCES IN CANADA Projet de recherche au Canada / 2014 - 2023
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
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 - 2022
Convention de gestion pour le projet ANR-17-CE040-0006-03 Projet NONSTOPS Projet de recherche au Canada / 2018 - 2022
Simons CRM Scholars Program Projet de recherche au Canada / 2017 - 2022
Unité Mixte internationale Centre de Recherches Mathématiques Projet de recherche au Canada / 2015 - 2022
Bourse de stage international - Serte Donderwinkel / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2020 - 2021
Bourse de stage international - Chao-Jung Wu / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2020 - 2021
Stage international - Dupuis Éric / Exploring new aspects of deconfined criticality / Centre de recherches mathématiques Projet de recherche au Canada / 2019 - 2020
Bourse de stage international - Douville, Guillaume / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019
Bourse de stage international - Vernier, Caroline / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019
Bourse de stage international - Gibara, Ryan / Centre de recherches mathématiques (CRM) Projet de recherche au Canada / 2017 - 2019
Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019
Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019
PP-Demande d’échanges hors Québec de professeurs - Boyer Steven Patrick Projet de recherche au Canada / 2017 - 2019
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
Confirmation de contribution financière - projet INSM pour la création d'un Institut National des Sciences Mathématiques Projet de recherche au Canada / 2017 - 2019
Soutien des demandes de subvention - CRM Projet de recherche au Canada / 2017 - 2018
Demande de stage international - Kaveh Mousavand Projet de recherche au Canada / 2016 - 2018
Demande de stage international - Kevin Dagoberto Zelaya Mendoza Projet de recherche au Canada / 2016 - 2018
Demande d’échanges hors Québec de professeurs - Broutin, Nicolas Projet de recherche au Canada / 2016 - 2018
Demande de stage international Poclaire Gtougaimbo Kenmogne Projet de recherche au Canada / 2016 - 2018
Highperformance computing environment to leverage deep learning technology for large biomedical and neuroimaging data Projet de recherche au Canada / 2016 - 2018
THE INSTITUTE INNOVATION PLATFORM Projet de recherche au Canada / 2014 - 2018
EXACTLY SOLVING PHYSICAL SYSTEMS; METHODS AND APPLICATIONS Projet de recherche au Canada / 2012 - 2018
BOURSE DE STAGE INTERNATIONAL POUR GUILLAUME ROY-FORTIN Projet de recherche au Canada / 2014 - 2016
BOURSE DE STAGE INTERNATIONAL POUR YUTING WEN Projet de recherche au Canada / 2014 - 2016
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) Projet de recherche au Canada / 2008 - 2016
DEMANDE DE STAGE INTERNATIONAL POUR ALEXANDRE PERRIER Projet de recherche au Canada / 2013 - 2015
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
Publications Expand all Collapse all
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 Expand all Collapse all
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.
Recognition and Awards
- Prix Armand-Frappier, Gouvernement du Québec, 2009.
Additional Information
- 19-10-2017 Luc Vinet, directeur du CRM, voit son mandat reconduit pour 4 ans
- Luc Vinet – Ordre national du Québec - 2017
- 01-06-2005 Luc Vinet à la tête de l'UdeM
- 13-01-2009 Luc Vinet quitte le rectorat de l'Université de Montréal
- 07-11-2009 Prix Armand-Frappier - Le scientifique administrateur
- 03-11-2009 Les Prix du Québec - le récipiendaire Luc Vinet 2009
Media
Portrait du chercheur
News
- Ordre du Canada: des membres de l’UdeM figurent parmi les 135 nouvelles nominations
- Les mathématiques aident à la prise de décision dans la lutte aux maladies infectieuses
- Nominations à la direction générale et la gouvernance d’IVADO
- Octav Cornea devient le nouveau directeur du Centre de recherches mathématiques de l’UdeM
- Des chercheurs de l’UdeM au cœur de la lutte contre les maladies infectieuses émergentes
- Un million pour donner le goût des mathématiques aux Québécois
- Attention, Montréal: les mathématiciens arrivent!
Browse this profile on: