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Luc Lapointe

Full professor

UNIVERSIDAD DE TALCA

Talca, Chile

Algebraic combinatorics: Integrable systems: Symmetric functions

Physics, UNIVERSITE DE MONTREAL. Canada, 1997

Full professor Full Time

UNIVERSIDAD DE TALCA

Instituto de Matemática y Física

Talca, Chile

2014 - A la fecha
Associate professor Full Time

UNIVERSIDAD DE TALCA

Instituto de Matemática y Física

Talca, Chile

2002 - 2014
Research assistant Full Time

MCGILL UNIVERSITY

Montreal, Canada

2000 - 2002
NSERC Postdoctoral Fellow Full Time

UNIVERSITY OF CALIFORNIA-SAN DIEGO

San Diego, Estados Unidos

1998 - 1999
NSERC Postdoctoral Fellow Full Time

UNIVERSITE DE MARNE-LA VALLEE

Institut Gaspard-Monge

Marne-la-Vallée, Francia

1997 - 1998

Postdoctoral students:

Louis-Francois Préville-Ratelle (Decembrer 2013-November 2016)
Miles Jones (March 2013-August 2015)

Doctoral students:

Luis Cárdenas (started in 2021)
Manuel Concha (started in 2019)
Camilo González (defended in 2019)
Ludovic Alarie-Vézina (defended in 2017, co-direction with P. Mathieu of U. Laval)
María Elena Pinto (defended in 2013)
Patrick Desrosiers (defended in 2004, co-direction with P. Mathieu of U. Laval)

Master's students:

Felipe Vidal (started in 2020)
Daniel Bravo (defended in 2005, co-direction with J. Soto-Andrade of U. de Chile)

Member of the Special Sessions Committee of the Mathematical Congress of the Americas 2021, to be held in Buenos Aires, Argentina.

Member of the Organizing Committee of the conference "Representation Theory Days in Patagonia" held in Punta Arenas in 2014.

Main organizer of the conference "Formal Power Series and Algebraic Combinatorics 2008", held in Valparaiso, Chile

Member of the Scientific Committee of the conference "Formal Power Series and Algebraic Combinatorics" in 2007, 2008, 2013 and 2021.


Multi-Macdonald polynomials Lapointe, Luc Article SCOPUS Discrete Mathematics (2020)
The norm and the Evaluation of the Macdonald polynomials in superspace Article ISI SCOPUS European Journal of Combinatorics (2020)
Bernstein operators and super-Schur functions: combinatorial aspects Mathieu P. Article ISI LETTERS IN MATHEMATICAL PHYSICS (2019)
Hopf algebra structure of symmetric and quasisymmetric functions in superspace Fishel S.; Pinto, ME Article ISI SCOPUS JOURNAL OF COMBINATORIAL THEORY SERIES A (2019)
osp(1,2) AND GENERALIZED BANNAI-ITO ALGEBRAS Article ISI TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2019)
Pieri Rules for the Jack Polynomials in Superspace and the 6-Vertex Model Gatica J.; Lapointe L. Article ISI SCOPUS Annales Henri Poincare (2019)
N >= 2 symmetric superpolynomials Mathieu1 P. Article ISI SCOPUS JOURNAL OF MATHEMATICAL PHYSICS (2017)
Pieri rules for Schur functions in superspace Article ISI SCOPUS JOURNAL OF COMBINATORIAL THEORY SERIES A (2017)
From jack to double jack polynomials via the supersymmetric bridge Lapointe L.; Mathieu P. Article ISI SCOPUS Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2015)
Charge on tableaux and the poset of k-shapes Lapointe L. Article ISI JOURNAL OF COMBINATORIAL THEORY SERIES A (2014)
Double Macdonald polynomials as the stable limit of Macdonald superpolynomials Lapointe L.; Mathieu P. Article ISI SCOPUS Journal of Algebraic Combinatorics (2014)
Super-Whittaker vector at c=3/2 Desrosiers, P; Lapointe L.; Mathieu P. Article ISI JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2014)
The poset of k-shapes and branching rules for k-Schur functions Lam, T.; Lapointe, L.; Morse, J.; Shimozono, M. Article ISI MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY (2013)
Evaluation and Normalization of Jack Superpolynomials Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS International Mathematics Research Notices (2012)
Jack Superpolynomials with Negative Fractional Parameter: Clustering Properties and Super-Virasoro Ideals Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS Communications in Mathematical Physics (2012)
Macdonald Polynomials in Superspace: Conjectural Definition and Positivity Conjectures Blondeau-Fournier, O; Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS Letters in Mathematical Physics (2012)
Superconformal field theory and Jack superpolynomials Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS Journal of High Energy Physics (2012)
Affine insertion and Pieri rules for the affine Grassmannian Lam, T.; Lapointe, L.; Morse, J.; Shimozono, M. Article ISI MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY (2010)
A normalization formula for the Jack polynomials in superspace and an identity on partitions Lapointe L.; Le Borgne, Y; Nadeau, P Article ISI SCOPUS ELECTRONIC JOURNAL OF COMBINATORICS (2009)
A recursion formula for k-Schur functions Bravo D.; Lapointe L. Article ISI SCOPUS JOURNAL OF COMBINATORIAL THEORY SERIES A (2009)
Quantum cohomology and the ?-schur basis Lapointe L.; Morse J. Article TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2008)
Quantum cohomology and the kappa-Schur basis Lapointe L.; Morse J. Article ISI TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2008)
A k-tableau characterization of k-Schur functions Lapointe L.; Morse J. Article ISI SCOPUS ADVANCES IN MATHEMATICS (2007)
Orthogonality of Jack polynomials in superspace Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS ADVANCES IN MATHEMATICS (2007)
Classical symmetric functions in superspace Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS JOURNAL OF ALGEBRAIC COMBINATORICS (2006)
Tableaux on k+1-cores, reduced words for affine permutations, and k-Schur expansions Lapointe L.; Morse J. Article ISI SCOPUS JOURNAL OF COMBINATORIAL THEORY SERIES A (2005)
Determinantal construction of orthogonal polynomials associated with root systems Lapointe L.; Morse J. Article ISI SCOPUS Compositio Mathematica (2004)
Explicit formulae for the generalized Hermite polynomials in superspace Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)
Jack superpolynomials: physical and combinatorial definitions Desrosiers, P; Lapointe L.; Mathieu P. Article ISI CZECHOSLOVAK JOURNAL OF PHYSICS (2004)
Order ideals in weak subposets of Young’s lattice Lapointe L.; Morse J. Article ISI Annals of Combinatorics (2004)
Supersymmetry in the non-commutative plane Lapointe L.; Ujino, H; Vinet L. Article ISI SCOPUS ANNALS OF PHYSICS (2004)
Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS Nuclear Physics B (2003)
Jack polynomials in superspace Desrosiers, P; Lapointe L.; Mathieu P. Article ISI SCOPUS COMMUNICATIONS IN MATHEMATICAL PHYSICS (2003)
Jack superpolynomials, superpartition ordering and determinantal formulas Desrosiers, P.; Lapointe, L.; Mathieu, P. Article ISI Communications in Matematical Physics (2003)
Schur function analogs for a filtration of the symmetric function space Lapointe L.; Morse J. Article ISI SCOPUS JOURNAL OF COMBINATORIAL THEORY SERIES A (2003)
Schur function identities, their t-analogs, and k-Schur irreducibility Lapointe L.; Morse J. Article SCOPUS ADVANCES IN MATHEMATICS (2003)
Tableau atoms and a new Macdonald positivity conjecture Lapointe L.; Lascoux, A; Morse J. Article ISI SCOPUS Duke Mathematical Journal (2003)
Fusion bases as facets of polytopes Bégin, L.; Cummins, C.; Lapointe, L.; Mathieu, P. Article ISI Journal of Mathematical Physics (2002)
Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials Desrosiers, P.; Lapointe, L.; Mathieu, P. Article ISI Nuclear Physics B (2001)
Determinantal expresion and recursion for Jack polynomials Lascoux, A. ; Lapointe, L.; Morse, J. Article ISI ELECTRONIC JOURNAL OF COMBINATORICS (2000)
A short proof of the integrality of the Macdonald (q,t)-Kostka coefficients Lapointe, L.; Vinet, L. Article ISI Duke Mathematical Journal (1998)
Algebraic description of SN-invariant oscillator states Floreanini, R.; Lapointe, L.; Vinet, L. Article ISI Journal of Mathematical Physics (1998)
Determinantal expresion for Macdonald polynomials Lascoux, A. ; Lapointe, L.; Morse, J. Article ISI INTERNATIONAL MATHEMATICS RESEARCH NOTICES (1998)
The dynamical algebra of the three-body Calogero model Floreanini, R.; Lapointe, L.; Vinet, L. Article ISI PHYSICS LETTERS B (1998)
Creation operators for the Macdonald and Jack polynomials Lapointe, L.; Vinet, L. Article ISI LETTERS IN MATHEMATICAL PHYSICS (1997)
Rodrigues formulas for the Macdonal polynomials Lapointe, L.; Vinet, L. Article ISI ADVANCES IN MATHEMATICS (1997)
Exact operator solution of the Calogero-Sutherland model Lapointe, L.; Vinet, L. Article ISI COMMUNICATIONS IN MATHEMATICAL PHYSICS (1996)
The polynomials SU(2) symmetry algebra of the two-body Calogero model Floreanini, R.; Lapointe, L.; Vinet, L. Article ISI PHYSICS LETTERS B (1996)
A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture Lapointe, L.; Vinet, L. Article ISI INTERNATIONAL MATHEMATICS RESEARCH NOTICES (1995)
A quantum algebra approach to basic multivariable special functions Floreanini, R.; Lapointe, L.; Vinet, L. Article ISI JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (1994)
A note on (p,q)-oscillators and bibasic hypergeometric functions Floreanini, R.; Lapointe, L.; Vinet, L. Article ISI JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (1993)
The N=2 supersymmetric Calogero-Sutherland model and its eigenfunctions Alarie-Vezina, Ludovic; Lapointe, Luc; Mathieu, Pierre Article ISI, SCOPUS ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS


k-Schur functions and affine Schubert calculus Lam, T., Lapointe, L., Morse, J., Schilling, A., Shimozono, M., Zabrocki, M. Monograph (2014)


New physical and combinatorial aspects of the theory of symmetric functions in superspace Lapointe, Luc Proyecto (2017)

Luc Lapointe

Full professor

Instituto de Matemática y Física

UNIVERSIDAD DE TALCA

Talca, Chile

Jan Felipe van Diejen

Professor

Instituto de Matemáticas

Universidad de Talca

Talca, Chile

Jessica Gatica

Profesor Conferenciante

Matemática

UNIVERSIDAD DE TALCA

Linares, Chile

Daniel Bravo

Profesor Asistente

Instituto de Ciencias Físicas y Matemáticas

UNIVERSIDAD AUSTRAL DE CHILE

Valdivia, Chile

Camilo Gonzalez

Profesor Asistente

Departamento de Matemáticas

Universidad de Concepción

Concepción, Chile

Luc Lapointe

Líneas de Investigación

Educación

Physics, UNIVERSITE DE MONTREAL. Canada, 1997

Experiencia Académica

Full professor Full Time

Associate professor Full Time

Research assistant Full Time

NSERC Postdoctoral Fellow Full Time

NSERC Postdoctoral Fellow Full Time

Formación de Capital Humano

Difusión y Transferencia

Article (52)

Monograph (1)

Proyecto (1)