PUBLICATIONS
PUBLICATIONS



Preprints / Non publié



Signature quantization, representations of compact Lie groups, and a q-analogue of the Kostant partition function.
(An extended version of the paper Signature quantization and representations of compact Lie groups, with Victor Guillemin).
(Une version étendue de l'article Signature quantization and representations of compact Lie groups, avec Victor Guillemin).



Published / Publié


Signature quantization and representations of compact Lie groups.
(With/Avec Victor Guillemin)
Proceedings of the National Academy of Sciences 101 (2004), 10884--10889.

A polynomiality property for Littlewood-Richardson coefficients.
Journal of Combinatorial Theory, Series A 107 (2004), no. 2, 161--179.

A vector partition function for the multiplicities of sl_k(C).
(With/Avec Sara Billey and/et Victor Guillemin)
Journal of Algebra 278 (2004), no. 1, 251--293.

Path counting and random matrix theory.
(With/Avec Ioana Dumitriu)
Electronic Journal of Combinatorics 10 (2003), no. 1, #R43.

Enumeration of symmetry classes of parallelogram polyominoes.
(With/Avec Pierre Leroux)
Annales des sciences mathématiques du Québec 25 (2001), no. 1, 71--90.

Enumeration of symmetry classes of convex polyominoes in the square lattice.
(With/Avec Pierre Leroux and/et Ariane Robitaille)
Advances in Applied Mathematics 21 (1998), no. 3, 343--380.




Academic publications / Publications académiques

Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients.
Thesis for the Ph.D. degree in Mathematics, Massachusetts Institute of Technology (MIT), 2004.
Thèse de doctorat en mathématiques, Massachusetts Institute of Technology (MIT), 2004.



Énumération de certaines classes de polyominos et de chemins autoévitants.
Mémoire de maîtrise en mathématiques fondamentales, Université du Québec à Montréal (UQÀM), 1999.
Thesis for the M.Sc. degree in Pure Mathematics, Université du Québec à Montréal (UQÀM), 1999.