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. |
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A polynomiality property for
Littlewood-Richardson coefficients. Journal of Combinatorial Theory, Series A 107 (2004), no. 2, 161--179. |
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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. |
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Path
counting and random matrix theory. (With/Avec Ioana Dumitriu) Electronic Journal of Combinatorics 10 (2003), no. 1, #R43. |
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Enumeration
of symmetry classes of parallelogram polyominoes. (With/Avec Pierre Leroux) Annales des sciences mathématiques du Québec 25 (2001), no. 1, 71--90. |
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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. |
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. |
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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. |