Eliana Zoque: Research interests

Research

My research interests include Combinatorics and Representation Theory.

Publications and preprints

Partitions, Kostka polynomials and pairs of trees. (Submitted)
T-orbits of principal nilpotent pairs. Appendix to Some combinatorial identities related to commuting varieties and Hilbert schemes by Gwyn Bellamy and Victor Ginzburg. arXiv:1011.5957v1
Partitions, pairs of trees and Catalan numbers. arXiv:1006.5706v1.
On the variety of almost commuting nilpotent matrices. Transformation Groups, Volume 15, Number 2 (2010).
A counterexample to the existence of a Poisson structure on a twisted group algebra. São Paulo J. Math. Sci. 3 (2009), no. 1, 109--113.
A basis for the non-crossing partition lattice top homology. J. Algebraic Combin. 23 (2006), no. 3, 231-242.

Talks

Kostka polynomials in Lie Theory. Lie theory seminar. University of California Riverside. November 9, 2010.
Pares de matrices nilpotentes que casi conmutan. Seminario de posgrado. Universidad de los Andes, Bogotá, Colombia. August 14, 2010.
On the variety of almost commuting nilpotent matrices. Lie theory seminar. University of California Riverside. October 13 and 15, 2009.
A Counterexample to the Existence of a Poisson Structure on a Twisted Group Algebra. Representation Theory and related topics Seminar. Northeastern University. October 17, 2008.
Almost commuting nilpotent matrices and Hilbert schemes. Geometry-Algebra-Singularities-Combinatorics Seminar. Northeastern University. October 15, 2008.
Some results on pairs of commuting and almost commuting matrices. Ginzburg student seminar. University of Chicago. October 6, 2008.
Un contraejemplo para la existencia de una estructura de Poisson en un algebra de grupo torcida. XVII Coloquio Latinoamericano de Algebra. Medellin, Colombia. July 23, 2007.

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