Research

  • My research evolves around combinatorial objects, algebraic structures on them and their interaction with representation theory and geometry. More specifically (quasi)symmetric functions, Hopf algebras and discrete objects involved in these worlds are at the center of my interests.

Papers:

Here is my cv and here are my papers -some in preparation-.

You can check them in my Google Scholar site or in arxiv


Preprints


In preparation

  • A quantum MN rule for the cohomology of the flag variety (with N. Bergeron, L. Colmenarejo, F. Saliola, F. Sottile).
  • Generalized lattice point visibility in $\mathbb{N}^k$ (with P. Harris, S. Estupiñan).



Current and past seminars:

Los Andes y otras:

Semestral : Seminario Sabanero de Combinatoria

2017-II : Polinomios de Schubert


York University:

Applied Algebra Seminar

Algebraic Combinatorics Seminar at Fields



Students:

Maestría:

  • Jerónimo Valencia (current)
  • Santiago Estupiñan (current).
  • Jonathan Niño (codirected w Mauricio Velasco). Thesis: Calculation of invariant rings under the action of finite groups. (May 2019)
  • Daniel Tamayo. Thesis: Combinatorics of quotients of positroids. (May 2019)



Pregrado:

  • Felipe Rueda. Thesis: Polinomios de Tutte y Schur positividad. (Diciembre 2019)
  • Jerónimo Valencia. Thesis: Cocientes de matroides, antípodas y f-vectores.
  • Tomás Bermudez (codirected w Dave Karpuk). Thesis: Subspace packing in grassmannian space.
  • Carlos Sánchez. Thesis: Volúmenes de politopos de flujo de subgrafos caracol.
  • Santiago Estupiñan. Thesis: Problemas de visibilidad en N^n. (Diciembre 2018).
  • Eliana Tolosa (2018-I UN). Thesis: Grupo de caracteres de un álgebra de Hopf de matroides.
  • Julian Pulido (2017-II UN). Thesis: Politopos Unipotentes.