Mercedes Rosas

Combinatoria Algebraica en Sevilla

Miembros:

• Emmanuel Briand

• Mercedes Rosas

Antiguos Estudiantes y estudiantes visitantes:

• Laura Colmenarejo

  Laura finished her PhD thesis titled “Stability in the combinatorics of representation theory” in 2016. Laura, a rising star in the area of Algebraic Combinatorics, currently hold a tenure track position at North Carolina State Univesity.

• Stefan Trandafir

  Stefan was a frecuent visitor to the group during his PhD at Simon Fraser University in Vacouver. During this time, he delved into some ideas regarding the study of Kronecker coefficients, which partially stemmed from our group’s discussions. Additionally, he wrote an article with us on a new symmetry exhibited by the Littlewood-Richardson coefficients. Stefan currently holds a postdoctoral position with the quantum information group of Adan Cabello (Sevilla).

• Álvaro Gutiérrez Cáceres

  Álvaro’s undergraduate senior thesis yielded two publications on the study of the plethysm of symmetric functions. Following his time in Sevilla, Álvaro authored a Master’s thesis at the University of Bonn under the supervision of Catharina Stroppel and Jacob Matherne. Presently, Álvaro is pursuing his Ph.D. under the guidance of Mark Wildon at Bristol University.

• Luis Esquivias and Adrian Lillo.

  In collaboration with Álvaro and the senior members of the group, Luis and Álvaro, both undergraduate students at the time, discovered a combinatorial proof of the Graham and Pollak formula for the determinant of the distance matrix of a tree, utilizing the Gessel-Viennot involution.

Conferences and Workshops:

• Algebraic Combinatorics in Sevilla

  Virtual Seminaire

• 91 Séminaire Lotharingien de Combinatoire

  Salobreña, March 17 - 20, 2024.
  Invited Speakers: Petter Brändén and Ira Gessel.

• School and Workshop “Mathematical fundations of quantum information”

  Sevilla, Spain, 23-27 november 2009.

• Diagonally symmetric polynomials and applications

  Castro-Urdiales, October 15 - 19, 2007

Funding:

We are funded by the following research projects::

• CoMADmRT: Computational Methods in Algebra, D-modules and Representation Theory (PID2020-117843GB-I00)

• FQM-333: Computational Algebra in NonCommutative Rings and Applications