Research

My research interests lie in the interaction between algebra, combinatorics, probability and statistics. More specifically, throughout my mathematical journey I have worked on projects in the fields of algebraic statistics, polyhedral geometry and algebraic combinatorics. I’m always in the lookout for new and exciting research directions.

Publications

• Markov bases: a 25 year update. Journal of the American Statistical Association, 2024.
  Félix Almendra-Hernández, Jesús A. De Loera, Sonja Petrović

Preprints

• Irreducible Markov Chains on spaces of graphs with fixed degree-color sequences. 2024.
  Félix Almendra-Hernández, Jesús A. De Loera, Sonja Petrović

Other writings

• A proof of the Upper Bound Theorem (undergraduate senior thesis, in Spanish).