Research interests: Representation theory, algebraic geometry.
Papers and preprints
Representation theory and the diagonal coinvariant ring for the type B Weyl group (with Stephen Griffeth), Journal of Pure and Applied Algebra, 228 (2024)
PhD Thesis
Diagonalizable representations of rational Cherednik algebras and diagonal coinvariant rings. Advisor: Stephen Griffeth. Year: 2025. (Here)
Books
Topology, but Categorically: A journey through topological spaces and categories (Here)
This is my first book. It is about general topology, but almost all of its concepts are developed in the context of category theory. Please feel free to write to me if you find any mistakes, typos, or other errors that need to be corrected.
The current version contains nine chapters, with the ninth chapter almost complete. Two additional chapters are planned: one on the homotopy category, and another covering several topics in topology, including the collectionwise separation axioms, topological games, and Baire's category theorem. I hope to include them soon.
Links of interest
Instituto de Matemáticas de la Universidad de Talca, lugar en el que realicé mi magíster y doctorado, mi lugar favorito en el mundo.
Stephen Griffeth's web Homepage, my doctoral advisor.
AMARUN society webpage, of which I have been an active member since 2020.