My central interests lie in the fields related with:
Representation theory
Arithmetic D-modules
Rigid analytic geometry
Langlands program
Associative Algebras
Digroups
Artificial Intelligence
Publications
[1] G-equivariance of formal models of flag varieties. Rend. Sem. Mat. Univ. Padova 150 (2023), 1–79
[2] A Beilinson-Bernstein theorem for twisted arithmetic differential operators on the formal flag variety. Journal de Théorie des Nombres de Bordeaux 36.1 (2024): 1-43.
[3] Uso de ChatGPT como herramienta en las aulas de clase. Revista EIA, 20(40), 4020 pp. 1–23.
[4] Problemas estructurales en sistemas inteligentes. Repositorio EIA.
Books
Authors:
DAVID BLAZQUEZ - JUAN SEBASTIAN DIAZ - ANIBAL FERNANDO - CARLOS A. LEON - SANTIAGO PINADA - ANDRES SARRAZOLA - JULIAN URIBE - ALEJANDRO A. VILLA.
Year: 2016.
Original title in spanish: Un curso de geometrıa differential. Calculo tensorial, grupos de Lie y geometria diferencial Euclidea.
Title in english: A course of differential geometry. Tensor calculus, Lie groups and Euclidean differential geometry.
National university of Colombia. Faculty of sciences.
Thesis
Supervisors: Christine Huyghe (at University of Strasbourg) and Tobias Schmidt (at University of Rennes 1)
Title: Localisation de représentations localement analytiques admissibles
Defended: 26th July of 2019
Jury
Christine Huyghe (directrice de thèse)
Tobias Schmidt (co-directeur de thèse)
Matthias Strauch (rapporteur)
Daniel Caro (rapporteur)
Adriano Marmora (examinateur)
Notes
Some notes that I wrote running the study group "p-adic representations and arithmetic D-modules" (with Pr. Francesco Baldassarri).
p-adic representations and arithmetic D-modules (still under construction).