I am Profesor Titular at the Instituto de Matemáticas of the Universidad de Talca, where I direct the Doctoral Program in Mathematics. I obtained my PhD at the Université Joseph Fourier in Grenoble in 2010 and held postdoctoral positions at the University of Basel and the University of Bern before joining the Universidad de Talca in 2013.
My research is in algebraic geometry, mainly algebraic group actions on varieties: torus actions and T-varieties, additive group actions and locally nilpotent derivations, automorphism groups of varieties and hypersurfaces, and resolution of singularities via Nash blowups.
My papers are available on arXiv and my MathSciNet profile.
Nash blowup fails to resolve singularities in dimensions four and higher
With F. Castillo, D. Duarte and M. Leyton-Álvarez. Annals of Mathematics (2) 203 (2026), no. 2, 677–694. Iterating Nash blowups or normalized Nash blowups does not resolve singularities in dimension four and higher, over fields of arbitrary characteristic.
Enhancing Research in Algebraic Geometry with Artificial Intelligence
Fondecyt Exploración 13250049, 2025 to 2028, directed with Pedro Montero.