PhD Student
Department of Mathematics, University of Georgia (August 2024 - Present)
In the Fall of 2026, I will begin my 3rd year of the PhD program in Mathematics at the University of Georgia, USA. I am advised by Professor Valery Alexeev. Previously, I received my Bachelor's and Master's degree from Pontificia Universidad Católica de Chile under the supervision of Professor Giancarlo Urzúa.
I am interested in Algebraic geometry: singularities, moduli spaces, birational geometry, and deformation theory. I am also interested in interactions of Algebraic Geometry with Topology and Number Theory.
Here is my CV.
California, June 2025
Where I'm going (and where I've been lately)
IAS/PCMI Mathematics Institute 2026, Park City, Utah, June 28- July 18, 2026.
Forty Years of Higher Dimensional Geometry, Princeton University, June 8- June 12, 2026.
2025 Summer Research Institute in Algebraic Geometry (Big every 10 years conference!), Colorado State University, July 13-23, 2025.
2025 Georgia International Topology Conference (Big every 8 years conference!), University of Georgia, May 19-30, 2025.
Invited talks:
Classification of wormhole singularities, Birational Geometry Seminar, UCLA, May 2026.
Classification of wormhole singularities (2 talks), Algebraic geometry seminar, Pontificia Universidad Católica de Chile, May 2026.
Constructive classification of wormhole singularities, Algebraic geometry seminar, University of Georgia, November 2025.
Classification of Horikawa surfaces with T-singularities, Algebraic geometry seminar, University of Georgia, October 2024.
Articles
Classification of T-surfaces with K^2=2pg-3 (joint with Vicente Monreal and Giancarlo Urzúa), In preparation.
Pseudo-hyperbolicity of Horikawa surfaces (joint with Anibal Aravena and Wern Yeong), arXiv:2512.08189, August 2026.
Classification of wormhole singularities, arXiv:2512.08189, December 2025, submitted.
Classification of Horikawa surfaces with T-singularities (joint with Vicente Monreal and Giancarlo Urzúa), arXiv:2410.02943, October 2024, submitted.
University of Georgia (as the instructor of record)
Fall 2026: Math 1113 Precalculus (2 sections).
Spring 2026: Math 2250 Calculus I.
Fall 2025: Math 1113 Precalculus.