About me
About me
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I'm a first-year PhD student in Mathematics at the University of Edinburgh under the supervision of Prof. Ivan Cheltsov, and a member of AGQ CDT.
My main research interest is birational geometry, with particular focus on equivariant birational geometry, Cremona groups, Fano varieties and their K-stability.
Before coming to Edinburgh I completed a Master's degree in Mathematics and a professional degree in Mathematical Engineering at Universidad Técnica Federico Santa María, Valparaíso, Chile, where I worked with Prof. Pedro Montero.
Here is my CV.
Research
Research
Preprints & Works in Progress
Almost simple subgroups of the space Cremona group — In preparation, 2026.
Theses
K-stability of higher-dimensional Fano varieties — Master's thesis, UTFSM, 2025. Supervised by Prof. Pedro Montero.
Expository notes
Notes on K3 surfaces — PhD program project, The University of Edinburgh, 2026.
Background
Background
2025-2029: PhD in Mathematics at The University of Edinburgh, Edinburgh, United Kingdom.
2024: Master in Mathematics at Universidad Técnica Federico Santa María, Valparaíso, Chile.
2019-2024: Mathematical Engineering at Universidad Técnica Federico Santa María, Valparaíso — includes a Bachelor's degree in Mathematics (2019–2022).
Activities
Activities
2026
Cremona Conference 2026 — Basel-Neuchâtel, Switzerland, August 31 - September 11.
Junior Algebraic Geometry Workshop 2026 — UCLA, Los Ángeles, July 13-17.
K-stability and Equivariant Birational Geometry — The University of Edinburgh, April 20-24.
Deformation Theory Reading Group — The University of Edinburgh, January-April. (Organizer)
2025
Enumerative Geometry Reading Group — The University of Edinburgh, October-December.
Intersection Theory Seminar — UTFSM, Valparaíso, Chile.
2024
XCII Encuentro Anual de la Sociedad Matemática de Chile — Universidad Austral, Valdivia, Chile, December 10-13. Talk: "K-stability of Fano-Mukai fourfolds of genus 9'' (Geometry Session).
K-stability, Geometry and Group Actions Workshop — Université de Poitiers, Poitiers, France, October 7-10. Talk: "K-stability of Fano-Mukai fourfolds of genus 9''.
V Latin American School of Algebraic Geometry — Cabo Frio, Brazil. I participated as Teaching Assistant for the mini-course "Fano manifolds and the Lefschetz defect" delivered by Cinzia Casagrande.
XXIV Coloquio Latinoamericano de Álgebra — PUC, Santiago, Chile, July 22-26.
Algebraic Geometry Seminar — PUC, Santiago, Chile, March-July. Regular seminar organized by Giancarlo Urzúa. In collaboration with Pedro Montero (UTFSM), we gave a series of lectures about K-stability of Fano varieties. Lecture notes here.
2023
8th Iberoamerican Congress on Geometry — Pucón, Chile, December 10-15.
Abelian Varieties Seminar — UTFSM,Valparaíso, Chile, August-November. Co-organized with Pedro Montero (UTFSM) and Mateo Higaldo (UTFSM).
Teaching
Teaching
At The University of Edinburgh
Introduction to Mathematical Analysis — Teaching Assistant, 2026. Information here.
At UTFSM
Algebra & Geometry — Part-time Lecturer (First Semester 2025), Teaching Assistant (First Semester 2020).
Complements of Calculus & Algebra — Part-time Lecturer, First Semester 2025.
Algebraic Geometry — Teaching Assistant for Prof. Roberto Villaflor, Second Semester 2024. Information here.
Algebraic Topology — Teaching Assistant for Prof. Pedro Montero, First Semester 2024. Information here.
Abstract Algebra — Teaching Assistant for Prof. Pedro Montero, First Semester 2023. Information here.
Functional Analysis — Teaching Assistant for Prof. Michael Karkulik, Second Semester 2022.
Multivariable Calculus — Teaching Assistant, Second Semester 2021 and Second Semester 2022.
Linear Algebra — Teaching Assistant for Prof. Michael Karkulik, First Semester 2022.
Introduction to Calculus — Teaching Assistant, First Semester 2022.
Multivariable Calculus II — Teaching Assistant, First and Second Semester 2021.
Differential & Integral Calculus — Teaching Assistant, Second Semester 2020.
Contact information
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