News

-I am organizing a conference on algebraic geometry and related areas in Santiago, Chile from March 4-8, 2024.

-I am organizing a workshop on algebraic K-theory and Brauer groups in Oaxaca, Mexico from June 24-28, 2024.

-I gave a brief introduction to algebraic stacks in SGA and to supplement the lectures I compiled a list of exercises. 

Short CV

As of January 2023, I am an Assistant Professor in the Department of Mathematics in Universidad Católica de Chile. 

I received my PhD  from the University of Washington in 2018 and from 2018 to 2022, I did postdocs at the University of Arizona, Heinrich-Heine Universität, the Mittag-Leffler Institut, and the Institut de Mathématique d'Orsay. 

Research Interests

Algebraic and Arithmetic Geometry: Algebraic stacks and applications, vector bundles, moduli spaces, Brauer groups, twisted sheaves, the resolution property, and arithmetic hyperbolicity.

Publications and Preprints

0. Some Theorems on the Resolution Property and the Brauer map (Thesis)

1. Quasi-affineness and the 1-Resolution Property (joint with Neeraj Deshmukh and Amit Hogadi) (arxiv) 

International Mathematics Research Notices, Volume 2022, Issue 3, February 2022, Pages 2224–2249.

2. The resolution property via Azumaya algebras (arxiv) 

Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2021, no. 774, 2021, pp. 93-126.

3. Experiments on the Brauer map in high codimension (arxiv) 

Algebra Number Theory 16, No. 3, 747-775 (2022)

4. Good reduction and cyclic covers (joint with Ariyan Javanpeykar and Daniel Loughran) (arxiv)  

Journal of the Institute of Mathematics of Jussieu

5. Extending vector bundles from curves (arxiv)  

Mathematical Research Letters

6. The resolution property holds away from codimension three (joint with Stefan Schröer) (arxiv)

Transactions of the American Mathematical Society,  376 (2023), 1041-1063

7. Unipotent morphisms  (joint with Daniel Bragg and Jack Hall) (arxiv)

Submitted

8. Smooth hypersurfaces in abelian varieties over arithmetic rings (joint with Ariyan Javanpeykar) (arxiv) 

Forum of Mathematics, Sigma, 10, E97

9. Formal GAGA for gerbes (joint with Andrew Kresch) (arxiv) 

Submitted

10. A criterion for smooth weighted blow-downs (joint with Veronica Arena, Andrea Di Lorenzo, Giovanni Inchiostro, Stephen Obinna, and Michele Pernice) (arxiv)