I'm currently interested in commutative algebra and algebraic geometry in positive and mixed characteristics.
Papers
Centers of perfectoid purity. Journal de l'École polytechnique Mathématiques, DOI.
On tame ramification and centers of F-purity, w/ Javier Carvajal Rojas . Journal of the London Mathematical Society DOI. Here is a poster I made about it.
Talks:
Centers of perfectoid purity, Special session on commutative algebra, JMM, Winter 2026
Centros de pureza perfectoide, Seminario Chichimeca de Álgebra, UA-Aguascalientes,
Fall 2025
Centers of perfectoid purity, Algebra seminar, University of Missouri, Fall 2025
Centers of perfectoid purity, Workshop on Notions of Singularity in Different Characteristics, Banff International
Research Station, Fall 2025. Here is a recording of the talk.
Centers of perfectoid purity, Fall Southeastern AMS sectional, Tulane University, Fall
2025
Centers of perfectoid purity, Fall 2024, CIMAT AG/CA seminar
Centers of perfectoid purity, Fall 2024, Congress of the mexican mathematical society
Mixed characteristic compatible ideals, Summer 2024, Upcoming Researchers in Commutative Algebra, University of Nebraska Lincoln
On tame ramification and centers of F-purity, Spring 2024, CIMAT Commutative Algebra Learning Seminar, CIMAT
On tame ramification and centers of F-purity, Fall 2023, Commutative algebra seminar, University of Utah
On tame ramification and compatible ideals, Fall 2023, Student Seminar BIKES, University of Utah
Compatible ideals and their behavior under finite covers, Commutative Algebra Reading Seminar, Fall 2023, University of Nebraska, Lincoln.
An introduction to compatible ideals, Spring 2023, Student seminar, University of Michigan.
An introduction to compatible ideals, Spring 2023, Student seminar BIKES, University of Utah.