I'm currently interested in commutative algebra and algebraic geometry in positive and mixed characteristics.
Papers
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.
Preprints
Centers of perfectoid purity. Here is an almost final version.
Talks:
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.