Research

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. Arxiv link.

    • 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.