Research

My field of study is algebraic geometry and commutative algebra in positive characteristic, with a focus on F-singularity theory and F-invariants such as test ideals and F-signature. I'm also interested in their interaction with characteristic zero algebraic geometry, e.g. singularities in the MMP and multiplier ideals. My research has been concerned with arithmetic aspects of F-regularity. Concretely, I'm working on étale fundamental groups of strongly F-regular schemes and singularities, as well as finite torsors over these. I've also studied how the F-signature transforms under finite extensions and how it deforms in families.

List of publications

Preprints and submitted papers:

Conference Posters:

  • Fundamental groups of F-regular singularities via F-signature. (PDF)

  • Finite torsors over strongly F-regular singularities. (PDF)