## 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.