My research is in studying smooth projective curves over an algebraically closed field k of characteristic 2. Specifically, I investigate a finite group G that acts on this curve where the order of the group is divisible by 2. My main goal is to be able to decompose the kG-module structure of the space of holomorphic differentials of the curve into its indecomposable kG-modules.
For more details, please see my research statement here.