My research focuses on gauge theory—the study of connections on principal bundles—and its applications to mathematical physics. I am particularly interested in extending gauge-theoretic methods to more complicated spaces, such as the path space of a differentiable manifold (which leads to higher gauge theory). One approach I am thinking about applies Souriau's framework of diffeology. Most of my work broadly draws on techniques from differential topology and geometry, Lie theory, and some areas of algebra.