My research focuses on developing and applying categorical tools to investigate symplectic manifolds, particularly through (wrapped) Fukaya categories and microlocal sheaves. This naturally involves working with higher structures like differential graded (dg) categories and A-infinity categories.

I am currently developing computable descriptions of categorical operations on dg categories, including homotopy colimits, functor categories, and Hochschild cohomology. These computations have wide-ranging applications, from local studies of homological mirror symmetry and the Weinstein conjecture to deriving formulas for knot contact homology, Heegaard Floer homology, and aspects of representation theory. Additionally, I explore structures on (wrapped) Fukaya categories, including stability conditions, entropy, and cluster structures.