I am primarily interested in developing and using algebraic tools to explore the symplectic geometry of manifolds, especially in the context of the Homological Mirror Symmetry and Weinstein conjectures.

These tools include Fukaya categories and microlocal sheaves. To this end, I extensively study and employ higher categories, particularly dg and A-infinity categories.

My research also covers related areas such as mathematical physics, representation theory, low-dimensional topology, and topological data analysis.

In my research, I like to come up with formulas.