My research interests revolve around representation theory and its interactions with algebraic geometry, combinatorics, and applications. In pure mathematics, I work in geometric representation theory, particularly on quantizations of conical symplectic resolutions, with an emphasis on Nakajima quiver varieties. I am also interested in various manifestations of the (derived) McKay correspondence and, more generally, in constructing meaningful maps between Hall algebras associated with (sub)categories of derived-equivalent varieties. In quantum computing, my work focuses on the performance analysis and structural properties of algorithms for solving combinatorial optimization problems, especially the Quantum Approximate Optimization Algorithm (QAOA) and, more broadly, Variational Quantum Algorithms.