Supersymmetric Gauge Theories & Toric Geometry

My research centers on supersymmetric gauge theories that arise within string theory, with particular emphasis on theories associated to toric Calabi–Yau manifolds. This rich interplay gives rise to elegant combinatorial and algebraic techniques for studying the vacuum structure, dualities, and dynamics of the corresponding gauge theories. I am particularly interested in analyzing and extending the mathematical and physical structures that emerge from this interplay.