Representation theory is about understanding symmetries of physical systems by studying algebraic objects using linear algebra. My research area seeks to describe representation theory in terms of combinatorial objects. Specifically, I focus on the representations of Kac-Moody Lie (super)algebras by using Kashiwara’s theory of crystals, which roughly describe what happens when the temperature in the system goes to zero. I have been applying these to Schubert calculus, which aims to understand the geometry of subspaces of a vector space, and exploring their connections to other areas, such as physics and probability theory.