Colloquium

Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties of their underlying graphs. In this talk, I will discuss how the independence polynomial P_G(x), the generating function for independent sets of a graph G, […]

Flyer for Kim's talk. Abstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth, it exhibits a […]

Abstract: Stable Khovanov homology Kh(T(n, \infty)) is an algebraic limit of the Khovanov homology groups of torus links T(n, k) on a fixed number of strands n, when more and more full twists are added as k \to \infty. Stable Khovanov homology is intimately related to the Jones polynomial because it categorifies the Jones-Wenzl projector, […]

Abstract: In this talk, we study the optimal timing of selling a risky asset within the distribution builder framework. Instead of specifying a utility function or risk-aversion parameter, this approach allows an investor to express preferences directly through a desired distribution of the selling price. Mathematically, the problem is closely related to the Skorokhod embedding […]