Title: Some tame or wild Cantor dynamical systems Abstract: A topological dynamical system is a pair $(X,T)$ where $X$ is a compact metric spaces and $T$ is a group or semigroup acting continuously on $X$. One algebraic invariant of a

Title: Nodal deficiency via equipartition energy functionals and the Dirichlet-to-Neumann map Abstract: A classic result in differential equations is that the nth eigenfunction of a Sturm-Liouville boundary value problem has precisely n-1 zeros. Courant’s nodal domain theorem provides a natural

Title: Linear stability of slowly rotating Kerr spacetimes Abstract: I will describe joint work with Dietrich Häfner and András Vasy in which we study the asymptotic behavior of linearized gravitational perturbations of Schwarzschild or slowly rotating Kerr black hole spacetimes. We show