Title: Pointwise bounds for joint eigenfunctions of quantum completely integrable (QCI) systems Abstract: I will discuss some recent results on improvements in supremum bounds for joint eigenfunctions of QCI systems together with sharp exponential decay estimates away from the projections

Decisions and Disease Do you usually get a flu shot every year? Do you usually take preventive measures to avoid contracting sexually transmitted infections? It is reasonable to expect that while many people may answer `no‘ to the first question,

Title: Geometric inequalities for axisymmetric black holes Abstract: In general relativity, isolated, dynamical black holes arise from asymptotically flat initial data for the Einstein equations. Such data are characterized by invariants such as the ADM mass and angular momentum. When angular

Title: Factorization of positive definite functions through convolution and the Turàn problem Abstract: If $G$ is a finite abelian group, we call a subset $S\subset G$ symmetric if $0\in G$ and $-x\in S$ whenever $x\in S$. We also let $S^*=(G\setminus