Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Timelike completeness as an obstruction to $\textit{C}$$^{0}$Extensions
The study of low regularity (in)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maximal) as a weak solution. In this paper we ... 
Inequalities for the Gaussian measure of convex sets
This note presents families of inequalities for the Gaussian measure of convex sets which extend the recently proven Gaussian correlation inequality in various directions. 
Random Hermitian Matrices and Gaussian Multiplicative Chaos
We prove that when suitably normalized, small enough powers of the absolute value of the characteristic polynomial of random Hermitian matrices, drawn from onecut regular unitary invariant ensembles, converge in law to ... 
Semisimple filtrations of tilting modules for algebraic groups
(20180207)Let $G$ be a reductive algebraic group over an algebraically closed field $k$ of characteristic $p > 0$. The indecomposable tilting modules $\{T(\lambda)\}$ for $G$, which are labeled by highest weight, form an important ...