### Recent Submissions

• #### 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 one-cut regular unitary invariant ensembles, converge in law to ...
• #### Semisimple filtrations of tilting modules for algebraic groups ﻿

(2018-02-07)
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 ...