3 papers
math.MG2025
1-Uryson width and covers
Hannah Alpert, Arka Banerjee, Panos Papasoglu
We investigate the following question: Do there exist Riemannian polyhedra such that the 1-Uryson width of their universal covers is bounded but…
math.DG2024
Growth in the universal cover under large simplicial volume
Hannah Alpert
Consider a closed manifold with two Riemannian metrics: one hyperbolic metric, and one other metric . What hypotheses on guarantee that for a given radius , there are…
math.CO2023
Fast winning strategies in a generalized van der Waerden game
Hannah Alpert, Liam Barham, Brian Freidin +2
Consider the following Maker-Breaker game. Fix a finite subset of the naturals. The players Maker and Breaker take turns choosing previously unclaimed natural…