Will Hide

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20212025

most citedNear optimal spectral gaps for hyperbolic surfaces

5 citations · 6 across the 10 of their papers we have counts for

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Showing 2023Show all

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math.GT2023

Large- $n$ asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces

Will Hide, Joe Thomas

We study the geometry and spectral theory of Weil-Petersson random surfaces with genus- $g$ and $n$ cusps in the large- $n$ limit. We show that for a random hyperbolic surface in $\m…

math.SP2023

Effective lower bounds for spectra of random covers and random unitary bundles

Will Hide

Let $X$ be a finite-area non-compact hyperbolic surface. We study the spectrum of the Laplacian on random covering surfaces of X and on random unitary bundles over X. We show that…

Large-n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces

Effective lower bounds for spectra of random covers and random unitary bundles

Large- $n$ asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces