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 2024 · math.SPShow all

2 papers · 2 filters

math.SP2024

Limit points of uniform arithmetic bass notes

Will Hide, Bram Petri

We prove that the set of limit points of the set of all spectral gaps of closed arithmetic hyperbolic surfaces equals $[0, \frac{1}{4}]$ .

math.SP2024

Small eigenvalues of hyperbolic surfaces with many cusps

Will Hide, Joe Thomas

We study topological lower bounds on the number of small Laplacian eigenvalues on hyperbolic surfaces. We show that for any $a > 0$ , there exists $b > 0$ such that if $g < an$ and $X$ ha…