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math.GR2026
Near optimal spectral gaps for line bundles on hyperbolic three-manifolds
Michael Magee, Anna Roig-Sanchis, Joe Thomas
We prove that there exists a sequence of two-torsion Hermitian line bundles on closed hyperbolic three-manifolds, with volume tending to infinity, and with asymptotically optimal s…
math.GR2023
Strongly convergent unitary representations of right-angled Artin groups
Michael Magee, Joe Thomas
We prove using a novel random matrix model that all right-angled Artin groups have a sequence of finite dimensional unitary representations that strongly converge to the regular re…