Michael Magee

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20112026

most citedA random cover of a compact hyperbolic surface has relative spectral gap

\frac{3}{16} - ε

24 citations · 143 across the 23 of their papers we have counts for

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math.RT2021★ 4 cited

Random Unitary Representations of Surface Groups II: The large $n$ limit

Michael Magee

Let $Σ_{g}$ be a closed surface of genus $g \geq 2$ and $Γ_{g}$ denote the fundamental group of $Σ_{g}$ . We establish a generalization of Voiculescu's theorem on the asymptotic $*$ -…

math.RT2021★ 16 cited

Random Unitary Representations of Surface Groups I: Asymptotic expansions

Michael Magee

In this paper we study random representations of fundamental groups of surfaces into special unitary groups. The random model we use is based on a symplectic form on moduli space d…

Random Unitary Representations of Surface Groups II: The large n limit

Random Unitary Representations of Surface Groups I: Asymptotic expansions

Random Unitary Representations of Surface Groups II: The large $n$ limit