Matt Clay

activity

20052025

most citedUniform hyperbolicity of the curve graph via surgery sequences

70 citations · 165 across the 25 of their papers we have counts for

collaborators

30 papers

math.MG2025

Pseudo-Isometric Surgery

Matt Clay, Josh Thompson

We introduce a type of surgery on metric spaces. This surgery, in some sense, seeks to replace a subspace $S$ of a metric space $X$ with another metric space $T$ via a function $f…

math.GT2025

Subgraph Entropy

Tarik Aougab, Matt Clay, Tawfiq Hamed

Given $r \geq 3$ , we prove that there exists $λ > 0$ depending only on $r$ so that if $G$ is a metric graph of rank $r$ with metric entropy $1$ , then there exists a proper subgraph $…

math.GR2023

Bounded projections to the $Z$ -factor graph

Matt Clay, Caglar Uyanik

Suppose $G$ is a free product $G = A_{1} * A_{2} * \dots * A_{k} * F_{N}$ , where each of the groups $A_{i}$ is torsion-free and $F_{N}$ is a free group of rank $N$ . Let $O$ be the de…

math.GR2021★ 1 cited

Chain flaring and $L^{2}$ -torsion of free-by-cyclic groups

Matt Clay

We introduce a condition on the monodromy of a free-by-cyclic group, $G_{ϕ}$ , called the chain flare condition, that implies that the $L^{2}$ -torsion, $ρ^{(2)} (G_{ϕ})$ , is non-zero. We c…

math.GT2020

Thermodynamic metrics on outer space

Tarik Aougab, Matt Clay, Yo'av Rieck

In this paper we consider two piecewise Riemannian metrics defined on the Culler-Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work…

math.GR2020

Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups

Corey Bregman, Matt Clay

Let $G$ be a free-by-cyclic group or a 2-dimensional right-angled Artin group. We provide an algebraic and a geometric characterization for when each aspherical simplicial complex…