Corey Bregman

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20152022

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math.GT2022

Isometry groups of skewed $Γ$ -complexes

Corey Bregman

Let $A_{Γ}$ be a right-angled Artin group. Charney, Vogtmann and the author constructed an outer space for $Out (A_{Γ})$ generalizing both $C V_{n}$ for $Out (F_{n})$ and the sy…

math.GT2021

The normal growth exponent of a codimension-1 hypersurface of a negatively curved manifold

Corey Bregman, Merlin Incerti-Medici

Let $X$ be a Hadamard manifold with pinched negative curvature $- b^{2} \leq κ \leq - 1$ . Suppose $Σ \subseteq X$ is a totally geodesic, codimension-1 submanifold and consider the geodesic…

math.GT2017

Isometry groups of CAT(0) cube complexes

Corey Bregman

Given a CAT(0) cube complex X, we show that if Aut(X) $\neq =$ Isom(X) then there exists a full subcomplex of X which decomposes as a product with $R^{n}$ . As applications, we…

Isometry groups of skewed Γ-complexes

The normal growth exponent of a codimension-1 hypersurface of a negatively curved manifold

Isometry groups of CAT(0) cube complexes

Isometry groups of skewed $Γ$ -complexes