Neil R. Hoffman

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20242026

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math.GT2026

Conjugacy Distinguished Cosets in Hyperbolic $3$ -Manifold Groups

David Futer, Emily Hamilton, Neil R Hoffman

A subset $S$ of a group $G$ is \emph{conjugacy distinguished} if the union of all conjugates of $S$ is closed in the profinite topology on $G$ . We prove that if $M = \mathbb{H}^3/Γ…

math.GT2025

Knot complements decomposing into prisms

Jason DeBlois, Arshia Gharagozlou, Neil R Hoffman

We describe four hyperbolic knot complements in $S^{3}$ , each of which covers a prism orbifold: the quotient of $H^{3}$ by the action of a discrete group generated by…

math.GT2024

Mixed-platonic 3-manifolds

Eric Chesebro, Michelle Chu, Jason DeBlois +3

We introduce a class of cusped hyperbolic $3$ -manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain pr…

Conjugacy Distinguished Cosets in Hyperbolic 3-Manifold Groups

Knot complements decomposing into prisms

Mixed-platonic 3-manifolds

Conjugacy Distinguished Cosets in Hyperbolic $3$ -Manifold Groups