Noah Caplinger

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20242026

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math.GR2026

Horocyclic products have Y-posets of hyperbolic structures

Noah Caplinger

A hyperbolic structure on a group $G$ is a (not necessarily properly discontinuous) cobounded action of $G$ on a Gromov hyperbolic space, considered up to coarsely $G$ -equivariant…

math.GR2025

Groups acting on horocyclic products

Noah Caplinger, Daniel N. Levitin

Horocyclic products are a well-studied class of metric spaces that provide models for various solvable Lie groups, Baumslag-Solitar groups, and Lamplighter groups. Let $G$ act geom…

math.GR2024

Solvable Baumslag-Solitar Lattices

Noah Caplinger

The solvable Baumslag Solitar groups $BS (1, n)$ each admit a canonical model space, $X_{n}$ . We give a complete classification of lattices in $G_{n} = Isom^{+} (X_{n})$ and fin…