Matthew Zevenbergen

activity

20242026

collaborators

3 papers

math.GT2026

Combinations and chromatography of paths of Kleinian groups

Matthew Zevenbergen

We study continuous paths in the Chabauty topology on the set $D_{n}$ of torsion free discrete subgroups of the isometry group of $n$ -dimensional hyperbolic space. We prove…

math.GT2025

Systolic lattice extensions of classical Schottky groups

Junzhi Huang, Matthew Zevenbergen

We produce lattice extensions of a dense family of classical Schottky subgroups of the isometry group of $d$ -dimensional hyperbolic space. The extensions produced are said to be sy…

math.GT2024

Connectivity in the space of framed hyperbolic 3-manifolds

Matthew Zevenbergen

We prove that the space $H_{\infty}$ of framed infinite volume hyperbolic $3$ -manifolds is connected but not path connected. Two proofs of connectivity of this space, which…