Michael Zshornack

activity

20222026

collaborators

3 papers

math.GT2026

Thin surface subgroups of non-uniform arithmetic lattices in $SO^{+} (n, 1)$

Sara Edelman-Muñoz, Michael Zshornack

We show that the fundamental groups of all non-compact, arithmetic, hyperbolic, $n$ -manifolds for $n \geq 4$ contain thin surface subgroups. As a consequence of the proof of this th…

math.GR2025

A family of accumulation points of non-free rational numbers

Christopher Buyalos, Jayden Thadani, Xinbei Wang +2

For any $q \in R$ , let $A := (1011), B_{q} := (1 q 01)$ and let $G_q:=\…

math.GT2022

Integral Zariski dense surface groups in $SL (n, R)$

Michael Zshornack

Given a number field $K$ , we show that certain $K$ -integral representations of closed surface groups can be deformed to being Zariski dense while preserving many useful properties…

Thin surface subgroups of non-uniform arithmetic lattices in SO+(n,1)

A family of accumulation points of non-free rational numbers

Integral Zariski dense surface groups in SL(n,R)

Thin surface subgroups of non-uniform arithmetic lattices in $SO^{+} (n, 1)$

Integral Zariski dense surface groups in $SL (n, R)$