Michael Zshornack

collaborators

3 papers

math.GT2026

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

Sara Edelman-MuÃ±oz, 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.GT2025

Rational approximation for Hitchin representations

Jacques Audibert, Michael Zshornack

A consequence of Rapinchuk et al. is that for $S$ a closed surface of genus $g \geq 2$ , the set of Hitchin representations of $I ¨ _{1} (S)$ with image in $SL (n, Q)$ is…

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

A family of accumulation points of non-free rational numbers

Rational approximation for Hitchin representations

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