Michael Zshornack

activity

20222026

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3 papers · 1 filter

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.GT2023

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 $π_{1} (S)$ with image in $SL (n, Q)$ is d…

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)

Rational approximation for Hitchin representations

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 $SL (n, R)$