We study graph products of groups from the viewpoint of measured group theory. We first
establish a full measure equivalence classification of graph products of countably infinite …

In 1995, Rips and Sela asked if torsionfree hyperbolic groups admit globally stable
cylinders. We establish this property for all residually finite hyperbolic groups and curve …

We show that an arithmetic lattice $\Gamma $ in a semi-simple Lie group $ G $ contains a
torsion-free subgroup of index $\delta (v) $ where $ v=\mu (G/\Gamma) $ is the co-volume of …

We show that if $ H $ is a non-elementary hyperbolic commensurated subgroup of infinite
index in a hyperbolic group $ G $, then $ H $ is virtually a free product of hyperbolic surface …

We prove that an infinite-ended group whose one-ended factors have finite-index subgroups
and are in a family of groups with a nonzero multiplicative invariant is not quasi-isometrically …

Marked Length Spectrum and Arithmeticity Marked Length Spectrum and Arithmeticity
Abstract This dissertation considers the marked length spectrum of negatively curved closed …