27 citations · 145 across the 30 of their papers we have counts for
22 papers · 1 filter
Complex hyperbolic surfaces whose closed geodesics are all simple
Sami Douba, D. B. McReynolds, Julien Paupert +1
We show that all closed geodesics in any arithmetic complex hyperbolic surface of second type are simple. These include the fake projective planes studied by Mumford, Klingler, Pra…
Homological dimension of discrete subgroups in higher rank simple Lie groups
Chris Connell, D. B. McReynolds, Shi Wang
We investigate the homological dimensions of discrete subgroups of non-compact simple Lie groups using a flow recently introduced by the authors. Using new estimates on the critica…
Coarse models of homogeneous spaces and translations-like actions
D. B. McReynolds, Mark Pengitore
For finitely generated groups and equipped with word metrics, a translation-like action of on is a free action where each element of moves elements of a bou…
Absolute profinite rigidity and hyperbolic geometry
M. R. Bridson, D. B. McReynolds, A. W. Reid +1
We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its s…
Areas of totally geodesic surfaces of hyperbolic 3-orbifolds
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental invariant of the topology of M via Mostow-Prasad Rigidity. Motivated by this, th…
Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds
Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessarily commensurable. While this is known to be true for arithmetic hyperbolic 3-m…