27 citations · 145 across the 30 of their papers we have counts for
36 papers
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…
Subgroups with all finite lifts isomorphic are conjugate
Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2
We show that for non-conjugate subgroups and of a finite group there exists an extension of (by a finite group) in which the pre-images of and are n…
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…
Diamonds: Homology and the Central Series of Groups
Milana Golich, D. B. McReynolds
We establish an analog of a theorem of Stallings which asserts the homomorphisms between the universal nilpotent quotients induced by a homomorphism of groups are isomorp…
The natural flow and the critical exponent
Chris Connell, D. B. McReynolds, Shi Wang
Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a non-positively curved Riemannian manifold . As with the natural map, the -Jacobia…
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…