27 citations · 145 across the 30 of their papers we have counts for
5 papers · 1 filter
Determining hyperbolic 3-manifolds by their surfaces
D. B. McReynolds, A. W. Reid
In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3-manifold is determined by the surface subgroups of its fundamental group. Moreover,…
Zariski Closures and Subgroup Separability
Larsen Louder, D. B. McReynolds, Priyam Patel
The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generat…
A vanishing theorem for the homology of discrete subgroups of and
Chris Connell, Benson Farb, D. B. McReynolds
For any discrete, torsion-free subgroup of (resp.\ ) with no parabolic elements, we prove that (resp.\ for…
Locally Equivalent Correspondences
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
Given a pair of number fields with isomorphic rings of adeles, we construct bijections between objects associated to the pair. For instance we construct an isomorphism of Brauer gr…
Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds
Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1
Our main result is that for all sufficiently large , the set of commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with fixed invariant trace field and…