4 citations · 7 across the 7 of their papers we have counts for
8 papers
Controlling manifold covers of orbifolds
D. B. McReynolds
In this article we prove a generalization of Selberg's lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are t…
Graphs of subgroups of free groups
Larsen Louder, D. B. McReynolds
We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna…
Arithmetic lattices and weak spectral geometry
D. B. McReynolds
This note is an expansion of three lectures given at the workshop "Topology, Complex Analysis and Arithmetic of Hyperbolic Spaces" held at Kyoto University in December of 2006 and…
Cusps of arithmetic orbifolds
D. B. McReynolds
This thesis investigates cusp cross-sections of arithmetic real, complex, and quaternionic hyperbolic --orbifolds. We give a smooth classification of these submanifolds and anal…
Arithmetic cusp shapes are dense
D. B. McReynolds
In this article we verify an orbifold version of a conjecture of Nimershiem from 1998. Namely, for every flat -manifold , we show that the set of similarity classes of flat m…
Length and eigenvalue equivalence
Christopher J. Leininger, D. B. McReynolds, Walter D. Neumann +1
Two Riemannian manifolds are called eigenvalue equivalent when their sets of eigenvalues of the Laplace-Beltrami operator are equal (ignoring multiplicities). They are (primitive)…