4 citations · 7 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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)…