27 citations · 145 across the 30 of their papers we have counts for
4 papers · 1 filter
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)…
Finite subgroups of arithmetic lattices in U(2,1)
D. B. McReynolds
The principle result of this article is the determination of the possible finite subgroups of arithmetic lattices in U(2,1).