4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.GT2017★ 4 cited
Cusp shapes of Hilbert-Blumenthal surfaces
Joseph Quinn, Alberto Verjovsky
We introduce a new fundamental domain for the cusp stabilizer of a Hilbert modular group over a real quadratic field K=Q(sqrt n). This is constructed as the union of Dirichlet doma…
math.GT2017★ 1 cited
A Complex Quaternion Model for Hyperbolic 3-Space
Joseph A. Quinn
In 1900, Macfarlane proposed a hyperbolic variation on Hamilton's quaternions that closely resembles Minkowski spacetime. Viewing this in a modern context, we expand upon Macfarlan…
math.GT2017
Macfarlane Hyperbolic 3-Manfiolds
Joseph A. Quinn
We identify and study a class of hyperbolic 3-manifolds (which we call Macfarlane manifolds) whose quaternion algebras admit a geometric interpretation analogous to Hamilton's clas…