42 citations · 434 across the 64 of their papers we have counts for
66 papers
Hyperbolic manifolds without positive spun triangulations
David Futer, Jessica S. Purcell, Saul Schleimer
Using a result of Choi, we provide the first examples of pairs consisting of a closed hyperbolic three-manifold and a simple closed geodesic, such that there is no positive spun id…
Volumes of ideal hyperbolic drums
Eric Chesebro, Justin Lanier, Emma N. McQuire +3
Milnor computed the volumes of ideal hyperbolic prisms as part of an effort to construct 3-manifolds whose volumes are finite rational sums of the Lobachevsky function evaluated at…
On Geometric triangulations of double twist knots
Dionne Ibarra, Daniel V. Mathews, Jessica S. Purcell
In this paper we construct two different explicit triangulations of the family of double twist knots using methods of triangulating Dehn fillings, with layered solid tori…
Triangulations of the 3-sphere with knotted edge
Dionne Ibarra, Daniel V. Mathews, Jessica S. Purcell +1
We prove that for any knot , there exists a one-vertex triangulation of the -sphere containing an edge forming . The proof is constructive, and based on fully augmented li…
Excluding cosmetic surgeries on hyperbolic 3-manifolds
David Futer, Jessica S. Purcell, Saul Schleimer
This paper employs knot invariants and results from hyperbolic geometry to develop a practical procedure for checking the cosmetic surgery conjecture on any given one-cusped manifo…
Arithmetic modular links
José Andrés Rodríguez Migueles, Tali Pinsky, Jessica S. Purcell
We construct a sequence of geodesics on the modular surface such that the complement of the canonical lifts to the unit tangent bundle are arithmetic 3-manifolds.