42 citations · 434 across the 64 of their papers we have counts for
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math.GT2009★ 1 cited
On multiply twisted knots that are Seifert fibered or toroidal
Jessica S. Purcell
We consider knots whose diagrams have a high amount of twisting of multiple strands. By encircling twists on multiple strands with unknotted curves, we obtain a link called a gener…
math.GT2009★ 12 cited
Geometric limits of knot complements
Jessica S. Purcell, Juan Souto
We prove that any complete hyperbolic 3--manifold with finitely generated fundamental group, with a single topological end, and which embeds into $\BS^3$ is the geometric limit of…
math.GT2009★ 9 cited
On diagrammatic bounds of knot volumes and spectral invariants
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
In recent years, several families of hyperbolic knots have been shown to have both volume and (first eigenvalue of the Laplacian) bounded in terms of the twist number of a di…