Prof Jessica Purcell

Research Overview

Jessica Purcell's research is in geometry and topology. She is particularly interested in 3-manifolds, hyperbolic geometry, and knot theory, and problems that overlap these areas, as well as their relationship with other areas of mathematics.

Selected Publications

[1] Girão, Darlan ; Purcell, Jessica S. "State graphs and fibered state surfaces". In: Algebraic and Geometric Topology. 2020 ; Vol. 20, No. 2. pp. 987-1014. https://doi.org/10.2140/agt.2020.20.987

[2] Howie, Joshua A. ; Purcell, Jessica S. "Geometry of alternating links on surfaces". In: Transactions of the American Mathematical Society. 2020 ; Vol. 373, No. 4. pp. 2349-2397. https://doi.org/10.1090/tran/7929

[3] Maria, Clément ; Purcell, Jessica S. "Treewidth, crushing and hyperbolic volume". In: Algebraic and Geometric Topology. 2019 ; Vol. 19, No. 5. pp. 2625-2652. https://doi.org/10.2140/agt.2019.19.2625

[4] Futer, David ; Purcell, Jessica S. ; Schleimer, Saul. "Effective distance between nested Margulis tubes". In: Transactions of the American Mathematical Society. 2019 ; Vol. 372, No. 6. pp. 4211-4237. https://doi.org/10.1090/tran7678

[5] de Mesmay, Arnaud ; Purcell, Jessica ; Schleimer, Saul ; Sedgwick, Eric. "On the tree-width of knot diagrams". In: Journal of Computational Geometry. 2019 ; Vol. 10, No. 1. pp. 164-180.