Jessica Purcell

Professor

Accepting PhD Students

20072021

Research output per year

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Personal profile

Biography

Jessica Purcell is a Professor in the School of Mathematical Sciences, with research interests 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.

She is currently accepting new PhD students.

Website: http://users.monash.edu/~jpurcell/

Research area keywords

  • hyperbolic geometry
  • 3-manifolds
  • Knot theory

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Projects

Research Output

Cusp shape and tunnel number

Dang, V. & Purcell, J. S., 1 Mar 2019, In : Proceedings of the American Mathematical Society. 147, 3, p. 1351-1366 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Effective distance between nested Margulis tubes

Futer, D., Purcell, J. S. & Schleimer, S., 15 Sep 2019, In : Transactions of the American Mathematical Society. 372, 6, p. 4211-4237 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Geometry of biperiodic alternating links

Champanerkar, A., Kofman, I. & Purcell, J. S., 2019, In : Journal of the London Mathematical Society. 99, 3, p. 807-830 24 p.

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

On the tree-width of knot diagrams

de Mesmay, A., Purcell, J., Schleimer, S. & Sedgwick, E., 1 Jan 2019, In : Journal of Computational Geometry. 10, 1, p. 164-180 17 p.

Research output: Contribution to journalArticleResearchpeer-review

Treewidth, crushing and hyperbolic volume

Maria, C. & Purcell, J. S., 1 Jan 2019, In : Algebraic and Geometric Topology. 19, 5, p. 2625-2652 28 p.

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)