Projects per year
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
Network
Projects
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Interactions of geometry and knot theory
Australian Research Council (ARC), Monash University
30/06/17 → 29/06/21
Project: Research
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Quantum invariants and hyperbolic manifolds in three-dimensional topology
Australian Research Council (ARC), Monash University
1/01/16 → 31/07/20
Project: Research
Research output
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Geometry of alternating links on surfaces
Howie, J. A. & Purcell, J. S., 23 Jan 2020, In : Transactions of the American Mathematical Society. 373, 4, p. 2349-2397 49 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
State graphs and fibered state surfaces
Girão, D. & Purcell, J. S., 1 Jan 2020, In : Algebraic and Geometric Topology. 20, 2, p. 987-1014 28 p.Research output: Contribution to journal › Article › Research › peer-review
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A Survey of Hyperbolic Knot Theory
Futer, D., Kalfagianni, E. & Purcell, J. S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Cham Switzerland: Springer, Vol. 284. p. 1-30 30 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review
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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 journal › Article › Research › peer-review
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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 journal › Article › Research › peer-review