Jessica Purcell

Professor

ARC Future Fellow, School of Mathematics
Monash Data Futures Institute

https://orcid.org/0000-0002-0618-2840

EmailJessica.Purcell@monash.edu

Accepting PhD Students

PhD projects

Projects are available in hyperbolic geometry, 3-manifolds, and knot theory.

Research activity 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

Network

Recent external collaboration on country level. Dive into details by clicking on the dots or

1 Finished
2 Active

Connections in low-dimensional topology
Purcell, J. & Mathews, D.
1/01/21 → 31/12/23
Project: Research
Interactions of geometry and knot theory
Purcell, J.
Australian Research Council (ARC), Monash University
30/06/17 → 29/06/21
Project: Research
Quantum invariants and hyperbolic manifolds in three-dimensional topology
Purcell, J. & Mathews, D.
Australian Research Council (ARC), Monash University
1/01/16 → 31/07/20
Project: Research

39 Article
9 Chapter (Book)
3 Conference Paper
1 Book

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
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
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
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