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
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects
Interactions of geometry and knot theory
Australian Research Council (ARC), Monash University
30/06/17 → 29/06/21
Project: Research
Quantum invariants and hyperbolic manifolds in three-dimensional topology
Australian Research Council (ARC), Monash University
1/01/16 → 31/07/19
Project: Research
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 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
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 journal › Article › Research › peer-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 journal › Article › Research › peer-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 journal › Article › Research › peer-review
1
Citation
(Scopus)