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/
Keywords
- hyperbolic geometry
- 3-manifolds
- Knot theory
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2016 2021
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 2007 2019
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
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
Spacious knots
Kent, A. E. & Purcell, J. S., 1 Jan 2018, In : Mathematical Research Letters. 25, 2, p. 581-595 15 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access
File
Geometry of planar surfaces and exceptional fillings
Hoffman, N. R. & Purcell, J. S., 1 Apr 2017, In : Bulletin of the London Mathematical Society. 49, 2, p. 185-201 17 p.Research output: Contribution to journal › Article › Research › peer-review
Independence of volume and genus g bridge numbers
Purcell, J. & Zupan, A., 2017, In : Proceedings of the American Mathematical Society. 145, 4, p. 1805-1818 14 p.Research output: Contribution to journal › Article › Research › peer-review