Projects per year
Personal profile
Biography
Jessica Purcell is a Professor in the School of Mathematics at Monash University, and Associate Dean of Research in the Faculty of Science.
Her research interests are 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.
Website: http://users.monash.edu/~jpurcell/
Research area keywords
- hyperbolic geometry
- 3-manifolds
- Knot theory
Network
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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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
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Effective bilipschitz bounds on drilling and filling
Futer, D., Purcell, J. S. & Schleimer, S., 3 Aug 2022, In: Geometry and Topology. 26, 3, p. 1077-1188 112 p.Research output: Contribution to journal › Article › Research › peer-review
5 Citations (Scopus) -
Effective drilling and filling of tame hyperbolic 3-manifolds
Futer, D., Purcell, J. & Schleimer, S., 2022, In: Commentarii Mathematici Helvetici. 97, 3, p. 457-512 56 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Right-angled polyhedra and alternating links
Champanerkar, A., Kofman, I. & Purcell, J. S., 2022, In: Algebraic and Geometric Topology. 22, 2, p. 739-784 46 p.Research output: Contribution to journal › Article › Research › peer-review
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Satellites and Lorenz knots
De Paiva Souza, T. D. P. & Purcell, J., 5 Dec 2022, (Accepted/In press) In: International Mathematics Research Notices. 34 p., rnac335.Research output: Contribution to journal › Article › Research › peer-review
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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
6 Citations (Scopus)