Projects per year
Personal profile
Biography
Jessica Purcell is a Professor in the School of Mathematics at Monash University.
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: https://sites.google.com/view/jessica-purcell-math/
Research area keywords
- hyperbolic geometry
- 3-manifolds
- Knot theory
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Geodesic arcs and surfaces for hyperbolic knots and 3-manifolds
Purcell, J. (Primary Chief Investigator (PCI))
ARC - Australian Research Council
1/03/24 → 28/02/27
Project: Research
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Connections in low-dimensional topology
Purcell, J. (Primary Chief Investigator (PCI)) & Mathews, D. (Chief Investigator (CI))
1/03/22 → 28/06/25
Project: Research
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Interactions of geometry and knot theory
Purcell, J. (Primary Chief Investigator (PCI))
ARC - Australian Research Council, Monash University
30/06/17 → 29/06/21
Project: Research
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Quantum invariants and hyperbolic manifolds in three-dimensional topology
Purcell, J. (Primary Chief Investigator (PCI)) & Mathews, D. (Chief Investigator (CI))
ARC - Australian Research Council, Monash University
1/01/16 → 31/07/20
Project: Research
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A-polynomials, Ptolemy equations and Dehn filling
Howie, J. A., Mathews, D. V. & Purcell, J. S., 20 Jun 2025, In: Algebraic and Geometric Topology. 25, 3, p. 1265-1320 56 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access1 Citation (Scopus) -
A symplectic basis for 3-manifold triangulations
Mathews, D. V. & Purcell, J. S., 27 Aug 2025, In: Communications in Analysis and Geometry. 33, 4, p. 815-878 64 p.Research output: Contribution to journal › Article › Research › peer-review
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Geometry of fully augmented links in doubled 3-manifolds
Purcell, J. S., Reid, C. & Stewart, J., 2025, In: Journal of Knot Theory and its Ramifications. 34, 6, 17 p., 2550017.Research output: Contribution to journal › Article › Research › peer-review
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Volume bounds for hyperbolic rod complements in the 3-torus
Do, N., On Yu Hui, C. & Purcell, J. S., 2025, In: Pacific Journal of Mathematics. 339, 1, p. 167–189 23 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Alternating links on surfaces and volume bounds
Kalfagianni, E. & Purcell, J. S., 2024, In: Communications in Analysis and Geometry. 32, 1, p. 119-151 33 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus)