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
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ARC Centre of Excellence in Mathematics for Quantum Era Security and Trust
Joshi, N. (Primary Chief Investigator (PCI)), Smith-Miles, K. A. (Chief Investigator (CI)), Williamson, G. (Chief Investigator (CI)), Tucker, W. (Chief Investigator (CI)), Steinfeld, R. (Chief Investigator (CI)), Tillmann, S. (Chief Investigator (CI)), Milburn, G. (Partner Investigator (PI)), Small, M. (Chief Investigator (CI)), Tang, Q. (Chief Investigator (CI)), Burton, B. (Chief Investigator (CI)), Voight, J. (Chief Investigator (CI)), Lee, M. (Chief Investigator (CI)), Elder, M. (Chief Investigator (CI)), Roberts, L. (Chief Investigator (CI)), Qiao, Y. (Chief Investigator (CI)), Nguyen, K. (Chief Investigator (CI)), Hajek, B. (Chief Investigator (CI)), Canonne, C. (Chief Investigator (CI)), Simpson, L. (Chief Investigator (CI)), Albrecht, A. (Chief Investigator (CI)), Reilly, D. (Chief Investigator (CI)), Costello, C. (Chief Investigator (CI)), Galbraith, S. D. (Partner Investigator (PI)), Tomamichel, M. (Partner Investigator (PI)), Callinan, M. (Partner Investigator (PI)), Roney-Dougal, C. M. (Partner Investigator (PI)), Yung, M. (Partner Investigator (PI)), Gardam, G. (Partner Investigator (PI)), Russell, A. (Chief Investigator (CI)), Joswig, M. (Partner Investigator (PI)), Hobbs, C. (Partner Investigator (PI)), Vadhan, S. (Partner Investigator (PI)), Losa, G. (Partner Investigator (PI)), McConnell, N. (Partner Investigator (PI)), Morimae, T. (Partner Investigator (PI)), Baumhof, A. (Partner Investigator (PI)), Chuengsatiansup, C. (Partner Investigator (PI)), Vinet, L. (Partner Investigator (PI)), Saarinen, M.-J. (Partner Investigator (PI)), Batina, L. (Partner Investigator (PI)), Khomh, F. (Partner Investigator (PI)), Rossi, M. (Partner Investigator (PI)), Kajiwara, K. (Partner Investigator (PI)), Stebila, D. (Partner Investigator (PI)), Hook, D. (Partner Investigator (PI)), Liu, D. (Partner Investigator (PI)), Toro, T. (Partner Investigator (PI)), Kristjánsson, H. (Partner Investigator (PI)), Chau, S. (Partner Investigator (PI)), Purcell, J. (Associate Investigator (AI)) & Sakzad, A. (Associate Investigator (AI))
ARC - Australian Research Council
13/08/26 → 12/08/33
Project: Research
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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 Access2 Link opens in a new tab Citations (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
1 Link opens in a new tab Citation (Scopus) -
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
3 Link opens in a new tab Citations (Scopus)