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
-
-
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 → 31/07/20
Project: Research
-
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
4 Citations (Scopus) -
Hyperbolic Knot Theory
Purcell, J., 2020, Providence Rhode Island USA: American Mathematical Society. 369 p. (Graduate Studies in Mathematics; vol. 209)Research output: Book/Report › Book › Research › peer-review
-
State graphs and fibered state surfaces
Girão, D. & Purcell, J. S., 1 Jan 2020, In: Algebraic and Geometric Topology. 20, 2, p. 987-1014 28 p.Research output: Contribution to journal › Article › Research › peer-review
-
A Survey of Hyperbolic Knot Theory
Futer, D., Kalfagianni, E. & Purcell, J. S., 1 Jan 2019, Knots, Low-Dimensional Topology and Applications - Knots in Hellas, International Olympic Academy, 2016. Adams, C. C., Gordon, C. M., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K. C., Przytycki, J. H., Ricca, R. & Sazdanovic, R. (eds.). Cham Switzerland: Springer, Vol. 284. p. 1-30 30 p. (Springer Proceedings in Mathematics and Statistics; vol. 284).Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review
2 Citations (Scopus) -
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
1 Citation (Scopus)