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

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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

## 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