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Dr William Rushworth

Lecturer

Faculty and Department

  • Faculty of Science and Engineering
  • School of Natural Sciences

Qualifications

  • PhD (Durham University)

Summary

I obtained my PhD from Durham University in 2018, and was a postdoctoral fellow at McMaster and Syracuse Universities before coming to Hull.

My mathematical interests are in low-dimensional topology, including link homology and concordance.

At Hull:

Spring 2023: Applied Complex Analysis.

Autumn 2022: Differential Geometry.

At previous institutions: a range of courses, including introductory linear algebra, calculus and differential equations, and point-set topology.

I have also supervised a number of undergraduate research projects.

Recent outputs

View more outputs

Journal Article

On ribbon graphs and virtual links

Baldridge, S., H. Kauffman, L., & Rushworth, W. (2022). On ribbon graphs and virtual links. European Journal of Combinatorics, 103, Article 103520. https://doi.org/10.1016/j.ejc.2022.103520

Ascent concordance

Rushworth, W. (2021). Ascent concordance. Algebraic and Geometric Topology, 21(6), 3073–3106. https://doi.org/10.2140/agt.2021.21.3073

A parity for 2-colourable links

Rushworth, W. (2021). A parity for 2-colourable links. Osaka Journal of Mathematics, 58(4), 767–801

Minimal crossing number implies minimal supporting genus

Boden, H., & Rushworth, W. (2021). Minimal crossing number implies minimal supporting genus. Bulletin of the London Mathematical Society, 53(4), 1174-1184. https://doi.org/10.1112/blms.12491

Computations of the slice genus of virtual knots

Rushworth, W. (2019). Computations of the slice genus of virtual knots. Topology and its Applications, 253, 57-84. https://doi.org/10.1016/j.topol.2018.11.028

Research interests

Low-dimensional topology

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