Will Rushworth

I am a lecturer in the School of Mathematics, Statistics, and Physics at Newcastle University. I obtained my PhD from Durham University under the supervision of Andrew Lobb, and held positions at McMaster, Syracuse, and Hull before coming to Newcastle. My full CV is available here.

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

I also have a blog about text book covers.

UK TILDE 2025: together with Laura Wakelin I am organising a workshop for early career researchers in low-dimensional topology, to be held in April 2025. For more information please visit this page.

Papers

1. On knots that divide ribbon knotted surfaces with Hans U. Boden, Ceyhun Elmacioglu, Anshul Guha, Homayun Karimi, Yun-chi Tang, and Bryan Wang Peng Jun. Math. Proc. Cambridge Philos. Soc. 177, 3, 2024. Preprint available here.
2. Minimal crossing number implies minimal supporting genus with Hans U. Boden. Bull. Lond. Math. Soc. 53, 2021. Preprint available here.
3. On ribbon graphs and virtual links with Scott Baldridge and Louis Kauffman. European J. Combin. 103, 2022. Preprint available here.
4. Generalized Fishburn numbers and torus knots with Colin Bijaoui, Hans U. Boden, Beckham Myers, Robert Osburn, Aaron Tronsgard, and Shaoyang Zhou. J. Combin. Theory Ser. A 178, 2021. Preprint available here.
5. Ascent concordance, Algebr. Geom. Topol. 21, no. 6, 2021. Preprint available here.
6. A parity for 2-colourable links, Osaka J. Math. 58, no. 4, 2021. Preprint available here.
7. Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces with Vassily Manturov, J. Knot Theory Ramifications 27 (9), 2018. Preprint available here.
8. Computations of the slice genus of virtual knots, Topology Appl. 253, 2019. Preprint available here.
9. Doubled Khovanov homology, Canad. J. Math. 70 (5), 2018. Preprint available here.

Teaching

Some potentially useful links for students.

Current teaching

• Spring 2025: MAS3704-MAS8704 Coding Theory.
• Autumn 2024: PHY1030 Laboratory Physics I, MAS2806-PHY2039 Scientific Computation with Python.

Contact

Office: 2.15 Herschel (the main building, not the annex).

Email: william.rushworth@ncl.ac.uk.

Address:
School of Mathematics, Statistics and Physics
Herschel Building
Newcastle University
NE1 7RU
United Kingdom