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.
Papers
All comments very welcome.
- 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.
- Minimal crossing number implies minimal supporting genus with Hans U. Boden. Bull. Lond. Math. Soc. 53, 2021. Preprint available here.
- On ribbon graphs and virtual links with Scott Baldridge and Louis Kauffman. European J. Combin. 103, 2022. Preprint available here.
- 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.
- Ascent concordance, Algebr. Geom. Topol. 21, no. 6, 2021. Preprint available here.
- A parity for 2-colourable links, Osaka J. Math. 58, no. 4, 2021. Preprint available here.
- 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.
- Computations of the slice genus of virtual knots, Topology Appl. 253, 2019. Preprint available here.
- Doubled Khovanov homology, Canad. J. Math. 70 (5), 2018. Preprint available here.
Teaching
Some potentially useful links for students.
Current teaching
All information available through Canvas.
Past teaching
At Newcastle University
- Spring 2024: PHY1029 Multivariate Calculus and Differential Equations.
- Autumn 2023: PHY1030 Laboratory Physics I.
At the University of Hull
- Spring 2023: Applied Complex Analysis.
- Autumn 2022: Differential Geometry.
At Syracuse University
- Spring 2022: MAT331 Linear Algebra I.
- Fall 2021: MAT296 Calculus II.
At McMaster University
- Winter 2021: 3T03 Inquiry in Topology.
- Fall 2020: 1B03 Linear Algebra I.
- Winter 2020: 3T03 Inquiry in Topology
- Winter 2020: 1ZC3 Engineering Mathematics II
- Winter 2019: 1B03 Linear Algebra 1/ 1ZC3 Engineering Mathematics II.
- Fall 2018: 2Z03 Engineering Mathematics III.
