Simon Crawford

I am a senior Heilbronn fellow in the Department of Mathematics at the University of Manchester. My research interests lie in noncommutative ring theory, representation theory, and (noncommutative) algebraic geometry.

Previously I was a postdoc at the University of Waterloo, and before that I was a PhD student at the University of Edinburgh under the supervision of Dr. Sue Sierra. I've also been known to solve Rubik's cubes and run, both somewhat quickly (although rarely at the same time).

Contact Information

Address: Office 2.125, Alan Turing Building, The University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
Email: simon (dot) crawford (at) manchester (dot) ac (dot) uk

Papers/preprints

Actions of Taft algebras on noetherian down-up algebras, (joint with Jason Gaddis and Robert Won), arXiv preprint, submitted
Group coactions on two-dimensional Artin-Schelter regular algebras, Proceedings of the American Mathematical Society, 152(11) (2024), 4551-4567
Superpotentials and Quiver Algebras for Semisimple Hopf Actions, Algebras and Representation Theory 26(6) (2023), 2709-2752
Actions of small groups on two-dimensional Artin-Schelter regular algebras, Journal of Algebra, 560 (2020), 609-666
Azumaya skew group algebras and an application to quantum Kleinian singularities, arXiv preprint
Singularity categories of deformations of Kleinian singularities, Algebra & Number Theory, 14(2) (2020), 349-382
Singularities of noncommutative surfaces, PhD thesis

Teaching

In the 25/26 academic year I will be supervising third and fourth year projects. The projects I'm advertising are shown on Blackboard. Please get in touch if you are interested in any of them.