## Simon Crawford

Simon Crawford
I am a 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

Superpotentials and Quiver Algebras for Semisimple Hopf Actions, *arxiv preprint*

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 first half of Semester 2 in the 22/23 academic year, I will be teaching a minicourse for graduate students on homological algebra. Please contact me if you are interested in attending.
The course runs for five weeks and starts on 31st January. The current schedule is as follows:
- Tuesdays: 10:00 - 11:00 (one hour lecture)
- Wednesdays: 10:00 - 12:00 (one hour lecture, one hour problems class)

A webpage containing notes and exercises will appear here in due course.
In the 23/24 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.