**About me**

I am a postdoctoral research fellow in pure mathematics at the University of Waterloo. I obtained my PhD from the University of Edinburgh in 2018 under the supervision of Dr. Susan J. Sierra. My thesis was on singularities of noncommutative surfaces. Prior to that, I studied at the University of Bath.

**Research interests**

I am interested in problems in noncommutative ring theory which are inspired by, or can be studied via, commutative algebraic geometry. Currently, I'm interested in noncommutative invariant theory and elliptic algebras.

**Publications and preprints**

Actions of Small Groups on Two-Dimensional Artin-Schelter Regular Algebras

Azumaya skew group algebras and an application to quantum Kleinian singularities

Singularity categories of deformations of Kleinian singularities *(accepted)*

**Teaching**

At the University of Waterloo, I have taught the following courses:

MATH 104 - Introductory Calculus for Arts and Social Science (Winter '19)

MATH 235 - Linear Algebra 2 (Fall '18)

At the University of Edinburgh, I was a tutor for the following courses: Calculus and its Applications, Engineering Mathematics, Fundamentals of Pure Mathematics, Group Theory, Number Theory.

**Contact**

Email: simon (dot) crawford (at) uwaterloo (dot) ca

Office: MC 6461

Department address: Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada, N2L 3G1