After completing my PhD at the University of Warwick in 2001 under the supervision of Miles Reid, I was appointed as a Wylie Instructor at the University of Utah and later as a Simons Instructor at the University of Stony Brook. In 2006 I returned to the UK as a lecturer at the University of Glasgow, and I moved to the University of Bath in 2013.

E-mail: a dot craw at bath dot ac dot uk Office: Building 4W, room 3.49 Phone: +44 (0) 1225 385327 Address: Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.

Research: My research establishes links between algebraic geometry and representation theory using techniques from geometric invariant theory, toric geometry, quiver representations, noncommutative algebras and derived categories.

• Publications and preprints
  
• Postdocs and students
  

The Bath Geometry Seminar.

Teaching: In 2022/23 I teach MA10209 (Algebra 1A).

On chronic fatigue and proprioception dysfunction: In October 2014 I fell ill with ME/CFS, also known as chronic fatigue syndrome or post-viral fatigue. I learned a lot over the next fourteen months of frustration, experimentation, online research and recovery, and I recorded what I discovered here.

A bad relapse in June 2017 and my failure to recover despite implementing what I'd learned in 2014-15 put me in a wheelchair or in bed for the better part of a year. In April 2018 I was diagnosed and treated for Proprioception Dysfunction Syndrome (PDS) by Professor Orlando Alves da Silva. My rapid recovery is described in the following unpublished note (I'm Patient 1):

• Rapid recovery from all symptoms of severe ME/CFS by treating Proprioception Dysfunction Syndrome: a case study.