After completing my PhD at the University of Warwick in 2001, 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 took up my current post at 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 in Mathematics: 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
  

Teaching: In 2019/20 I teach Algebraic Curves and Introduction to Topology.

On ME/CFS and Proprioception Dysfunction Syndrome I fell ill with ME/CFS (chronic fatigue syndrome) in October 2014 and suffered on and off for two and a half years. A bad relapse in June 2017 put me in a wheelchair or in bed for the better part of a year and by April 2018 the situation was desperate. I was then diagnosed and treated for Proprioception Dysfunction Syndrome (PDS) by Professor Orlando Alves da Silva. My rapid recovery is described in the following paper:

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

If someone with ME/CFS has a stiff or painful upper back or neck and if their posture when standing is asymmetric, this approach provides an inexpensive, pain-free and non-invasive approach that may resolve all symptoms of ME/CFS. As a first step, if anyone with ME/CFS spends time lying down on a soft mattress or sofa, they should consider replacing their mattress by a thin mattress topper on wooden boards (see Appendix B, item (4) of the above paper).