Alastair Craw

I am a Reader in the Department of Mathematical Sciences at the University of Bath.

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.

The Bath Geometry Seminar. I also sometimes follow the COW and the GLEN (formerly the EGA)


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:

Orlando's work demonstrates that diagnosing and treating patients for Proprioception Dysfunction Syndrome may enable even severely ill patients with ME/CFS to recover rapidly to regain their pre-disease quality of life.

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).