Alastair Craw

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

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.

My research is supported by a Research Project Grant (2021-25) from The Leverhulme Trust.

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 My rapid recovery is described in the following unpublished note (I'm Patient 1):

Orlando's work demonstrates that diagnosing and treating patients for Proprioception Dysfunction Syndrome may enable even patients who are severely ill with chronic fatigue to recover rapidly to regain their pre-disease quality of life. There is no suggestion this will work for everyone, but it's clear that more research is required to make use of this approach.