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.
Teaching: In 2024/25, I teach 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.
I had a bad relapse after catching a virus in May 2017 that put me in a wheelchair or in bed for the better part of a year. In April 2018, I was finally diagnosed with a physiological condition called Proprioception Dysfunction Syndrome (PDS). I began treatment immediately, and my rapid recovery is described in the following unpublished note (I'm Patient 1):
This case study provides evidence that some ME/CFS patients actually have an illness that can be diagnosed and treated, allowing some severely ill ME/CFS patients to recover rapidly and regain their pre-disease quality of life. There is no suggestion that everyone with ME/CFS has PDS. However, those people who do can benefit from the treatment described in this case study. Appendix B of the case study provides some simple lifestyle adjustments that can take pressure off the proprioceptive system; replacing your mattress by a thin mattress topper on wooden boards is a sensible first step.