I am Professor and Personal Chair of Noncommutative Algebra in the School of Mathematics at the University of Edinburgh, where I am a member of the Hodge Institute and the algebra group.
My research is on noncommutative ring theory, algebraic geometry, and their interactions. In recent years I have focussed on the ring theory of enveloping algebras of infinite-dimensional Lie algebras. For more information about me, see:
James Timmins and I are organising a meeting on Ring-Theoretic Aspects of Lie Theory in Edinburgh on 14-15 July, 2025.
I am convenor of the editorial board of Proceedings of the Edinburgh Mathematical Society. Instructions for contributors.
Some general advice for maths Ph.D. students.
Slides for the October 2014 meeting for Edinburgh University students: "Women Maths Students: Is There a Ph.D. in Your Future?"
A page of links relating to the quaternions.