Dr Alison Parker
- Position: Associate Professor
- Areas of expertise: diagram algebras; Schur algebras; cohomology; representation theory; algebraic groups
- Email: A.E.Parker@leeds.ac.uk
- Phone: +44(0)113 343 5126
Responsibilities
- MSc in Mathematics and Computer Science Programme Manager
Research interests
The main area I am interested in is the modular representation theory of algebraic groups. This has connections with representation theory for the symmetric groups. In particular I am looking at homological properties of Schur algebras (S(n,r)) and quasi-hereditary algebras. I also study diagram algebras of which the Temperley-Lieb algebra and the Brauer algebra are important examples. The Temperley-Lieb algebra and its many variants form a very interesting area of representation theory partly because of its intuitive diagram representation but also as it has many important links to physics, and in particular to statistical mechanics.
<h4>Research projects</h4> <p>Some research projects I'm currently working on, or have worked on, will be listed below. Our list of all <a href="https://eps.leeds.ac.uk/dir/research-projects">research projects</a> allows you to view and search the full list of projects in the faculty.</p>Professional memberships
- London Mathematical Society
- Australian Matematical Society
Research groups and institutes
- Pure Mathematics