Professor Robert Marsh
- Position: Professor
- Areas of expertise: cluster algebras; representations of algebras; triangulated categories; homological algebra; tilting theory; algebraic groups.
- Email: R.J.Marsh@leeds.ac.uk
- Phone: +44(0)113 343 5164
- Location: 8.08 Maths/Earth and Environment Building
- Website: Personal home page | Googlescholar | ORCID | White Rose
I was awarded a PhD under the supervision of Prof. Roger Carter from the University of Warwick in 1996. I was a postdoctoral research assistant at the University of Bielefeld from 1995-6 and then at the University of Glasgow from 1996-1998, before starting as a Lecturer at the University of Leicester in 1998. I moved to the University of Leeds in 2006 and was promoted to Professor in 2009. I was an EPSRC Leadership Fellow from 2008-2014.
- REF UoA Lead for Mathematics
- Algebra group coordinator
My research focuses on the representation theory of finite dimensional algebras, homological algebra and triangulated categories. A key aspect of this is the new representation theory arising from cluster algebras, which were introduced in order to model the canonical basis of a quantum group. In particular I am interested in the use of the combinatorial geometry of Riemann surfaces to model categories arising in representation theory.
There are combinatorial aspects to cluster algebras and some of my work is involved in investigating this and its relationship with representation theory. Recently I have been involved in work with Aslak Buan on tau-exceptional sequences, a generalisation of exceptional sequences that behaves well in the context of arbitrary finite dimensional algebras.
- PhD Mathematics (University of Warwick), 1996. Supervisor: Roger Carter.
- Postgraduate Certificate in Learning & Teaching in Higher Education (University of Leicester), 2001
- London Mathematical Society
- Edinburgh Mathematical Society
- American Mathematical Society
Research groups and institutes
- Pure Mathematics