Professor Bethany Rose Marsh

Profile

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.

Responsibilities

• Equality, Diversity and Inclusion Lead for the School of Mathematics
• Algebra group coordinator

Research interests

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. More recently I have been involved in collaborative work on tau-exceptional sequences, a generalisation of exceptional sequences that behaves well in the context of arbitrary finite dimensional algebras.

• Combinatorial Representation Theory: Algebra and its interfaces with geometry, topology and combinatorics

Qualifications

• PhD Mathematics (University of Warwick), 1996. Supervisor: Roger Carter.
• Postgraduate Certificate in Learning & Teaching in Higher Education (University of Leicester), 2001

Professional memberships

• American Mathematical Society
• London Mathematical Society

Research groups and institutes

• Pure Mathematics

Current postgraduate researchers

• Simon May
• Dixy Msapato
• Julia Hörmayer