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Cluster algebras and representation theory


   Faculty of Engineering and Physical Sciences

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  Prof Bethany Marsh  Applications accepted all year round  Self-Funded PhD Students Only

About the Project

Cluster algebras are combinatorially defined commutative algebras defined by S. Fomin and A. Zelevinsky in 2001. A cluster algebra is defined as a subring of a field of rational functions (quotients of polynomials), generated by overlapping sets of generators, or clusters, which are created from an initial cluster via a mutation process. 

Cluster algebras have been the subject of intense study since their inception, and the aim of the PhD project is to generalise this cluster combinatorics and to find and develop corresponding representation-theoretic models.


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