Robert James Marsh is a mathematician working in the areas of cluster algebra

Cluster algebra

Cluster algebras are a class of commutative rings introduced by . A cluster algebra of rank n is an integral domain A, together with some subsets of size n called clusters whose union generates the algebra A and which satisfy various conditions....

s, representation theory

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...

 of finite dimensional algebras, homological algebra

Homological algebra

Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology and abstract algebra at the end of the 19th century, chiefly by Henri Poincaré and...

, tilting theory

Tilting theory

In algebra, tilting theory uses a tilting module T over an algebra A to construct tilting functors relating modules over A to modules over the tilted algebra EndA of endomorphisms of T....

, quantum group

Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra...

s, algebraic group

Algebraic group

In algebraic geometry, an algebraic group is a group that is an algebraic variety, such that the multiplication and inverse are given by regular functions on the variety...

s, Lie algebra

Lie algebra

In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" was introduced by Hermann Weyl in the...

s and Coxeter group

Coxeter group

In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry groups of regular polyhedra are an example...

s. Marsh currently works at the University of Leeds

University of Leeds

The University of Leeds is a British Redbrick university located in the city of Leeds, West Yorkshire, England...

 as a Professor of pure mathematics. He also holds the position of EPSRC Leadership Fellow. In addition to his duties at the University of Leeds, Marsh is also an editor of the Glasgow Mathematical Journal

Glasgow Mathematical Journal

The Glasgow Mathematical Journal is a mathematics journal that publishes original research papers in any branch of pure and applied mathematics...

.

Awards

In July 2009, Marsh was awarded the Whitehead Prize

Whitehead Prize

The Whitehead Prize is awarded yearly by the London Mathematical Society to a mathematician working in the United Kingdom who is at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C...

 by the London Mathematical Society

London Mathematical Society

-See also:* American Mathematical Society* Edinburgh Mathematical Society* European Mathematical Society* List of Mathematical Societies* Council for the Mathematical Sciences* BCS-FACS Specialist Group-External links:* * *...

for his work on representation theory, and especially for his research on cluster categories and cluster algebras.