The present page contains a brief description of what I do, and gives
some links.

My research interests are homological algebra and some of its areas of
application, including algebraic topology, combinatorics, cluster
theory, and representation theory. These are all related to the part
of mathematics called algebra.

A modern viewpoint is that homological algebra reveals similarities
between otherwise distinct areas of mathematics. For instance, it is
possible to find the homological structures known as triangulated
categories in both analysis, algebra, and topology. Such similarities
often make it possible to borrow ideas from one area into another.

Most of my research in the last few years is related to cluster theory
which is a fascinating nexus between several areas of mathematics.
Clusters have revealed a number of deep combinatorial structures in
representation theory, not least by virtue of the cluster category
introduced by Buan, Marsh, Reineke, Reiten, and Todorov.

Links