||Peter Jørgensen's research interests|
The results of my research are in my publications, which are collected here.
The present page contains a brief description of what I do, and gives some links.
Description of my research
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.
Here are some links to people whose work interests me.
A few official links:
This page was last updated on 29 May 2013.