Algebra & Combinatorics - Research

The members of the Algebra & Combinatorics Group have a broad range of research interests. In algebra the core activity is in combinatorial group and semigroup theory, with a fairly broad interpretation of the term combinatorial. In combinatorics we have range of expertise, including permutation patterns, combinatorics on words, and combinatorial designs with application to information theory. In teractions with theoretical computer science are a common theme in all these branches.

Specific examples of topics within which we work are:

Historically, groups, semigroups, presentations and computational algebra formed the basis of the group's research. Our members have been particularly involved in the development of the GAP system for discrete algebra. We also have links to theoretical computing and analysis.

We have a large and lively graduate school. Our members are involved in the running of the Scottish Mathematical Sciences Training Centre (SMSTC). We have several externally funded research projects.