My main research interests lie at the intersection of General (or Universal) Algebra and Group Theory. I am particularly interested in the interplay between ideas and tools from General Algebra and groups, and how the former may be used to solve problems in Group Theory.

My research so far reflects these interests. My thesis and early work dealt with amalgams of nilpotent groups, and made strong use of dominions, a construction introduced by Isbell in a General Algebra context. It also explored the notion of epimorphism in varieties of groups.

In my most recent work, I have used many of the ideas (in particular, the nilpotent product, a type of coproduct) to investigate the very down-to-Earth group theoretic problem of capability of groups.

I have a summary of my results so far.

I have several pages dealing with the background of my research. The more elaborate ones deal with Amalgams and dominions. I also have some pages on capability of groups.

Finally, a link to a list of relevant references.