I was awarded my PhD at the University of Queensland in 2010. I completed my doctorate under the excellent supervision of Associate Professor Diane Donovan and Dr James Lefevre.

I am now working at the School of Mathematics at the University of Bristol.

My research intersts

My research interests lie in the field of combinatorics, in particular graph theory, combinatorial design theory and related algebraic structures.

At the moment I'm investigating biembeddings of designs such as Steiner triple systems, two-fold triple systems, transversal designs (latin squares) and Hamiltonian decompositions. The study of biembeddings of Steiner triple systems first arose from studying triangular embeddings of graphs. These arise in the context of the Heawood map colouring conjecture. Early general results on biembeddings in Steiner triple systems were given by Ringel in 1974. The study of biembeddings of latin squares was first investigated in 1976 by Stahl and White.

When it comes to graph theory I mainly spend time looking at graph decomposition problems, whether they be existence problems or completing partial designs. Alongside Professor Darryn Bryant (UQ) I maintain a website on existence results. If you want to see it, there is a link in the menu on the right.

I'm also interested in studying the properties of trades (and hence intersections) between pairs of triple systems. In particular I'm interested in using trades to study the properties of defining sets in latin squares.