Research

My research interests fall into three broad areas:

although all three are linked. I've also worked on topics including coding theory, hypergraphs, matroids, enumeration, and combinatorial matrix theory.

Along with some student research assistants, I have developed www.distanceregular.org, an online catalogue of distance-regular graphs, with graphs available to be downloaded for use in computations.

A lot of my time in recent years has been devoted to the relationship between base sizes of permutation groups and the metric dimension of graphs. A survey article on this topic, with Peter Cameron, was published in the Bulletin of the London Mathematical Society in 2011. In particular, I've investigated the metric dimension of numerous families of distance-regular graphs.

In combinatorial design theory, my recent work has focused on packing and covering versions of so-called "generalized t-designs", which should keep me busy for a while.

Details of my publications are available here, or (if you have a subscription) MathSciNet. I also have a Google Scholar profile. Recent preprints are available on the arXiv.

 

Research funding

My research is funded by an NSERC Discovery Grant (2016–21), as well as a university start-up grant.

 

Students and Postdocs

In addition, a postdoctoral fellowship in algebraic graph theory is currently available.

 

Conferences attended

Travelling around the world (literally, on one occasion) to attend conferences and give talks is definitely one of the more enjoyable aspects of being a mathematician. A list of conferences I have attended (or may attend soon) is here.

 

Conferences organized

I am one of the organizers of the workshop Symmetry Breaking in Discrete Structures, taking place at the Casa Matemática Oaxaca, Oaxaca, Mexico, from 16–21 September 2018.

Previously, I was responsible for organizing, or co-organizing, the following conferences (or conference sessions):

 

Erdős number

My Erdős number is 2, via the route Bailey–Cameron–Erdős. (For a long time, this was not mentioned in the Erdős Number Project's data, as they thought I was someone else....)