# Research

### Research Interests

Most of my research is in mathematics. Typically I am interested in things that involve at least two of the following broad areas: combinatorics, algebra, topology. Here are some specific topics that I like to work on:

Rigidity theory. For example the geometric and combinatorial rigidity theory of bar and joint frameworks. Here is a relevant Wikipedia entry: Structural Rigidity.

Topological graph theory. I have recently been interested in characterisations of graphs embedded in surfaces that satisfy certain sparsity conditions.

Commutative Algebra. In the past I have worked on multilinear algebra over local rings and currently I am getting more interested in combinatorial commutative algebra.

If you want more detail on what I am currently working on, have a look at some of my recent publications.

Contact me if you are interested in working together.

### Supervising students and postdocs

I have supervised 4 PhD students and 1 research Masters and I would like to have more research students. If you are interested in pursuing an MSc or PhD in one of the topics above (or something closely related) then I would be happy to hear from you. Send me a CV and a brief email about why you want to work with me,

If you already have, or have nearly, completed a PhD in a relavant area of mathematics and are interested in pursuing a postdoc with me then contact me and we can work on a funding application.