I am happy to supervise across a range of themes broadly focussed on **nontrivial questions in dynamical systems**. The approaches can be both **algebraic** (for example involving the study of polynomial equations, or using exterior algebra); and **geometric** (for example involving partial orders and convex geometry).

I am also happy to supervise projects in **related areas of pure mathematics**.

• Some theorems which establish existence or nonexistence of limit cycles in the plane

• Graph theoretic approaches to the injectivity of functions

• Exterior algebra, compound matrices and their use in dynamical systems

• Know your limits: a study into the structure of limit sets in discrete-time dynamical systems

• Graphs and networks in biology

• Modelling chemical reaction networks

• On the maximal complexity of odd graphs

• A review of the Riemann and Lebesgue integrals and their inverse operation

• Asymptotic behaviour and bifurcation in biological models

• The beauty of chaos: a study in discrete and chaotic dynamical systems

• Networks, graphs and matrices