My research has centred around singularity theory and its application in mathematical robotics, where there is a wide range of problems involving interesting geometry. Relevant language and tools come from algebraic geometry, especially the theory of invariants and Gröbner bases, differential geometry and Lie groups. I have taught graduate courses in all these topics and they feature in my published research.

From 2001-04 and 2013-18, I was head of school. During those terms, I aimed to ensure students have the best possible education in the mathematical sciences, whether they enjoy the theoretical and abstract aspects or understanding how they can be used to solve problems in so many other fields. Both of these make mathematics and statistics students among the most sought after graduates in employment. I have worked with colleagues on the development of new programmes in actuarial science, applied statistics and data science, and developed close links with engineering and computer science as well as strong connections with schools and secondary teachers. The mathematical sciences have also maintained and grown a fine reputation as one of the university’s leading research centres, attracting funding both in New Zealand and internationally.