I teach pure mathematics at St Catherine’s and the Mathematical Institute.

About me

I studied mathematics at Cambridge as an undergraduate, a postgraduate and a research fellow. After a year at the University of California at Berkeley, I moved to Oxford in 1999 as a University Lecturer. I was promoted to Professor in 2006.

In 2003, I was awarded a Whitehead Prize by the London Mathematical Society. I held an EPSRC Advanced Research Fellow from 2004 to 2009. In 2006, I was awarded a Philip Leverhulme Prize. I received an Excellence in Teaching Award in the same year. In 2010, I was an invited speaker at the International Congress of Mathematicians, which is one of the highest honours in mathematics.


My research interests lie in topology, geometry and group theory. My work focuses on 3-dimensional spaces, which are currently a very active area of research internationally. These have links to many different branches of mathematics, including non-Euclidean geometry and geometric group theory.

Departmental webpage