Research

I am interested in all sorts of mathematics, but I mostly write about topology: in particular, how to apply category theory to homotopy theory.

Preprints

Algebraic theories, span diagrams and commutative monoids in homotopy theory: The first half of my PhD thesis, plus a few neat extra results. Submitted to Journal of Topology.

Other

Algebraic theories and (∞,1)-categories: My PhD thesis at the University of Sheffield (2010).

Preprints in preparation

Feel free to contact me if you would like a working copy of these.

Rings and semirings in homotopy theory via algebraic theories
Cofibre sequences, Frobenius objects and duality
Abstract polytopes in homotopy theory