Address: Fylde College,
University of Lancaster,
Lancaster, LA1 4YF
Office: 7B, Fylde College
Tel +44(0)1524 592156
My research interests are in the field of homotopy theory and algebraic topology. They branch out in many other fields of pure mathematics: homological and homotopical algebra, algebraic and differential geometry, and category theory, to name just a few. It is also related to, and draws motivation from, aspects of theoretical physics, specifically quantum field theory.
More specifically and narrowly, my recent research deals with homotopy theory of differential graded algebras and categories, derived categories and higher phenomena. It has applications in rational homotopy theory, theory of operads and operadic algebras, algebraic topology and pure algebra.
The following is a sample list of PhD projects which I am prepared to supervise. Prospective postgraduate students are recommended to have a look at the lectures on operads and TCFT's (below) to get some familiarity with basic ideas and notions.