Department of Mathematics
University of Leicester
Leicester, LE1 7RH
UK

phone: +44 (0) 116 252 3883
email: dn8 at mcs.le.ac.uk

 Research

Research Interests: Algebraic Topology and Homotopy Theory.

I am a member of the Transpennine Topology Triangle,  funded by a Scheme 3 London Mathematical Society grant to support homotopy theoretic collaboration between Leicester, Manchester and Sheffield.

My main research is mainly within Homotopy Theory, where I am working on homotopy theory of classifying spaces and a homotopy theoretic formulation of classical Lie group theory. In the last two years I also got very much interested in relations between Homotpy Theory and the combinatorics related to toric manifolds, Stanley-Reisner algebras and polytopes. There are various connections to homological algebra, invariant theory, Lie group theory, modular representation theory and modules and algebras over the Steenrod algebra. The following survey article, will serve as to give the flavor of my research concerning the homotopy theory of classifying spaces.

Classifying spaces of compact Lie groups and finite loop spaces, Handbook of Algebraic Topology, Editor: I.James, North Holland 1995, 1049-1094.
(dvi-file, ps-file, pdf-file)

For details of research papers see Research Articles

Teaching

During the year 2006/2007 I will teach in the first semester

MA1221 Pure Mathematics at Work <(module material)>

MA2102 Linear Algebra (module material)

and in the second semester

MA4101 Algebraic Topology

MA4702 Advanced Readings in Pure Mathematics

MA4504 Mathematics project (module material)

Administration

I am Head of School of Computer Science and Mathematics. I am also a member of the Departmental Management Committee and the Research Committee.