Professor Francis E A Johnson, BA, PhD

My main research interest has centred around the interaction of discrete groups, in the form of fundamental groups of finite complexes, and geometric objects of various sorts.  My work can be classified under the following headings; homotopy classification of low dimensional complexes; aspherical manifolds; group actions on Euclidean space; space form problems; surface fibrations and poly-Fuchsian groups; homotopy theory of Kähler manifolds; arithmetic groups; Lie algebras and supersymmetry; invariant theory.

My main current interest is the homotopy classification of two and three dimensional complexes.

Examples of recent papers include:

1. Rigidity of hyperstable complexes (Archiv der Mathematik 90 (2008) pp 123-132)
2. Finite subtransitive sets (Math Proc Camb Phil Soc 140 (2006) pp 37-46)
3. Incoherence of integral group rings (Journal of Algebra 286 (2005) 26-34)
4. The stable class of th augmentation ideal (K-Theory 34 (2004) pp 141-150)

This page was last modified on April 15, 2011 by Helen Higgins