Mathematics Department
Lie theory and Geometry Group
Photograph

Dr WJ Harvey

Department of Mathematics
King's College London
Strand, London WC2R 2LS
United Kingdom

Room 415, Strand Building
Tel: +44-(0)20-7848 2828 (direct)
Tel: +44-(0)20-7848 2217 (general office)
Fax: +44-(0)20-7848 2017
E-mail: bill.harvey@kcl.ac.uk
Dr WJ Harvey
Department of Mathematics - King's College London

Member of the KCL Lie Theory and Geometry group

Co-organiser of the London Geometry and Topology Seminar

Research Interests

My research is concerned with two main strands of mathematics, discrete group theory and complex analysis, focussing on the space of moduli for compact Riemann surfaces. In addition, there are several aspects of geometry and topology in low dimensions where these theories have great influence, notably in the study of hyperbolic 3-manifolds and Kleinian groups. Riemann surfaces also appear as intrinsic ingredients in much of complex dynamics and in theoretical physics, especially string theory.

List of Published Articles (from 1966 to 2006)

Recent Publications

  • Homomorphisms from mapping class groups   (with M. Korkmaz)   Bull. London Math. Soc. 37 (2005), 275-284.

  • Thompson's group as a Teichmuller mapping class group   (with E. de Faria & F.P. Gardiner)   in In the Tradition of Ahlfors & Bers III , Contemp. Math. 355 (2004), 165- 185.

  • Remarks on the curve complex: classification of surface homeomorphisms LMS L. Note Series 299 (2003), 165-179.

  • On families of algebraic curves with symmetry   (with G. Gonzalez-Diez)  in Complex Manifolds & Hyperbolic Geometry, Contemp. Math. 311 (2002), 261-276.

  • Universal Teichmuller Space   (with F. P. Gardiner)   Chapter 14 in Handbook of Complex Analysis (ed. R. Kuhnau), Elsevier Press, 2002.

  • Mating quadratic maps with Kleinian groups   (with S.R. Bullett)  AMS Electronic Res. Ann. 6 (2000), 21-30.

    • Current Preprints

  • Teichmuller spaces, triangle groups and Grothendieck dessins (to appear in Europ.Math. series, 2006).

  • Surface topology: Macbeath, Grothendieck and Thurston (in preparation)

    • HRI Lectures on the mapping class group   June 2005

    Undergraduate course material