Geometrical Analysis:

I work in this general area. In particular, I am constantly moving between 1-5 below.

1. Teichmueller and Quasiconformal Deformation spaces Theory.
2. Real and Complex Hyperbolic Geometry.
3. Sub-Riemannian Geometry.
4. Moebius Geometry.
5. Quasiconformal mappings of the Heisenberg group.

See also the webpages of:

Zoltan Balogh, Universitt Bern, Bern, Switzerland.
Elisha Falbel, Universit Paris XI, Paris, France.
Bill Goldman, University of Maryland, College Park MD, USA.
Athanase Papadopoulos, Universit de Strasbourg, Strasbourg, France.
John R. Parker, Durham University, Durham, UK.

Viktor Schroeder, Universit
t Zurich, Zurich, Switzerland.