## PETER SCOTT

My research interests are in three areas which are closely
connected. They are

- Low dimensional geometric topology
- Differential geometry
- Geometric group theory

In area 1) my main interests are in 3-dimensional manifolds.
See [1] below for a long expository article on the subject. The
introduction should give some idea of the subject.

In area 2), I am interested in 3-dimensional hyperbolic
geometry and minimal surface theory. See [2] below for a short
paper which will give an introduction to some simple geometric
ideas in the context of curves on surfaces.

The basic philosophy in area 3) is that ideas about infinite
groups are significant if they arise from a geometrical context.
I am interested in Kleinian groups and the associated geometry,
topology and group theory. I am also interested in more abstract
ideas about infinite groups, in particular the theory of
negatively curved groups. Fundamental groups of closed surfaces
and free groups are among the basic examples of such groups.

[1] The geometries of 3-manifolds, Bull. London Math. Soc. 15
(1983), 401-487.

[2] Closed geodesics on surfaces, Bull. London Math. Soc. 14
(1982), 385-391 (with M.H. Freedman and J. Hass).