I am a geometric topologist and a combinatorial group theorist. Much
work has dealt with the introduction of combinatorial and algebraic themes
into geometric problems or geometric themes into combinatorial and
algebraic problems. Over the years this work has involved the intermingling
of topological manifolds, combinatorial topology, the foundations of piecewise
linear topology, simple-homotopy theory, automorphisms of free groups,
spaces of length functions on groups and equations over groups. Currently
the second best description of me is as a geometric group theorist.
The title which I most covet is that of teacher. The writing of a research
paper and the teaching of freshman calculus, and everything in between,
falls under this rubric. Happy is the person who comes to understand
something and then gets to explain it.
In addition to research and teaching I deeply enjoy my role as faculty
See Ode to Geometric Group Theory , (ps, pdf).
The book has been used a number of times to teach Math 356 at Cornell University, the course for which the book is created.To see and possibly download the book