Research

My research focuses on the geometry and topology of low-dimensional manifolds and their parameter spaces.

Specifically, I am very interested in:

• hyperbolic 3-manifolds and Kleinian groups
• Teichmüller spaces and moduli spaces
• geometry of groups and CAT(0) spaces

There are many good references for these topics, but the there is no comparable reference to William Thurston's original Princeton Lecture Notes, available at from MSRI's web server.

For more detail, see my CV, and also my Brown University Research page.