# Dr Jim Belk

**Lecturer in Pure Mathematics**(Mathematics)

**telephone**:
01413304767

**email**:
James.Belk@glasgow.ac.uk

## Research interests

My research interests include geometric group theory, dynamical systems, and fractal geometry. Within group theory, I am especially interested in discrete groups of homeomorphisms such as Thompson's groups and self-similar groups, and associated questions about computability, finiteness properties, and embeddings. Within dynamical systems my main interest is complex dynamics, including Thurston equivalence of branched covers, connections to mapping class groups and Teichmüller theory, and the topology and quasiconformal geometry of Julia sets. I am also interested in dynamics of homeomorphisms more broadly, including symbolic dynamics, as well as homeomorphism groups of fractals.