Publications and preprints:

• Pruning fronts and the formation of horseshoes  Ergodic Theory Dynam. Systems 19 (1999) 4, 851-894.
• Pruning theory and Thurston's classification of surface homeomorphisms (joint with Toby Hall). J. Eur. Math. Soc. 3 (2001) 4, 287-333.
• Piecewise linear model for tree maps (joint with M. Baillif). Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11 (2001) 12, 3163-3169.
• The forcing relation for horseshoe braid types (joint with T. Hall). Experiment. Math. 11 (2002) 2, 271-288.
• How to prune a horseshoe (joint with T. Hall). Nonlinearity 15 (2002) 3, R19-R68.
• Extensions, quotients and generalized pseudo-Anosov maps. To appear in Graphs and Patterns in Mathematics and Theoretical Physics.
• Braid forcing and star-shaped train tracks (joint with T. Hall). To appear in Topology.
• Symbolic dynamics and topological models in dimensions 1 and 2 (joint with T. Hall). To appear in Topics in Dynamics and Ergodic Theory.
• Monotone quotients of surface diffeomorphisms (joint with M. Paternain). To appear in Math. Res. Lett.
• Conjugacies between horseshoe braids (joint with T. Hall). Nonlinearity 16 (2003) 4, 1329-1338.
• Unimodal generalized pseudo-Anosov maps (joint with T. Hall). Submitted.