I study semigroups of hyperbolic isometries and their parameter spaces. More broadly I am interested in conformal dynamical systems and hyperbolic geometry.

Publications

Jacques, Matthew and Short, Ian (2019). Repeated compositions of Möbius transformations. Ergodic Theory and Dynamical Systems (Early Access).

arXiv preprints

Dynamics of hyperbolic isometries (with Ian Short)

PhD Thesis

Composition Sequences and Semigroups of Möbius Transformations