I study semigroups of hyperbolic isometries and their parameter spaces. More broadly I am interested in conformal dynamical systems and hyperbolic geometry.
Jacques, Matthew and Short, Ian (2019). Repeated compositions of Möbius transformations. Ergodic Theory and Dynamical Systems (Early Access).
Dynamics of hyperbolic isometries (with Ian Short)
Composition Sequences and Semigroups of Möbius Transformations