I study semigroups of hyperbolic isometries and their parameter spaces. More broadly I am interested in discrete conformal dynamics and hyperbolic geometry.
I am an Associate Lecturer (AL) on M208 (Level 2 Pure Mathematics) and on the MSc modules M823, M829 and M820 (Analytic Number Theory I, Analytic Number Theory II, and Calculus of Variations, respectively). In the past I have worked on M835 (Fractal Geometry) and chaired the now retired MSc module M828 (Applied Complex Variables).
Semigroups of isometries of the hyperbolic plane (2021)
Jacques, Matthew and Short, Ian
International Mathematics Research Notices, Article rnaa291 ((Early Access))