My research focuses on stochastic analysis and its interaction with mathematical physics, dynamical systems, and data science. I am particularly interested in:
Singular stochastic PDEs, regularity structures and rough path theory.
Constructive quantum field theory.
Homogenisation of fast-slow systems.
Path signatures and related methods in machine learning.
Current and Recent PhD Students
Abdul Mohamed (2021-), Hora Mirsajjadi (2022-)
Editor of Proceedings of the Royal Society of Edinburgh, Section A.
I completed my D.Phil in 2016 with the stochastic analysis group at the University of Oxford under the supervision of Terry Lyons. I obtained a MSc in probability at UPMC (Paris VI) and a BSc (Hons) at the University of Auckland.
Before joining the University of Edinburgh, I was a Junior Research Fellow at St John’s College, Oxford (2016-2020) and a postdoc at TU Berlin (2016).
D.Phil University of Oxford (2016)
MSc Université Pierre-et-Marie-Curie (2012)
BSc (Hons) University of Auckland (2011)