People A-Z

Research Interests

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.

My papers are all available on the arXiv and my webpage.

Research Groups

• Probability & Stochastic Analysis

Current and Recent PhD Students

Abdul Mohamed (2021-), Hora Mirsajjadi (2022-)

Professional Activities

Editor of Proceedings of the Royal Society of Edinburgh, Section A.

Education Background

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.

Previous Employment

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).

Education

D.Phil University of Oxford (2016)

MSc Université Pierre-et-Marie-Curie (2012)

BSc (Hons) University of Auckland (2011)

Publications

• Personal webpage with publications