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Personal profile

Research interests

I have several main themes of research. I am generally interested in the theory of Lévy processes and their insertion into a wide variety of (applied) probability models arising in: optimal stopping and stochastic control problems, queuing theory, (numerical) stochastic differential equations and financial and actuarial mathematics. More recently I have been interested in questions pertaining to the (potential) analysis of self-similar Markov processes. I also have broad and active interests in the theory of branching and coalescing structures. These include (spatial) growth properties of branching random walks, branching particle diffusions, superprocesses and continuous-state branching processes, fragmentation processes and stochastic coalescent models.

My interest in these all of these subfields of probability is largely, but not exclusively, motivated by elegant path decompositions. I am also drawn to anything that can be proved in a beautiful way using a martingale.

Educated at the Universities of Oxford and Sheffield, and having held previous academic positions at the London School of Economics, Edinburgh University, Utrecht University and at Heriot Watt University, I came to Bath in 2006. I am the co-founder and current director of of Prob-L@B: the Probability Laboratory at Bath.

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 10 - Reduced Inequalities


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