Our probability research group has been renowned since the 1950s, having included major 20th century figures such as David Blackwell, David Freedman, and Michel Loeve. As well as its historic connection with statistics, in the 21st century probability has much extended its role as a key bridge between theoretical and applied mathematics.
Current faculty research interests include the theory of algorithms, phylogenetic trees, continuous and discrete statistical physics models, combinatorial mathematics, continuum limits of discrete random structures, and distributional properties of (mathematical) Brownian motion.
The majority of this research is collaborative with researchers from other areas of the mathematical sciences, across a broad theory - applied spectrum.
large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, …
I'm interested in Probability Theory and its applications in Theoretical Biology, including modelling, simulation and data-driven approaches.
My research primarily focuses on studying Interacting Particle Systems, Stochastic Duality, Coalescent Processes, Seed-…
fragmentation, statistics, mathematics, Brownian motion, distribution theory, path transformations, stochastic processes, local time, excursions, random trees, random partitions, processes of coalescence
algorithms, applied probability, statistics, random walks, Markov chains, computational applications of randomness, Markov chain Monte Carlo, statistical physics, combinatorial optimization