Current research interests stochastic models in mathematical population genetics. In particular interest in stochastic spatial models results in infinite dimensional stochastic systems(particle models or stochastic partial differential equations and measure-valued processes) and in very recent work what can be viewed as a spatial $\lambda$-Fleming-Viot process which models evolution in a spatial continuum.
Spatial population models with particular emphasis on local population regulation and its implications for long term survival of a population. Will also hopefully work on ancestral processes for populations subject to fluctuating selection.
Population genetic models of chronic parasites, some of which are measure-valued processes. Also a lot of work on potential applications of multiple merger coalescents in population genetics.
Modelling overlapping selective sweeps and limits to the rate of adaptation plus `skeletons' of multitype superprocesses.
Amandine Veber (registered at ENS with Le Gall, spends six months of each year in Oxford)
Currently working on super-processes with Poissonian obstacles with Le Gall and multiple merger coalescents and in particular their application to genetic models which incorporate extinction - recolonisation events with Alison Etheridge and Jay Taylor. She will also help with the analysis of the new spatial \lambda-Fleming Viot process
Habib Saadi Analysing the spatial \lambda-Fleming-Viot process which is a new way of modelling evolution in a spatial continuum.