I am a member of the Lancaster Nanoscale Dynamics and Mathematical Physics group. I am primarily interested in theoretical investigation of cooperative behaviour of quantum many- body systems. On the fundamental side I have been working on developing mathematical tools that facilitate understanding of quantum non-linear phenomena, especially those that are not captured by perturbation theory. On the applications side I have been looking into manifestations of many-body effects in various experimental systems including cold atomic gases, semiconductor nanostructures and recently discovered graphene.