Research interests include the advanced and comprehensive modelling of liquid crystal structures for displays, photonic and microwave applications. This includes modelling the switching behaviour of liquid crystals, the hydrodynamics of liquid crystals, the optical modelling of liquid crystal cells and the modelling of wave propagation through waveguiding structures containing liquid crystal materials. Our current computer models are based on a Q-tensor representation of the liquid crystal orientation, including order variation and biaxiality, weak surface anchoring, flexoelectric effects and flow and permit the study of the dynamic behaviour of realistic 3D structures. Applications include the analysis and design of LC on Silicon (LCOS) cells, for displays and communications, the dynamic study of bistable displays, and other devices where the dynamic behaviour of defects play an important role. The current interest is in extending these modelling capabilities further to dimensions where the current continuum theory is not adequate and to include the modelling of nanostructures in liquid crystal cells, as surface features or as suspended, moving nanoparticles in colloidal mixtures. Other interests include the development of computational modelling methods for optical and microwave waveguide devices and other areas of electromagnetics and numerical methods. For more details, see: http://www.ee.ucl.ac.uk/~afernand/