Bjorn Birnir is interested in infinite-dimensional dynamical systems and their applications to partial differential equations.

Hector Ceniceros is interested in the design, analysis, and application of highly accurate and dynamically adaptive numerical methods for a large class of nonlinear problems such as water waves, two-phase flows, flows in porous media, and nonlinear optics. A common denominator in these problems is the investigation of how small scale phenomena (such as surface tension or short-wave dispersion) can affect macroscopic behavior (multi-scale phenomena).

Carlos Garcia-Cervera is interested in problems arising in Material Science and Condensed Matter Physics, and in particular, the dynamic and static properties of complex systems. His research interests are diverse, and include fields such as Ferromagnetism, Superconductivity, Liquid Crystals, and Polymeric Fluids. His approach to these problems is flexible in the techniques employed, which include modelling, asymptotic analysis, and numerical simulation.

Paul Atzberger is interested in problems arising in Soft Matter Physics and Biology. A particular aspect is the role of stochastic effects. Specific application areas include the study of Membrane Bilayers, Complex Fluids, Molecular Motor Proteins, and Osmotic Phenomena. His research draws on techniques from stochastic analysis, asymptotics, and numerical analysis. An emphasis is also placed on scientific computing and the development of general numerical methods.