Analysis, Differential Equations, and Computation

Research in the Analysis, Differential Equations and Computation group spans a range of activities that focus on the abstract structure of mathematics. A strong research focus is in Modern Analysis, including Harmonic Analysis and dynamical systems, as well as Lie symmetries and the solution of differential equations. The group also maintains expertise in computational weather modelling and climate forecasting. An additional and growing research area is in the theory that underlies efficient computing; this includes abstract algebra, Group Theory, automata and formal languages, which all lie at the heart of what computers can (and can't) do. These areas have applications ranging from climate prediction, data mining, information theory and theoretical Quantum Mechanics.