Probability theory
As might be expected from its size, the department has a wide range of research interests, including the traditionally pure areas of algebra, analysis, noncommutative geometry, ergodic theory, mathematical logic, number theory, geometry and topology; and the more applied dynamical system, fluid dynamics, solid mechanics, inverse problems, mathematical finance, wave propagation and scattering. The department also has a strong tradition in numerical analysis and well established groups in Probability theory, and Mathematical statistics.