Reseach Groups within the School of Mathematics are as follows:
Cardiff has one of the largest research groups in spectral theory of differential operators in the world. Our work on spectral theory informs and uses the results of vigorous activity in closely related areas such as function spaces, integral operators and geometry.
The major interest in the group is in theoretical and computational fluid mechanics. However, members of the group also undertake research in numerical analysis, the electrical discharge in gases, inverse problems and applied analysis.
Our interests sweep a broad range of topics, from Algebra, Geometry, Topology including Operator Algebras, and Non-commutative Geometry in Pure Mathematics to Algebraic and Conformal Quantum Field Theory and Integrable Statistical Mechanics in Mathematical Physics.
Current research in analytic number theory can be grouped under various themes. As usual in number theory, the themes interact with one another and with other areas of mathematics.
The group is very active in applied research, postgraduate supervision, and consultancy/contract work, but has also made significant contributions to theoretical aspects of the subject area.
The group is very active both in applications of statistical techniques and in theory.