Pure Mathematics PhD

Cardiff University

The following specialisations are available within this research area: Ordinary and partial differential equations Functional analysis Analytical and computational spectral theory Quantum mechanics Number theory and its applications Mathematical physics Operator algebras and Noncommutative Geometry Algebraic geometry Algebraic topology K-theory Combinatorics Quantum field theory and statistical mechanics Conformal field theory and vertex operator algebras Three research networks have been coordinated from Cardiff: the EU-TMR Network on Non-Commutative Geometry the EPSRC Network on Algebraic Geometry, Boundary Conformal Field Theory and Non- Commutative Geometry the EPSRC Network on Spectral Theory (jointly with a group from the School of Computer Science).

School of Mathematics