Doctor of Philosophy [Ph.D] [Mathematics] From Cardiff University

The School of Mathematics offers an exceptionally wide range of opportunities for postgraduate studies in mathematics. The academic staff are engaged in research projects in fields that are as varied as number theory, functional analysis and spectral theory in pure mathematics, image processing, operational research, statistics and quantum field theory.

Many research projects undertaken by members of staff in the School are being generously funded by the public and private sectors. The leader of the Operator Algebras and Non-Commutative Geometry group is the co-ordinator of the European Network on Non-Commutative Geometry funded by the EU TMR programme. Other sources of funding include EPSRC, Leverhulme Trust, NATO, INTAS, Ministry of Defence, Wellcome Trust, GlaxoSmithKline, Proctor and Gamble.

The programme aims to offer knowledge and expertise for a career in the academic world, or to pursue a variety of other opportunities in which a strong mathematical background is important. Past students are on the staff of universities in the UK and abroad, and senior statisticians and managers in industry and business.

• number theory
• functional analysis and spectral theory of ordinary and partial differential operators
• calculus of variations and partial differential equations
• numerical analysis
• theoretical and computational fluid dynamics
• operator algebras and non commutative geometry
• algebraic topology
• algebraic geometry
• combinatorics
• quantum field theory and statistical mechanics
• conformal field theory and vertex operator algebras
• image processing
• operational research
• time series analysis
• probability theory and statistics.