Pure Mathematics

Entry requirements

Suitable for graduates in Mathematics (or a suitable related field). A first or upper second class UK Honours degree, or equivalent is required.

Months of entry

January, April, July, October

Course content

Pure Mathematics is a research area within which you can focus your studies as part of our suite of Mathematics research programmes (MPhil, PhD).

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).

Information for international students

We bring the brightest minds from all parts of the world to collaborate on tough problems, learn from each other and advance our knowledge across a range of inspiring subjects. For more information please visit https://www.cardiff.ac.uk/study/international

Fees and funding

Information about funding can be found at https://www.cardiff.ac.uk/study/postgraduate/research/programmes/area/pure-mathematics