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Pure Mathematics (PhD/MPhil)

UK

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1

What will I learn?

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

Overview

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

Which department am I in?

School of Mathematics

Study options

Full Time (3.5 years)

Tuition fees
For tuition fees for this course, please visit our website.

* on institution website

Start date

April 2025

Venue

Cardiff University

PO Box 921,

Cardiff,

CF10 3XQ, WALES, Wales

Full Time (3.5 years)

Tuition fees
For tuition fees for this course, please visit our website.

* on institution website

Start date

July 2025

Venue

Cardiff University

PO Box 921,

Cardiff,

CF10 3XQ, WALES, Wales

Entry requirements

For international students

For Entry requirements for this course, please visit our website.

*There may be different IELTS requirements depending on your chosen course.

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About Cardiff University

Cardiff University offers world-leading teaching, a vibrant campus life with diverse activities, excellent facilities, and global career prospects.

  • Ranked within top 24 research-intensive UK universities
  • 12th in the UK for graduate employability (THE, 2024)
  • 2nd most affordable UK university city (NatWest 2023)
  • More than 7,500 overseas students