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Mathematics (PhD/MPhil)

UK

2

What will I learn?

The School of Mathematics offers an exceptionally wide range of opportunities for postgraduate studies in mathematics.

Overview

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.

Available research areas

  • 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.

Distinctive features

  • Lively research environment, extensive seminar programme.
  • Conference and workshop support, including annual Welsh Mathematics Colloquium.
  • Optional participation in undergraduate teaching, including HEA accreditation.
  • Colloquia are held regularly and each research group has a weekly research seminar.
  • The School hosts and participates in frequent workshops organised by WIMSC research clusters, with which the research groups are associated.
  • The many collaborative projects with groups in other institutions in the UK and abroad, bring a steady stream of distinguished visitors to the School.

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

July 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

April 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