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Pure Mathematics, Ph.D.

  • Application Deadline
  • 36 months
    Duration
University rank #101 (ARWU) Cardiff, United Kingdom
Pure Mathematics is a research area within which you can focus your studies as part of our suite of Mathematics research programmes (MPhil, PhD).
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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.
  • Academic life at Cardiff University is challenging, innovative and rewarding. Our students learn from leading researchers and teachers who are driven by creativity and curiosity.

Detailed Programme Facts

  • Programme intensity

    You can choose to do this programme part-time or full-time.

    Full-time
    • Full-time duration 36 months
    Part-time
    • Average part-time duration 60 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

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

English Language Requirements

  • Minimum required score:

    6.5

    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Get a free IELTS practice test
  • Minimum required score:

    90

    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120. Read more about TOEFL iBT ®.

    Schedule TOEFL®

General Requirements

  • Suitable for graduates in Mathematics (or a suitable related field). A 1st or upper 2nd class UK Honours degree, or equivalent is required.

Tuition Fee

Living costs for Cardiff

  • 628 - 1070 GBP/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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