Maths PhD student

Duration: 1 year full-time or 2 years part-time
Start date: October 2017
LocationSouth Kensington
ECTS: 90 credits

This course is now open to applications for 2017 entry.

This course provides outstanding training in different aspects of Pure Mathematics, equipping you with a range of mathematical skills in problem-solving, project work and presentation.

About the course


This course is offered full-time over one year and part-time over two years.

The programme includes a wide range of lecture modules in analysis, geometry and topology, algebra, number theory and combinatorics, equipping students for a variety of roles in employment and research.

A written research project is also undertaken during the summer months.


Modules shown are for the current academic year, and are subject to change depending on your year of entry.

The programme is organised into two course elements. The first element consists of seven lectured modules, each examined by a written paper (three or four per year in the part-time option); the second element consists of a project, examined by a written report and an oral examination. The project must be the study of some mathematical topic in one of the core areas of:

  • Analysis
  • Algebra
  • Geometry
  • Number Theory and Combinatorics


Each module will normally last for one term. The following is a guide to the modules that will be available for study.

  • Fourier Analysis and Theory of Distributions
  • Measure and Integration
  • Analytic Methods in Partial Differential Equations
  • Stochastic Filtering
  • Probability Theory
  • Geometric Complex Analysis
  • Random Matrices
  • Functional Analysis
  • Geometry I: Algebraic Curves
  • Geometry II: Algebraic Topology
  • Algebraic Geometry
  • Geometry of Curves and Surfaces
  • Riemannian Geometry
  • Manifolds
  • Differential Topology
  • Introduction to Riemann Surfaces and Conformal Dynamics
Algebra and Discrete Mathematics
  • Galois Theory
  • Group Theory
  • Group Representation Theory
  • Algebraic Combinatorics
  • Representations of Symmetric Groups
  • Lie Algebras
  • Commutative Algebra
  • Infinite Groups
  • Algebra IV
  • Algebra 3
Number Theory
  • Number Theory
  • Algebraic Number Theory
  • Elliptic Curves
  • Modular Forms

Entry requirements

Minimum academic requirement

2.1 Honours degree in mathematics, applied mathematics or a related subject, such as engineering or physics.

International qualifications

The academic requirement above is for applicants who hold or who are working towards a UK qualification. 

We also accept a wide variety of international qualifications. For guidance see our Country Index though please note that the standards listed here are the minimum for entry to the College.

If you have any questions about admissions and the standard required for the qualification you hold or are currently studying then please contact the relevant admissions team.

Additional Information

There is no GMAT or GRE requirement.

We cannot comment on the eligibility of applicants without seeing a full application form along with references and transcripts.

Successful applicants must be able to meet all conditions of their offer, including the English language requirement below, before the course begins.

English language requirements

All candidates must demonstrate a minimum level of English language proficiency for admission to the College.

For admission to this course, you must achieve the standard College requirement in the appropriate English language qualification. For details of the minimum grades required to achieve this requirement, please see the English language requirements for postgraduate applicants.

Fees and funding

Home and EU students

2017 entry:
  • £9,250 full-time
  • £4,625* per year part-time

Islands and overseas students

2017 entry:
  • £24,500 full-time
  • £12,250* per year part-time

* Please note that the tuition fee amount you will pay may increase each year.

Government funding

The level of tuition fees you pay is based on your fee status, which we assess based on UK government legislation.

If you are a Home or EU student who meets certain criteria, you can apply for a Postgraduate Master’s Loan of up to £10,000 from the UK government for programmes beginning in October 2016. The loan is not means-tested, and you can choose whether to put it towards your tuition fees or living costs. 

Funding from Imperial


We offer a range of scholarships for postgraduate students to support you through your studies. Try our scholarships search tool to see what you might be eligible for.

For more information on the Postgraduate Master's Loan scheme and other funding opportunities that are available, please visit our Fees and Funding website.

How to apply

All applicants must apply online.

For full details on the online application process, or to start your application, please visit the How to Apply section of our website.

You can usually apply for up to two courses, although your second choice will only be considered if your first-choice application is unsuccessful.

Most of our postgraduate courses don't have a formal closing date, but popular courses close when they are full. We therefore recommend applying early to avoid disappointment, especially students who will also be applying for funding or applying for a visa.

You will need to upload documents with your applications, which may include transcripts and degree certificates.

Offer holders will need to pay a deposit to secure your place. This will be deducted from the balance of your tuition fees.

ATAS Certificate
An ATAS certificate is not required for overseas students applying for this course.

Further information

Find out more about the MSc in Pure Mathematics, including more detailed course content.