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Mathematics and Statistics

MPhil/PhD

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Key information

Key information for 2026-27

Start date:
October 2026 | January 2027 | April 2027
Study route:

  • Four years full-time, on campus

  • Seven years part-time, on campus

Status:
Fully approved
Location:
Birkbeck Campus, Central London
Awarding body:
University of London
Study options:
Full-time | Part-time | On campus

Key information for 2027-28

Start date:
October 2027 | January 2028 | April 2028
Study route:

  • Four years full-time, on campus

  • Seven years part-time, on campus

Status:
Fully approved
Location:
Birkbeck Campus, Central London
Awarding body:
University of London
Study options:
Full-time | Part-time | On campus

Course Overview

An MPhil/PhD is an advanced postgraduate research degree that requires original research and the submission of a substantial dissertation of 60,000 to 100,000 words. At Birkbeck, you are initially registered on an MPhil and you upgrade to a PhD after satisfactory progress in the first year or two. You need to find a suitable academic supervisor at Birkbeck, who can offer the requisite expertise to guide and support you through your research. Find out more about undertaking a research degree at Birkbeck.

Our MPhil/PhD degree in Mathematics and Statistics aims to train you to conduct research of a high academic standard and to make original contributions to the subject.

The programme involves coursework (where suitable) and research training, but its major component is the preparation of a substantial research thesis. The thesis should demonstrate a sound understanding of the main issues in the area and add to existing knowledge.

Research interests in mathematics and statistics include: mathematical finance, in particular the analysis of risk and numerical computation; mathematical physics and partial differential equations; approximation theory and numerical analysis; probability and stochastic processes, pure and applied; applied statistics and multivariate analysis; covariance modelling for repeated measures and longitudinal data; medical statistics; combinatorics, algebra and designs.

Attendance

Regular meetings with your supervisor(s).

More Highlights

Entry Requirements

The entry requirement for this MPhil/PhD Mathematics and Statistics is a first-class or upper second-class honours degree in a relevant subject. In many instances, an MSc will be preferable.

Applicants should submit a research proposal which is in line with the research interests of our academic staff.

  • What are the English language requirements?

    If English is not your first language or you have not previously studied in English, our usual requirement is the equivalent of an International English Language Testing System (IELTS Academic Test) score of 6.5, with not less than 6.0 in each of the sub-tests.

    If you don't meet the minimum English language requirements, please contact us or see our international study skills page for more details about how we can help.

    Visit the International section of our website to find out more about our English language entry requirements and relevant requirements by country.

  • What are the visa and funding requirements?

    If you are not from the UK and you do not already have residency here, you may need to apply for a visa.

    The visa you apply for varies according to the length of your course:

    • Courses of more than six months' duration: Student visa
    • Courses of less than six months' duration: Standard Visitor visa

    International students who require a Student visa should apply to study on our courses full-time as these qualify for Student visa sponsorship. If you are living in the UK on a Student visa, you will not be eligible to enrol to study part-time courses at Birkbeck (with the exception of some modules).

    As a Student visa student, you should also apply to study on campus only, as online and flexible options of study  (if they are available for your course) may affect the conditions of your visa.

    For full information, read our visa information for international students page.

    Please also visit the international section of our website to find out more about relevant visa and funding requirements by country.

    Please note students receiving US Federal Aid are only able to apply for in-person, on-campus programmes which will have no elements of online study.

School of Computing and Mathematical Sciences

A world-leading centre in algorithms, data science, artificial intelligence, and logical methods, and a centre of excellence in research.

Visit the school

Fees

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in October 2026

Academic year 2026-27

Part-time home students: £2,780 per year
Full-time home students: £5,238 per year
Part-time international students: £8,230 per year
Full-time international students: £16,285 per year

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in January 2027

Academic year 2026-27

Part-time home students: £2,780 per year
Full-time home students: £5,238 per year
Part-time international students: £8,230 per year
Full-time international students: £16,285 per year

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in April 2027

Academic year 2026-27

Part-time home students: £2,780 per year
Full-time home students: £5,238 per year
Part-time international students: £8,230 per year
Full-time international students: £16,285 per year

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in October 2027

Academic year 2027-28

To be confirmed

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in January 2028

Academic year 2027-28

To be confirmed

MPhil/PhD: Four years full-time or seven years part-time, on campus, starting in April 2028

Academic year 2027-28

To be confirmed

Students are charged a tuition fee in each year of their course. Tuition fees for students continuing on their course in following years may be subject to annual inflationary increases. For more information, please see the College Fees Policy.

Lifelong Learning Guarantee

If you’ve studied at Birkbeck before and successfully completed an award with us, take advantage of our Lifelong Learning Guarantee to gain a discount on the tuition fee of this course.

Fees and finance

PhD students resident in England can apply for government loans of over £30,000 to cover the cost of tuition fees, maintenance and other study-related costs.

Flexible finance: pay your fees in monthly instalments at no extra cost. Enrol early to spread your costs and reduce your monthly payments.

We offer a range of studentships and funding options to support your research.

Discover the financial support available to you to help with your studies at Birkbeck.

Do you offer international scholarships?

We provide a range of scholarships for eligible international students, including our Global Future Scholarship. Discover if you are eligible for a scholarship.

Birkbeck's campus is located in the historic and vibrant Bloomsbury area of central London - named one of the best places to live in London 2025 by The Times.

Our Research Culture

As a research student in mathematics and statistics, you will have access to a wide range of study resources, including the University of London seminar programme in probability and statistics, excellent library facilities close by in Bloomsbury, and the taught courses and project component of our MSc Applied Statistics programmes.

To ensure that we have an appropriate supervisor for your area of research, you should contact the course team to discuss it before submitting your application.

Recent research topics include:

  • Non-associative algebras and normal ideals
  • Canonical auto and cross correlations of multivariate time series
  • Dimension and measure defined by infinite Bernoulli convolutions
  • Some Markov decision models for pest control
  • Aspects of estimation in linear and non-linear time series models
  • Inventory renewal time series and their ARMA equivalents
  • Some statistical aspects of the estimation of fire losses
  • The use of tensor algebras in population genetics.

Extensive computing facilities include PCs and UNIX platforms and generic courses and workshops are offered by the College.

Read more about our vibrant research culture.

Finding a Supervisor

A critical factor when applying for postgraduate study in mathematics and statistics is the correlation between the applicant’s intellectual and research interests and those of one or more potential supervisors.

Find out more about the research interests of our academic staff:

  • Brad Baxter, BA, PhD: approximation theory; numerical analysis; mathematical finance; theory and algorithms of radial basis functions.
  • Anthony Brooms, BSc, MSc, PhD: stochastic processes; stochastic order results; stochastic games, with applications to models of service systems; optimisation and control.
  • Swati Chandna, BSc, MSc, PhD: statistical analysis of network data; time series in the frequency domain; speech signal processing; boot-strap methods for time series; saptio-temporal analysis.
  • Simon Hubbert, PhD: approximation theory, optimisation and mathematical finance.
  • Professor Maura Paterson, BSc, PhD: information security; combinatorics.
  • Ilaria Peri, PhD: mathematical finance; quantitative finance; risk and performance measures; financial risk; backtesting.
  • Richard Pymar, MA, MMath, PhD: probability theory, particularly interacting particle systems, mixing times, random walks (in random environment).

How to Apply

Follow these steps to apply to an MPhil/PhD research degree at Birkbeck:

  1. Check that you meet the entry requirements, including English language requirements, as described on this page.
  2. Find a potential supervisor for your MPhil/PhD research. Check the ‘Find a Supervisor’ area on this page or search our staff directory.
  3. Contact the academic member of staff - or the school they teach in - for an informal discussion about your research interests and to establish  if they are willing and able to supervise your research. (Please note: finding a potential supervisor does not guarantee admission to the research degree, as this decision is made using your whole application.) Find out more about the supervisory relationship and how your supervisor will support your research.
  4. Draft a research proposal. This needs to demonstrate your knowledge of the field, the specific research questions you wish to pursue, and how your ideas will lead to the creation of new knowledge and understanding.
  5. Apply directly to Birkbeck, using the 'Apply Now' link on this page. All research students are initially registered on an MPhil and then upgrade to a PhD after making sufficient progress.

Find out more about the application process, writing a research proposal and the timeframe.

What are the application deadlines?

You will need to submit a research proposal with your application.

You can apply at any time during the year. Entry months for the programme are October, January and April of each year.

If you wish to apply for funding, you will need to apply by certain deadlines. Consult the websites of relevant bodies for details.

Related courses

Study routes for Mathematics and Statistics (MPhil/PhD)

Please select a study route below to continue your application.

Please note that international students who require a Student visa to study in the UK can only apply for full-time, on campus routes.

Starting in October 2026

Full-time

Part-time

Starting in January 2027

Full-time

Part-time

Starting in April 2027

Full-time

Part-time

Starting in October 2027

Full-time

Part-time

Starting in January 2028

Full-time

Part-time

Starting in April 2028

Full-time

Part-time