Mathematics and Statistics
MPhil/PhD
Application options include:
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.
Key information
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Mathematics and Statistics MPhil/PhD: 7 years part-time, on campus, starting 2024-25
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Mathematics and Statistics MPhil/PhD: 4 years full-time, on campus, starting 2024-25
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Mathematics and Statistics MPhil/PhD: 7 years part-time, on campus, starting 2025-26
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Mathematics and Statistics MPhil/PhD: 4 years full-time, on campus, starting 2025-26
Find another course:
Highlights
- Birkbeck is one of the world’s leading research-intensive institutions. Our cutting-edge scholarship informs public policy, achieves scientific advances, supports the economy, promotes culture and the arts, and makes a positive difference to society.
- Birkbeck’s research excellence was confirmed in the most recent Research Excellence Framework with 83% of our research rated world-leading or internationally excellent.
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Entry Requirements
First- 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.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 IELTS requirement, we offer pre-sessional English courses, foundation programmes and language support services to help you improve your English language skills and get your place at Birkbeck.
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 for our full-time courses 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 as a student on Birkbeck's part-time courses (with the exception of some modules).
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.
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Fees
Mathematics and Statistics MPhil/PhD: 7 years part-time or 4 years full-time, on campus, starting in academic year 2024-25 or 2025-26
Academic year 2024–25, starting October 2024, January 2025, April 2025
Part-time home students: £2,539 per year
Full-time home students: £4,786 per year
Part-time international students: £7,525 per year
Full-time international students: £14,885 per yearAcademic year 2025–26, starting October 2025, January 2026, April 2026
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.
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 £26,000 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.
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.
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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.
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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. You can look at the Find a Supervisor area on this page for an overview, or search our Experts’ Database or browse our staff pages for more in-depth information. You may also find it helpful to view the research projects of our current students.
3. Contact the academic member of staff - or the department 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. Find out more about writing a research proposal.
5. Apply directly to Birkbeck, using the online application 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.
Application deadlines and interviews
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.
Apply for your course
Apply for your course using the apply now button in the key information section.
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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 Steven Noble, MSc, DPhil: combinatorics, particularly graph polynomials.
- 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).