1Dec
Virtual and digitalCourse summary
Academic staff in the Department of Mathematics carry out pioneering research which is making an impressive impact on the world stage. In the most recent Research Excellence Framework (REF 2021) 96% of research output is rated world-leading and internationally excellent. The department has 20 staff performing research in a number of areas of pure, applied and applicable mathematics, probability and statistics, and information security. The main research interests in the department can be grouped into the following areas Algebra Discrete Mathematics and its Applications Number Theory Quantum Dynamics Statistics and Probability. From time to time, we make changes to our courses to improve the student and learning experience. If we make a significant change to your chosen course, we’ll let you know as soon as possible. PhD students have access to excellent computing facilities in the Department. In addition, staff members hold workshops and discussion meetings in a variety of areas on a regular basis. There are weekly seminars from national and international speakers. PhD researchers also benefit from Royal Holloway’s access to world-class research and library facilities in London and to advanced postgraduate courses in their research field shared with other University of London Colleges through the London Taught Course Centre.
Assessment method
Once the research has been successfully completed the student must write and submit a final report in the form of a PhD research thesis. This will be evaluated by at least two experts and the student will be invited to attend an oral examination where they must satisfactorily defend their thesis.
How to apply
International applicants
https://www.royalholloway.ac.uk/studying-here/international-students/find-your-country/
Entry requirements
The minimum entry requirement for an MPhil or an MPhil leading to a PhD degree is the equivalent of a UK Upper Second Class Honours degree in an appropriate subject, although in many cases a Masters (or MSci) level qualification will also be expected. Candidates must also be demonstrably proficient in English. Before applying we recommend securing a supervisor in order to apply for your research project. We advise getting in touch with the Director of Postgraduate Education making an informal enquiry for your chosen research degree to inquire whether there is any other additional material they require you to submit in your application.
Fees and funding
Tuition fees
| Channel Islands | £5006* | Year 1 |
| Republic of Ireland | £5006* | Year 1 |
| EU | £26400 | Year 1 |
| International | £26400 | Year 1 |
| England | £5006* | Year 1 |
| Northern Ireland | £5006* | Year 1 |
| Scotland | £5006* | Year 1 |
| Wales | £5006* | Year 1 |
*This is a provisional fee and subject to change.
Tuition fee status depends on a number of criteria and varies according to where in the UK you will study. For further guidance on the criteria for home or overseas tuition fees, please refer to the UKCISA website .
Additional fee information
Home (UK) students tuition fee per year*: £5,006
EU and International students tuition fee per year**: £26,400
* This figure is the fee for the academic year 2025/26 and is shown as a guide.Please note that for research courses, we adopt the minimum fee level recommended by the UK Research Councils for the Home tuition fee. Each year, the fee level is adjusted in line with inflation (currently, the measure used is the Treasury GDP deflator). Fees displayed here are therefore subject to change and are usually confirmed in the spring of the year of entry. For more information on the Research Council Indicative Fee please see the UKRI website.
** This figure is the fee for EU and international students enrolled on a full-time basis in the academic year 2026/27.
Royal Holloway reserves the right to increase fees for all students annually. For further information see fees and funding.
Provider information
Royal Holloway, University of London
Egham
TW20 0EX