Duration: 4 years full time
Institution code: R72
UK fees*: £4,712
International/EU fees**: £19,700
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
- 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.
Research facilities and environment
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.
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.
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.
English language requirements
All teaching at Royal Holloway is in English. You will therefore need to have good enough written and spoken English to cope with your studies right from the start.
The scores we require
- IELTS: 6.5 overall. Writing 7.0. No other subscore lower than 5.5.
- Pearson Test of English: 61 overall. Writing 69. No other subscore lower than 51.
- Trinity College London Integrated Skills in English (ISE): ISE III.
- Cambridge English: Advanced (CAE) grade C.
- TOEFL ib: 88 overall, with Reading 18 Listening 17 Speaking 20 Writing 26.
For more information about country-specific entry requirements for your country please see here.
Your future career
Our PhD students have a high employability rate. Our Mathematics PhD students either continue on the academic route by taking up Post-Doctoral research positions at other institutions or move, for example, into the Financial Sector. Many of the skills acquired by Mathematics PhD students are in demand outside of Academia.
Fees & funding
Home (UK) students tuition fee per year*: £4,712
EU and international students tuition fee per year**: £19,700
Other essential costs***: There are no single associated costs greater than £50 per item on this course
* and ** These tuition fees apply to students enrolled on a full-time basis. Students studying on the standard part-time course structure over two years are charged 50% of the full-time applicable fee for each study year.
All postgraduate fees are subject to inflationary increases. Royal Holloway reserves the right to increase tuition fees annually for overseas fee-paying students. Please be aware that tuition fees can rise during your degree. The upper limit of any such rise will be made clear on the relevant coursefinder listing for your year of entry, at the earliest opportunity. For further information, please see our terms and conditions.
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 starting a degree in the academic year 2024/25.
*** These estimated costs relate to studying this particular degree at Royal Holloway during the 2024/25 academic year, and are included as a guide. Costs, such as accommodation, food, books and other learning materials and printing, have not been included.
Royal Holloway reserves the right to increase tuition fees annually for overseas fee-paying students. Please be aware that tuition fees can rise during your research degree. The upper limit of any such rise will be made clear on the relevant coursefinder listing for your year of entry, at the earliest opportunity.