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

Royal Holloway University of London offers the PhD of Mathematics PhD as a full-time degree delivered on campus at its Egham campus in London, United Kingdom. Taught in English and completed over 3 years, the program equips students with the theoretical knowledge and practical skills required for mathematics phd and related professional fields. Tuition fees are USD 34,856 / year, and the next available intake begins on September 1, 2026.
About Mathematics PhD
Disciplines
Requirements
Entry Requirements
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.
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.
Country-specific requirements
For more information about country-specific entry requirements for your country please see here.
English Requirements
- PTEMin 61
- IELTSMin 6.5
- TOEFLMin 88
English Program 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.
Career
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.
Fee Information

United Kingdom, London