Mathematical Physics PhD This programme is not currently open for applications. Applications for the next intake usually open in October. Level: Postgraduate research Subject: Mathematics and Statistics Year of entry: 2027 Study options Part-time PhD | 8 years | Start date: multiple dates Full-time PhD | 4 years | Start date: multiple dates Key facts School School of Mathematics College College of Science and Engineering Programme website Edinburgh Mathematical Physics Group School location Multiple campuses 17 to 19 November 2026: Postgraduate Virtual Open Days Join us live to explore postgraduate taught and research study at Edinburgh and gain key insights before you apply. Browse sessions and register Overview About the degree programme This programme is for those students in Mathematical Physics who do not belong to the Centre for Doctoral Training in Algebra, Geometry and Quantum Fields (AGQ). However, application for this programme is through the AGQ website, and all AGQ applicants are also considered for this degree.This programme aims to train graduate students to research excellence in diverse disciplines, such as:mathematical and theoretical physics, including:geometryquantum field theorygauge theorygravityYou will navigate the many vibrant interfaces among these disciplines, learning to communicate ideas fluently across different areas of mathematics and physics, and harnessing the power of interfaces to advance research.You may incorporate advanced computing methods in your research and will have the opportunity to work with some of our 30+ partners in the international academic community, industry, and the third sector.You will also benefit from being part of the Edinburgh Mathematical Physics Group, a multidisciplinary research group with close connections to the School of Mathematics’ Algebra and Geometry and Topology groups. Find out what it's like studying for a PhD in the School of Mathematics. Hear from some of our current PhD students as they share their experience of researching mathematics. Study options This programme is available with or without an internship requirement.Both of these programme options are available to study on a full-time basis (over 4 years) or a part-time basis (over 8 years). Applying How to apply Applying through the AGQ Centre for Doctoral TrainingSee the AGQ website for information on how to apply.Apply for this programme through AGQ When to apply This programme is not currently open for applications. Applications for the next intake usually open in October. The application timeline is different to the University of Edinburgh's, as the start date for applications is typically in mid-October.Deadline for applications for 2027 entry: 19 December 2026 Application fee There is no fee to apply to this programme. What you need to apply As part of your online application, you will need to provide: a personal statementrelevant knowledge/training skillsAcademic CVand, if applicable:your research topicdetails of any published workYou will also need to provide some or all of the following supporting information and documents:name of supervisor (if known)research project (if applying to an advertised project)copies of your degree certificates and academic transcripts that confirm your current or final marksreferencesevidence you meet the English language requirementscertified translations if your original documents are not in EnglishWhen you start your application, you will be able to see the full list of documents you need to provide.ReferencesYou must submit two references with your application. Academic Technology Approval Scheme If you need to apply for a student visa, you may need an Academic Technology Approval Scheme clearance certificate in order to study this programme. Academic Technology Approval Scheme Funding, fees and costs Funding Most PhD students in Mathematics receive full scholarships to cover their tuition fees and living costs.Others may use a combination of the following funding to pay their tuition fees and living costs:scholarshipsborrowing moneytaking out a loanfamily supportpersonal savingsincome from workemployer sponsorshipExplore sources of funding for postgraduate study Studentship fundingAll applicants will be automatically considered for studentship funding as part of the application process.Studentship funding may be subject to eligibility requirements as set by the programme funder. We will conduct eligibility assessments as part of the application process.Featured fundingSchool of Mathematics funding opportunitiesResearch scholarships for international students Search for other funding opportunities You can find scholarships, bursaries and other funding you might be eligible for on our Scholarships and Student Funding site.Postgraduate funding opportunities Tuition fees Tuition fees by award and durationFull timeMathematical Physics (PhD) - 4 Years (Full-time)Mathematical Physics with Internship (PhD) - 4 Years (Full-time)Part timeMathematical Physics (PhD) (Part-time) Graduate discount If you are a University of Edinburgh graduate, you will be eligible for a 10% discount on your tuition fees for this programme. You may also be eligible if you were a visiting undergraduate student.Find out how to receive your graduate discount Costs Accommodation and living costs You will need to pay for your accommodation and living costs (such as rent, food and utility bills) for the duration of your programme.For 2026-2027, we estimate that it will cost an average of £18,504 each year (£1,542 each month) to live in Edinburgh as a postgraduate.The exact amount you spend will depend on different factors, especially the accommodation you choose.Living costs: estimates explained Entry requirements These entry requirements are for the 2027-28 academic year and requirements for future academic years may differ. Entry requirements for the 2028-29 academic year will be published in early Oct 2027. Qualifications A UK first class honours degree, or its international equivalent, in an appropriate subject; or a UK 2:1 honours degree plus a UK masters degree, or their international equivalents; or relevant qualifications and experience. International equivalent qualifications To find international equivalent qualifications, select where you studied from the country or region list. Where you studied - Select a country or region - Afghanistan Albania Algeria Angola Argentina Armenia Australia Austria Azerbaijan Bahamas Bahrain Bangladesh Belarus Belgium Belize Benin Bolivia Bosnia and Herzegovina Botswana Brazil Brunei Darussalam Bulgaria Burkina Faso Burundi Cambodia Cameroon Canada Chile China Colombia Costa Rica Côte d'Ivoire Croatia Cuba Cyprus Czechia Democratic Republic of Congo Denmark Dominican Republic Ecuador Egypt El Salvador Eritrea Estonia Eswatini Ethiopia Finland France Gabon The Gambia Georgia Germany Ghana Greece Guatemala Guinea Haiti Honduras Hong Kong-SAR China Hungary Iceland India Indonesia Iran Iraq Ireland Israel Italy Jamaica Japan Jordan Kazakhstan Kenya Kosovo Kuwait Latvia Lebanon Lesotho Liberia Libya Lithuania Luxembourg Macau-SAR China Madagascar Malawi Malaysia Mali Malta Mauritius Mexico Moldova Montenegro Morocco Mozambique Myanmar Namibia Nepal Netherlands, The New Zealand Nicaragua Nigeria North Macedonia Norway Oman Pacific Islands Pakistan Palestine Panama Paraguay Peru Philippines Poland Portugal Qatar Romania Russia Rwanda Saudi Arabia Senegal Serbia Sierra Leone Singapore Slovakia Slovenia Somalia South Africa South Korea South Sudan Spain Sudan Sweden Switzerland Syria Taiwan Tanzania Thailand Togo Trinidad and Tobago Tunisia Turkey Uganda Ukraine United Arab Emirates United States of America Uruguay Uzbekistan Venezuela Vietnam West Indies and Caribbean Yemen Zambia Zimbabwe My country or region is not listed English language requirements You must prove that your English language abilities are at a high enough level to study this degree programme.This is the case for all applicants, including UK nationals.You can meet our English language requirements with one of the following:an English language test (restrictions apply)a degree that was taught and assessed in English (restrictions apply)certain professional qualifications English language tests we accept We accept any of the following English language tests, at the specified grade or higher: IELTS Academic: total 6.5 with at least 6.0 in each component. We do not accept IELTS One Skill Retake to meet our English language requirements. TOEFL-iBT (including Home Edition) before 21 January 2026: total 92 with 23 in each component. We do not accept TOEFL MyBest Score to meet our English language requirements. TOEFL-iBT (including Home Edition) from 21 January 2026: total 4.5 with at least 4.5 in each component. We do not accept TOEFL MyBest Score to meet our English language requirements. C1 Advanced (CAE) / C2 Proficiency (CPE): total 176 with at least 169 in each component. Oxford ELLT: total 7 with at least 6 in each component. We do not accept Oxford ELLT Skill Retake to meet our English language requirements. Oxford Test of English Advanced: total 145 with at least 135 in each component. How old your English language tests can be Tests no more than two years oldThe following English language tests must be no more than two years old on the 1st of the month in which your programme starts, regardless of your nationality:IELTS AcademicTOEFL-iBT (including Home Edition)Oxford ELLTOxford Test of English AdvancedTests no more than three and a half years oldAll other English language tests must be no more than three and a half years old on the 1st of the month in which your programme starts, regardless of your nationality. Degrees taught and assessed in English We accept an undergraduate or postgraduate degree that has been taught and assessed in English in a majority English-speaking country, as defined by UK Visas and Immigration.UKVI list of majority English speaking countriesWe also accept a degree that has been taught and assessed in English from a university on our list of approved universities in non-majority English-speaking countries (non-MESC).Approved universities in non-MESCHow old your degree can beIf you are not a national of a majority English-speaking country, then your degree must be no more than five years old on the 1st of the month in which your programme starts.This time limit does not apply to your degree if you are a national of a majority English-speaking country. Find out more about our English language requirements Find out about other English language qualifications we accept, including professional qualifications.English language requirements Programme details Research profile Edinburgh Mathematical Physics GroupThe Edinburgh Mathematical Physics Group is a joint research collective with Heriot-Watt University, formed in 1999 and now part of the Maxwell Institute.Edinburgh Mathematical Physics GroupOur group pursues wide-ranging interests spanning a number of disciplines. A central goal is to understand the principles behind quantum gravity, through the study of black holes, cosmologies and spacetime singularities, and via the use of holography and the interplay with quantum gauge field theory through the gauge/gravity correspondence.Particularly fruitful areas of research are the geometry of higher-dimensional black holes and their near-horizon geometries in the context of higher-dimensional generalisations of general relativity.We’re fascinated by the various manifestations of supersymmetry: in string theory, supergravity and gauge theory. This has led us to several classification results on supersymmetric supergravity backgrounds, including a recent proof of the homogeneity conjecture. We also study gauge theoretic moduli spaces using supersymmetry and via integrable systems techniques, displaying an interplay between the algebraic geometry of curves and their associated function theory. This research has led to computer implementations of various algebro-geometric constructions.Recently we have made progress in some purely mathematical problems suggested by the gauge/gravity correspondence, namely the classification of certain exotic algebraic structures related to superconformal field theories, as well as that of certain types of homogeneous supergravity backgrounds. Our research community Mathematics is a discipline of high intellect with connections stretching across all the scientific disciplines and beyond, and in Edinburgh you can be certain of thriving in a rich academic setting. Our School is one of the country’s largest mathematics research communities in its own right, but you will also benefit from Edinburgh’s high-level collaborations, both regional and international.Research students will have a primary and secondary supervisor and the opportunity to network with a large and varied peer group. You will be carrying out your research in the company of eminent figures and be exposed to a steady stream of distinguished researchers from all over the world.Our status as one of the most prestigious schools in the UK for mathematics attracts highly respected staff. Many of our 100+ current academics are leaders in their fields and have been recognised with international awards.Researchers are encouraged to travel and participate in conferences and seminars. You’ll also be in the right place in Edinburgh to meet distinguished researchers from all over the world who are attracted to conferences held at the School and the various collaborative centres based here. You’ll find opportunities for networking that could have far-reaching effects on your career in mathematics.Piscopia InitiativeWe particularly encourage women and those who identify as women plus other underrepresented groups in mathematics to apply, and to work with groups such as the Piscopia Initiative to improve the representation and inclusion of women and minorities in mathematics.Piscopia Initiative Find out more about pursuing a PhD in the School of Mathematics in this Q&A with the Director of the Graduate School. Programme structure To graduate from this PhD programme, you will need to complete taught courses worth 120 credits in total. 60 credits should be achieved during Year 1 of the programme. Supervisors and research theme staff will guide you through this process. Facilities You will enjoy excellent facilities, ranging from one of the world’s major supercomputing hubs to libraries for research.As a research student, you will have access to dedicated desk space with monitors and a laptop computer, in prime locations such as the Bayes Centre. This state-of-the-art building is home to over 400 internationally recognised scientists and leading industry experts.About the Bayes CentreWe provide all our mathematics postgraduates with access to software packages such as:MapleMatlabMathematica Research students are allocated parallel computing time on ‘Eddie’, the Edinburgh Compute and Data Facility. You can also request use of the BlueGene/Q supercomputer facility for your research. Careers Career opportunities Graduates of this programme will be well-prepared to find employment and to become leaders in a diverse array of industries, including:academia and researchin the industrial sector, in areas such as:techfinanceconsultancycryptography and securityquantum technologiesin the third sector, in areas such as:public engagementgovernmentpolicyeducation Careers Service Our Careers Service can help you to fully develop your potential and achieve your future goals. The Careers Service supports you not only while you are studying at the University, but also for up to two years after you finish your studies. With the Careers Service, you can: access digital resources to help you understand your skills and strengthstry different types of experiences and reflect on how and what you developget help finding work, including part-time jobs, vacation work, internships and graduate jobsattend careers events and practice interviewsget information and advice to help you make informed decisions Visit the Careers Service website Life at Edinburgh Accommodation We guarantee an offer of University accommodation for all new, single postgraduate taught students from outside the UK and new, single postgraduate research (typically PhD) students who:apply for accommodation by 31 July in the year when you start your programmeaccept an unconditional firm offer to study at the University by 31 Julystudy at the University for the whole of the academic year starting in SeptemberUniversity accommodation websiteAccommodation guarantee criteriaWe also offer accommodation options for couples and families.Accommodation for couples and familiesIf you prefer to live elsewhere, we can offer you advice on finding accommodation in Edinburgh.Accommodation information from the Edinburgh University Students' Association Advice Place Societies and clubs Our societies and sports clubs will help you develop your interests, meet like-minded people, find a new hobby or simply socialise.SocietiesSport Clubs The city of Edinburgh Scotland's inspiring capital will form the background to your studies — a city with an irresistible blend of history, natural beauty and modern city life. Find out more about living in Edinburgh Exercise, leisure and support facilities Outside of your studies, we offer a range of facilities that you might find useful day-to-day, including:sport and active wellbeing facilitiesUniversity cafes and cateringEdinburgh University Students' Association (EUSA) venues and shopsa multi-faith chaplaincy for all faiths and nonea University nursery (based at King’s Buildings campus) Health and wellbeing support You will have access to free health and wellbeing services throughout your time at university if you need them.The support services we offer include: a student counselling service a health centre (doctor's surgery) support if you're living in University accommodation dedicated help and support if you have a disability or need adjustmentsHealth and wellbeing support services Disability and Learning Support Contact General enquiries CDT Manager, Joyce Ternenge Email us Phone:+44 (0)131 650 5085
