About the course
The DPhil in Mathematics is an advanced research degree which provides the opportunity to investigate a project in depth and write a thesis which makes a significant contribution in the field. You will gain a wide range of research and other skills as well as in-depth knowledge and expertise in your chosen field, whilst studying in a beautiful, modern setting.
During your study at Oxford, you can share in the excitement of contributing to research in one or more of the many topics studied by Oxford mathematicians. Subject areas cover the entire spectrum of mathematics and the department’s research is conducted in many fields, with subject areas including:
- algebra (primarily group theory and representation theory)
- number theory
- algebraic geometry
- differential geometry
- complex manifolds
- global analysis
- partial differential equations
- functional analysis
- stochastic analysis
- dynamical systems
- mathematical logic
- combinatorial theory
- quantum theory
- string theory
- mathematical biology and ecology
- mathematical modelling
- fluid and continuum mechanics
- mathematical and computational finance
- numerical analysis
- history of mathematics
- mathematics applied to problems in earth sciences, materials science and finance.
You will be asked to outline your research interests when you apply, and will be matched to the most appropriate research group. You will also be invited to suggest a specific supervisor or supervisors, and your preferences will be taken into account in allocating you a supervisor (which will be done before your arrival).
There are formal assessments of progress on the research project; transfer of status at around 12 to 15 months and confirmation of status at around 30 to 36 months. These assessments involve the submission of written work and an oral examination.
You will be expected to acquire transferable skills as part of your training and to undertake 100 hours of broadening courses outside your specialist area. This involves the submission of written work for five 16-hour lecture courses and attendance at workshops and colloquia
You will have the opportunity to develop valuable skills and to contribute to the work of the department by teaching, both by marking students’ work and later by leading classes of around 8 to 12 students. You will be expected to teach at least one set of classes before transfer of status and at least one additional set before confirmation of status. You will receive relevant training, and will work with a more experienced teacher who will mentor and support you.
Undertaking the course is regarded as equivalent to working full-time hours and may also sometimes require some additional hours. The minimum period of registration for the DPhil is six terms but in practice you may need nine terms at least.
The department, working alongside the university’s Careers Service, supports graduate students as they move from the DPhil to the next stage of their career. Many graduate students stay in academia, by taking up a postdoctoral position, and many move into employment in a range of industries and sectors where the expertise and skills developed during the DPhil are highly valued.
Other courses in this area
- MSc in Mathematics and Foundations of Computer Science
- MSc in Mathematical Modelling and Scientific Computing
- MSc in Mathematical and Computational Finance
- MSc in Mathematical and Theoretical Physics
- MSc in Mathematical Finance
- MSc by Research in Mathematics
- MSc in Mathematical Sciences
- Mathematics of Random Systems: Analysis, Models and Algorithms (EPSRC CDT)
Changes to the course
The University will seek to deliver this course in accordance with the description set out in this course page. However, there may be situations in which it is desirable or necessary for the University to make changes in course provision, either before or after registration. For further information, please see our page on changes to courses.
Entry requirements for entry in 2019-20
Within equal opportunities principles and legislation, applications will be assessed in the light of an applicant’s ability to meet the following entry requirements:
1. Academic ability
Proven and potential academic excellence
Applicants are normally expected to be predicted or have achieved a first-class undergraduate degree with honours (or equivalent international qualifications), as a minimum, in mathematics or a related discipline.
For applicants with a degree from the USA, the minimum GPA sought is 3.7 out of 4.0.
A previous master's degree is not required, though the requirement for a first-class undergraduate degree with honours can be alternatively demonstrated by strong performance in a master's degree.
If you hold non-UK qualifications and wish to check how your qualifications match these requirements, you can contact the National Recognition Information Centre for the United Kingdom (UK NARIC).
No Graduate Record Examination (GRE) or GMAT scores are sought.
Other appropriate indicators will include:
You will be required to supply supporting documents with your application, including references and an official transcript. See 'How to apply' for instructions on the documents you will need and how these will be assessed.
Performance at interview(s)
Technical interviews are normally held as part of the admissions process.
If invited you can expect to be interviewed by at least two people and for the interview to last around 30 minutes. The interview could take place face-to-face or by telephone or Skype.
It is expected that interviews will take place around three to five weeks after an application deadline.
Publications are not expected.
Other qualifications, evidence of excellence and relevant experience
Research or working experience in the proposed research may be an advantage.
2. English language requirement
Applicants whose first language is not English are usually required to provide evidence of proficiency in English at the standard level required by the University.
3. Availability of supervision, teaching, facilities and places
The following factors will govern whether candidates can be offered places:
- The ability of the Mathematical Institute to provide the appropriate supervision, research opportunities, teaching and facilities for your chosen area of work.
- Minimum and maximum limits to the numbers of students who may be admitted to Oxford's research and taught programmes.
The provision of supervision, where required, is subject to the following points:
- The allocation of graduate supervision is the responsibility of the Mathematical Institute and it is not always possible to accommodate the preferences of incoming graduate students to work with a particular member of staff.
- Under exceptional circumstances a supervisor may be found outside the Mathematical Institute.
Where possible your academic supervisor will not change for the duration of your course. However, it may be necessary to assign a new academic supervisor during the course of study or before registration for reasons which might include sabbatical leave, maternity leave or change in employment.
4. Disability, health conditions and specific learning difficulties
Students are selected for admission without regard to gender, marital or civil partnership status, disability, race, nationality, ethnic origin, religion or belief, sexual orientation, age or social background.
Decisions on admission are based solely on the individual academic merits of each candidate and the application of the entry requirements appropriate to the course.
Further information on how these matters are supported during the admissions process is available in our guidance for applicants with disabilities.
All recommendations to admit a student involve the judgment of at least two members of academic staff with relevant experience and expertise, and additionally must be approved by the Director of Graduate Studies or Admissions Committee (or equivalent departmental persons or bodies).
Admissions panels or committees will always include at least one member of academic staff who has undertaken appropriate training.
6. Other information
Whether you have yet secured funding is not taken into consideration in the decision to make an initial offer of a place, but please note that the initial offer of a place will not be confirmed until you have completed a Financial Declaration.
The Mathematical Institute's home is the purpose-built Andrew Wiles Building, opened in 2013. This provides ample teaching facilities for lectures, classes and seminars. Each student is allocated an office in the Andrew Wiles Building that they will share with 3 or 4 other students: each student has their own desk, with a computer. The Mathematical Institute provides IT support, and students can use the department's Whitehead Library, with an extensive range of books and journals.
In addition to the common room, where graduate students regularly gather for coffee and other social occasions, there is also a café in the Andrew Wiles Building.
The department offers extensive support to students, from regular skills training and career development sessions to a variety of social events in a welcoming and inclusive atmosphere. You will have the opportunity to interact with fellow students and other members of your research groups, and more widely across the department. The department is committed to offering you the best supervision and to providing a stimulating research environment.
There are over 1,000 full graduate scholarships available across the University, and these cover your course fees and provide a grant for living costs. If you apply by the relevant January deadline and fulfil the eligibility criteria you will be automatically considered. Over two thirds of Oxford scholarships require nothing more than the standard course application. Use the Fees, funding and scholarship search to find out which scholarships you are eligible for and if they require an additional application, full details of which are provided.
For students applying to programmes within the MPLS Division at Oxford, Research Council and other funding opportunities available, subject to eligibility. These opportunities are included in the Fees, funding and scholarship search.
You may also be interested in departmental funding opportunities. Further details can be found on the Mathematical Institute website.
Annual fees for entry in 2019-20
Annual Course fees
|Home/EU (including Islands)||£7,730|
The fees shown above are the annual course fees for this course, for entry in the stated academic year.
Course fees cover your teaching as well as other academic services and facilities provided to support your studies. Unless specified in the additional information section below, course fees do not cover your accommodation, residential costs or other living costs. They also don’t cover any additional costs and charges that are outlined in the additional information below. You may have seen separate figures in the past for tuition fees and college fees. We have now combined these into a single figure.
Course fees are payable each year, for the duration of your fee liability (your fee liability is the length of time for which you are required to pay course fees). For courses lasting longer than one year, please be aware that fees will usually increase annually. For details, please see our guidance on likely increases to fees and charges.
Following the period of fee liability, you may also be required to pay a University continuation charge and a college continuation charge. The University and college continuation charges are shown on the Continuation charges page.
For more information about course fees and fee liability, please see the Fees section of this website. EU applicants should refer to our dedicated webpage for details of the implications of the UK’s plans to leave the European Union.
There are no compulsory elements of this course that entail additional costs beyond fees (or, after fee liability ends, continuation charges) and living costs. However, please note that, depending on your choice of research topic and the research required to complete it, you may incur additional expenses, such as travel expenses, research expenses, and field trips. You will need to meet these additional costs, although you may be able to apply for small grants from your department and/or college to help you cover some of these expenses.
In addition to your course fees, you will need to ensure that you have adequate funds to support your living costs for the duration of your course.
For the 2019-20 academic year, the range of likely living costs for full-time study is between c. £1,058 and £1,643 for each month spent in Oxford. Full information, including a breakdown of likely living costs in Oxford for items such as food, accommodation and study costs, is available on our living costs page. When planning your finances for any future years of study in Oxford beyond 2019-20, you should allow for an estimated increase in living expenses of 3% each year.
The following colleges accept students on the DPhil in Mathematics:
- Balliol College
- Brasenose College
- Campion Hall
- Christ Church
- Corpus Christi College
- Exeter College
- Green Templeton College
- Hertford College
- Jesus College
- Keble College
- Kellogg College
- Lady Margaret Hall
- Linacre College
- Lincoln College
- Magdalen College
- Mansfield College
- Merton College
- New College
- Oriel College
- Pembroke College
- The Queen's College
- St Anne's College
- St Catherine's College
- St Cross College
- St Edmund Hall
- St Hilda's College
- St Hugh's College
- St John's College
- St Peter's College
- Somerville College
- Trinity College
- University College
- Wadham College
- Wolfson College
- Worcester College
How to apply
You are welcome to contact academics involved in their preferred area of research, although this is not a necessary prerequisite to the application process. If you are unsure of who to contact, please use the contact details provided on this page and your email will be forwarded onto the relevant academic.
The set of documents you should send with your application to this course comprises the following:
Your transcripts should give detailed information of the individual grades received in your university-level qualifications to date. You should only upload official documents issued by your institution and any transcript not in English should be accompanied by a certified translation.
More information about the transcript requirement is available in the Application Guide.
A CV/résumé is compulsory for all applications. Most applicants choose to submit a document of one to two pages highlighting their academic achievements and any relevant professional experience.
Statement of purpose/personal statement:
Up to two pages
Your statement should be written in English and explain your motivation for applying for the course at Oxford, your relevant experience and education, and the specific areas that interest you and/or you intend to specialise in.
This will be assessed for evidence of motivation for and understanding of the proposed area of study and whether a suitable supervisor can be provided.
References/letters of recommendation:
Three overall, generally academic
Whilst you must register three referees, the department may start the assessment of your application if two of the three references are submitted by the course deadline and your application is otherwise complete. Please note that you may still be required to ensure your third referee supplies a reference for consideration.
Your references should generally be academic, though up to one professional reference will be accepted.
Your references will support intellectual ability, academic achievement, motivation and your ability to work in a group.
Start or continue an application
Step 1: Carefully read the entry requirements on this course page to make sure you meet all the criteria.
Step 2: Check above what documents are required and prepare to apply by reading our Application Guide.
Step 3: Apply as soon as possible. Consult the Application Guide for more information about deadlines.