About the course
The MSc in Mathematics and Foundations of Computer Science, run jointly by the Mathematical Institute and the Department of Computer Science, focuses on the interface between pure mathematics and theoretical computer science.
The mathematical side concentrates on areas where computers are used, or which are relevant to computer science, namely algebra, general topology, number theory, combinatorics and logic. Examples from the computing side include computational complexity, concurrency, and quantum computing. Students take a minimum of five options and write a dissertation.
The course is suitable for those who wish to pursue research in pure mathematics (especially algebra, number theory, combinatorics, general topology and their computational aspects), mathematical logic, or theoretical computer science. It is also suitable for students wishing to enter industry with an understanding of mathematical and logical design and concurrency.
The course runs from the beginning of October through to the end of September, including the dissertation.
The allocation of graduate supervision for this course is the responsibility of the Mathematical Institute and/or the Department of Computer Science 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 and/or the Department of Computer Science.
The course will consist of examined lecture courses, usually taught as lectures supported by classes in groups of 8-10, and a written dissertation.
The lecture courses will be divided into two sections:
- Section A: Mathematical Foundations
- Section B: Applicable Theories
Each section will be divided into schedule I (basic) and schedule II (advanced). Students will be required to satisfy the examiners in at least two courses taken from section B and in at least two courses taken from schedule II. The majority of these courses should be given in the first two terms.
During Trinity term and over the summer students should complete a dissertation on an agreed topic. The dissertation must bear regard to course material from section A or section B. It is normal to have around eight meetings with your dissertation supervisor, mainly during Trinity term, but possibly continuing into July, but the exact arrangements are made mutually.
It is intended that a major feature of this course is that candidates should show a broad knowledge and understanding over a wide range of material. Consequently, each lecture course taken will receive an assessment upon its completion by means of a test based on written work. Students will be required to pass five courses that include two courses from section B and two at the schedule II level - these need not be distinct - and the dissertation. The dissertation is marked by the supervisor and a second marker, and the final mark is based on their reports as well as a short compulsory viva held in September.
Graduates pursue careers in research into mathematics and/or computer science or industry.
Changes to this course and your supervision
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. The safety of students, staff and visitors is paramount and major changes to delivery or services may have to be made in circumstances of a pandemic (including Covid-19), epidemic or local health emergency. In addition, in certain circumstances, for example due to visa difficulties or because the health needs of students cannot be met, it may be necessary to make adjustments to course requirements for international study.
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 illness, sabbatical leave, parental leave or change in employment.
Other courses you may wish to consider
If you're thinking about applying for this course, you may also wish to consider the courses listed below. These courses may have been suggested due to their similarity with this course, or because they are offered by the same department or faculty.
All graduate courses offered by the Mathematical Institute
Entry requirements for entry in 2022-23
Proven and potential academic excellence
As a minimum, applicants should hold or be predicted to achieve the following UK qualifications or their equivalent:
- a first-class or strong upper second-class undergraduate degree with honours in a subject with significant mathematical content.
For applicants with a degree from the USA, the minimum GPA sought is 3.6 out of 4.0.
If your degree is not from the UK or another country specified above, visit our International Qualifications page for guidance on the qualifications and grades that would usually be considered to meet the University’s minimum entry requirements.
GRE General Test scores
No Graduate Record Examination (GRE) or GMAT scores are sought.
Other qualifications, evidence of excellence and relevant experience
- Publications are not expected.
English language proficiency
This course requires proficiency in English at the University's higher level. If your first language is not English, you may need to provide evidence that you meet this requirement. The minimum scores required to meet the University's higher level are detailed in the table below.
|Test||Minimum overall score||Minimum score per component|
|IELTS Academic (Institution code: 0713)||7.5||7.0|
TOEFL iBT, including the 'Home Edition'
(Institution code: 0490)
*Previously known as the Cambridge Certificate of Advanced English or Cambridge English: Advanced (CAE)
†Previously known as the Cambridge Certificate of Proficiency in English or Cambridge English: Proficiency (CPE)
Your test must have been taken no more than two years before the start date of your course. Our Application Guide provides further information about the English language test requirement.
Declaring extenuating circumstances
If your ability to meet the entry requirements has been affected by the COVID-19 pandemic (eg you were awarded an unclassified/ungraded degree) or any other exceptional personal circumstance (eg other illness or bereavement), please refer to the guidance on extenuating circumstances in the Application Guide for information about how to declare this so that your application can be considered appropriately.
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
Interviews may be held as part of the admissions process, at the discretion of the Admissions Panel and the Supervisory Committee. It is currently expected that interviews will take place for entry in 2022-23.
If you are shortlisted for interview you will usually be notified within one month of the application deadline which you met. Where applications are still accepted after the final standard University deadline, you will be informed whether or not you are invited for interview shortly after applications close. In both cases you should expect to receive one to two weeks’ notice of an interview and it is expected that interviews will take place around five to six weeks after an application deadline.
If invited you can expect to be interviewed by at least two people. The interview could take place face-to-face or by telephone or Skype.
The major part of the interview will be the technical interview in which you will be asked questions on material relevant to the course. In addition, you will be asked why you would like to undertake the course and there will be opportunity for you to ask questions (although these questions are not taken into account when assessing interview performance).
Any offer of a place is dependent on the University’s ability to provide the appropriate supervision for your chosen area of work. Please refer to the ‘About’ section of this page for more information about the provision of supervision for this course.
How your application is assessed
Your application will be assessed purely on academic merit and potential, according to the published entry requirements for the course. The After you apply section of this website provides further information about the academic assessment of your application, including the potential outcomes. Please note that any offer of a place may be subject to academic conditions, such as achieving a specific final grade in your current degree course. These conditions may vary depending upon your individual academic circumstances.
Students are considered for shortlisting and selected for admission without regard to age, disability, gender reassignment, marital or civil partnership status, pregnancy and maternity, race (including colour, nationality and ethnic or national origins), religion or belief (including lack of belief), sex, sexual orientation, as well as other relevant circumstances including parental or caring responsibilities or social background. However, please note the following:
- Socio-economic information may be taken into account in the selection of applicants and award of scholarships for courses that are part of the University’s pilot on selection procedures and for scholarships aimed at under-represented groups;
- Country of ordinary residence may be taken into account in the awarding of certain scholarships; and
- Protected characteristics may be taken into account during shortlisting for interview or the award of scholarships where the University has approved a positive action case under the Equality Act 2010.
Admissions panels and assessors
All recommendations to admit a student involve the judgement of at least two members of the academic staff with relevant experience and expertise, and must also be approved by the Director of Graduate Studies or Admissions Committee (or equivalent within the department).
Admissions panels or committees will always include at least one member of academic staff who has undertaken appropriate training.
After an offer is made
If you receive an offer of a place at Oxford, your offer letter will give full details of your offer and any academic conditions, such as achieving a specific final grade in your current degree course. In addition to any academic conditions which are set, you will be required to meet the following requirements:
If you are offered a place, you will be required to complete a Financial Declaration in order to meet your financial condition of admission.
Disclosure of criminal convictions
In accordance with the University’s obligations towards students and staff, we will ask you to declare any relevant, unspent criminal convictions before you can take up a place at Oxford.
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. The Mathematical Institute provides six lecture theatres and six classrooms. The largest lecture theatre seats up to 363 people and all classrooms can accommodate 24 people.
The Mathematical Institute provides IT support and the department's Whitehead Library, where students will find an extensive range of books and journals. A shared study room with desktop computers is located in the Mathematical Institute for MSc in Mathematics and Foundations of Computer Science students.
Graduate students have access to the department common room, where graduate students regularly gather for coffee and other social occasions and the mezzanine level of the Andrew Wiles Building houses a café and teaching spaces.
The Department of Computer Science is located in the Wolfson Building on the corner of Keble Road and Parks Road. Access to this building will need to be activated on your University card at the Department of Computer Science.
The University expects to be able to offer around 1,000 full or partial graduate scholarships across the collegiate University in 2022-23. You will be automatically considered for the majority of Oxford scholarships, if you fulfil the eligibility criteria and submit your graduate application by the relevant December or January deadline. Most scholarships are awarded on the basis of academic merit and/or potential.
For further details about searching for funding as a graduate student visit our dedicated Funding pages, which contain information about how to apply for Oxford scholarships requiring an additional application, details of external funding, loan schemes and other funding sources.
Please ensure that you visit individual college websites for details of any college-specific funding opportunities using the links provided on our college pages or below:
Please note that not all the colleges listed above may accept students on this course. For details of those which do, please refer to the College preference section of this page.
Further information about funding opportunities for this course can be found on the institute's website.
Annual fees for entry in 2022-23
Annual Course fees
Further details about fee status eligibility can be found on the fee status webpage.
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 changes to fees and charges.
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.
There are no compulsory elements of this course that entail additional costs beyond fees and living costs. However, as part of your course requirements, you may need to choose a dissertation, a project or a thesis topic. Please note that, depending on your choice of 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 2022-23 academic year, the range of likely living costs for full-time study is between c. £1,215 and £1,755 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 2022-23, you should allow for an estimated increase in living expenses of 3% each year.
All graduate students at Oxford belong to a department or faculty and a college or hall (except those taking non-matriculated courses). If you apply for a place on this course you will have the option to express a preference for one of the colleges listed below, or you can ask us to find a college for you. The Colleges section of this website provides information about the college system at Oxford, as well as factors you may wish to consider when deciding whether to express a college preference. Please note that ‘college’ and ‘colleges’ refers to all 45 of the University’s colleges, including those designated as Permanent Private Halls (PPHs).
For some courses, the department or faculty may have provided some additional advice below to help you to decide. Whatever you decide, it won’t affect how the academic department assesses your application and whether they decide to make you an offer. If your department makes you an offer of a place, you’re guaranteed a place at one of our colleges.
The following colleges accept students on the MSc in Mathematics and Foundations of Computer Science:
How to apply
You are welcome to make contact with the Course Director, Professor Oliver Riordan, before you apply in order to find out more about the course. However, it is not necessary to contact a potential supervisor as this will be arranged on your arrival.
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:
A maximum of 1,000 words
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.
If possible, please ensure that the word count is clearly displayed on the document.
This will be assessed for your reasons for applying; evidence of motivation for and understanding of the proposed area of study; the ability to present a reasoned case in English; and commitment to the subject, beyond the requirements of the degree course.
Your statement should focus on your motivation for wishing to undertake the course rather than personal achievements, interests and aspirations.
References/letters of recommendation:
Three overall, of which at least two must be 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.
It is recommended that you use at least two academic referees, who can comment directly on your academic work. You may also use up to one professional reference.
Your references will support intellectual ability, academic achievement, motivation and commitment to pursue the chosen course to a successful conclusion.
Start or continue an application
Step 1: Read our guide to getting started, which explains how to prepare for and start an application.
Step 2: Check that you meet the Entry requirements and read the How to apply information on this page.
Step 3: Check the deadlines on this page and the deadline information in our Application Guide. Plan your time to submit your application well in advance - we recommend two or three weeks earlier.
Step 4: Check if you're eligible for an application fee waiver. Application fee waivers are available for:
- UK applicants from low-income backgrounds who meet the eligibility criteria;
- residents in a country on our low-income countries list (refer to the eligibility criteria);
- current Oxford graduate taught students applying for readmission to an eligible course; and
- additional applications to selected research courses that are closely related to your first application.
Step 5: Start your application using the relevant link below. As you complete the form, consult our Application Guide for advice at each stage. You'll find the answers to most common queries in our FAQs.