The department is home to many internationally renowned mathematicians. Our students go on to pursue successful careers in a variety of settings, primarily as postdoctoral researchers or in the world of finance. Excellent networking opportunities are provided by our central London location and close research links to other London universities.
Modes and duration
Full time students take 3-4 years to complete. Teaching Assistants (TA) tend to take 4 years due to teaching duties. The part-time programme is expected to last 5-7 years in total.
Tuition fees (2020/21)
Note on fees: The tuition fees shown are for the year indicated above. Fees for subsequent years may increase or otherwise vary. Further information on fee status, fee increases and the fee schedule can be viewed on the UCL Students website.
A minimum of an upper second-class UK Bachelor’s degree in a relevant discipline or an overseas qualification of an equivalent standard. Where possible, candidates are always interviewed. For overseas candidates there will be an alternative interview by telephone or Skype.
English language requirements
If your education has not been conducted in the English language, you will be expected to demonstrate evidence of an adequate level of English proficiency.
The English language level for this programme is: Standard
Further information can be found on our English language requirements page.
Country-specific information, including details of when UCL representatives are visiting your part of the world, can be obtained from the International Students website.
International applicants can find out the equivalent qualification for their country by selecting from the list below.
Select your country:
We offer research supervision across a broad range of pure and applied mathematics. General areas of expertise in pure mathematics include analysis, geometry, number theory and topology. In applied mathematics key areas of activity include fluid dynamics, mathematical modelling, mathematical physics, applied and numerical analysis and financial mathematics.
Departmental research specialities fall within the two main groupings of pure and applied mathematics described below, and graduate research may be pursued within either field.
- Applied mathematics: environmental flows (including vortex dynamics, atmospheric and ocean dynamics and climate modelling); fluid mechanics (e.g. free-surface flows, polymers); industrial mathematics (e.g. inverse models, sound transmission, multi-particle interactions); mathematical biology and medicine (e.g. modelling cerebral and liver blood flow, molecular and cellular dynamics); gravitation, integrable systems; mathematical modelling; applied partial differential equations; numerical analysis and scientific computing; financial mathematics
- Pure mathematics: functional analysis; real and complex analysis; spectral theory; combinatorics; algebraic number theory; geometric topology; discrete and convex geometry; probability theory; geometric group theory; symplectic and contact topology
About this degree
Funded PhD places include the provision of a laptop by the department to be purchased in the first 2 years of studies. Students own the laptop and are, therefore, expected to pay the costs of insuring and backing-up their laptop. Students who leave their studies early are expected to return their laptop if already purchased.
For MPhil/PhD research at least two EPSRC doctoral training awards are normally offered each year. Around five PhD teaching assistantships are also available each year. In addition, there are UCL Graduate Research Scholarships and Overseas Research Scholarships, and departmental scholarships for which applicants are automatically considered on accepting an offer of a place.
Further opportunities for financial support are occasionally available. The department encourages and offers financial support for conference and workshop attendance.
Scholarships relevant to this department are displayed below.
- Fees, maintenance and travel (Duration of programme)
- Based on academic merit
- Deadline: 10 January (for application of admission to UCL)
- UK/EU rate fees, a maintenance stipend, conference costs and professional development package (3 years)
- Based on both academic merit and financial need
For a comprehensive list of the funding opportunities available at UCL, including funding relevant to your nationality, please visit the Scholarships and Funding website.
Recent graduates have taken up academic posts at universities such as UCL, Michigan, Sheffield, Mexico, Kyoto, California State; others have joined the financial services industry with companies such as Barclays Capital, Schroders, Deloitte, ABN Amro and J. P. Morgan; and others have become mathematics teachers and computer programmers. Some students have summer secondments, with two recent ones at the Department of Business, Innovation and Skills.
Many students go on to careers in financial services in the City; many others proceed to postdoctoral research and academic careers.
Students closely interact with their peers from other London universities via the London Taught Course Centre, which offers a programme of advanced courses in mathematics and statistics one day a week for PhD research students in the region, as well as short intensive courses open to students from elsewhere in the UK and Europe. They attend the departmental postgraduate seminar run by the students for the students, as well as other seminars both within and outside the department. The students are exposed to a vigorous conferences programme. Conferences recently hosted by the department include a conference on contact geometry and the British Applied Mathematics Colloquium.
Why study this degree at UCL?
The department offers a unique combination of outstanding research supervision and a rich community of students. It is sufficiently large for wide-ranging research activity but remains compact enough for academic staff to be highly accessible.
UCL’s role in the London School of Geometry and Number Theory (LSGNT) and London Taught Course Centre, as well as numerous intercollegiate seminars, ensures that students are firmly integrated into the wider mathematical community.
Some PhD projects are supervised jointly with industrial partners, or with other UCL departments or by interdisciplinary centres, with a unique critical mass of interdisciplinary activities at UCL.
What our students and staff say
"Many of the world's top researchers visit London because of its strength in geometry and mathematics in general, so I have been able to network with top names in the field, leading to long-lasting connections and collaborations."
Dr Jason LotayI am currently co-supervising a PhD student who is based in Cambridge and also supervising a fourth-year project in Mathematics.
Lecturer in Pure Mathematics
"I have particularly enjoyed our weekly postgraduate seminars, where fellow PhD students give an overview of their general research area. An incredibly broad range of mathematics research takes place in the department, so it's great to find out more about it in an informal setting."
Anna LambertMathematics MPhil/PhD
"Out of all the places I applied to, UCL was the only Math Department I knew which was offering Teaching Assistantships at the time.I am grateful to have been given exactly that - I lectured a course for two years, thoroughly enjoyed it."
Belgin SeymenogluMathematics MPhil/ PhD
Application and next steps
Students are advised to apply as early as possible due to competition for places. Those applying for scholarship funding (particularly overseas applicants) should take note of application deadlines.
Deadlines and start dates are usually dictated by funding arrangements so check with the department or academic unit to see if you need to consider these in your application preparation. In most cases you should identify and contact potential supervisors before making your application. For more information see our How to apply page.
For more information see our Applications page.Apply now
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