Your passion for mathematical analysis will be rewarded by contact with, and supervision by, world-leading academic staff, a rich seminar and working group programme and ultimately a qualification that boasts an internationally respected pedigree.
The School of Mathematics is a vibrant community of more than 60 academic and related staff supervising 60 students.
The Analysis research group from The University of Edinburgh has a unique focus on the interplay of classical Euclidean harmonic analysis with the modern theory of PDEs. We study harmonic analytic ideas in number theory, geometric measure theory, combinatorics, and discrete geometry and geometrically invariant inequalities; and we investigate applications of harmonic analysis to elliptic and parabolic PDEs with rough coefficients and/or on rough domains.
We also study:
- nonlinear hyperbolic, dispersive and kinetic equations and systems arising in the classical field theories of mathematical physics, mathematical biology and, in connection with black holes, mathematical general relativity
- free-boundary problems, optimal mass transportation and Monge-Ampère equations in nonlinear elasticity and other continuum theories
- well-posedness for supercritical initial value problems with noisy initial data
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.
- 36 months
- 72 months
Start dates & application deadlines
- StartingApply anytime.
DisciplinesMathematics Applied Mathematics Statistics View 16 other PhDs in Statistics in United Kingdom
- 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.
International21150 GBP/yearTuition FeeBased on the tuition of 21150 GBP per year during 36 months.
National4500 GBP/yearTuition FeeBased on the tuition of 4500 GBP per year during 36 months.
PhD part-time fees
- Overseas: £10,575
- Home: £2,250
Living costs for Edinburgh
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.
Apply and win up to €10000 to cover your tuition fees.
Updated in the last 6 months
Check the official programme website for potential updates.