The Analysis research group from The University of Edinburgh is one of the UK’s top centres for research in the field, especially in linear and nonlinear PDEs and harmonic analysis.
Analysis, Ph.D.
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- AnytimeApplication Deadline
- 36 monthsDuration
- UnknownTuition Fee19000 GBP/yearTuition Fee
About
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 programme at 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
Detailed Programme Facts
- More details: We encourage you to apply at least one month prior to entry so that we have enough time to process your application.
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Starting in
- Good news: You can apply for this programme anytime before its start date.
Always verify the dates on the programme website.
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- Programme intensity
You can choose to do this programme part-time or full-time.
Full-time- Full-time duration 36 months
- Average part-time duration 72 months
- Languages
- English
- Delivery mode On Campus
Programme Structure
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.
In addition to the School’s excellent facilities, as part of the Analysis group you will have access to the activities of the Mathematical Analysis & its Applications (MIGSAA). Through seminars, mini-symposia and training courses, these stimulate and support development of research in analysis and theoretical nonlinear PDEs.
English Language Requirements
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Minimum required score:
6.5The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.
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Minimum required score:
92The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120. Read more about TOEFL iBT ®.
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Academic Requirements
You need the following GPA score:
Required score: Upper Second Class
Applicants for graduate programs must have the equivalent of a bachelor’s degree with a minimum GPA equivalent to Upper Second Class on the UK Honour scale. Admitted applicants typically have an undergraduate GPA of or better on the UK Honour scale. No exam grade should be lower than 4.5 (European grade scale) or D (American grade scale).
Your GPA (Grade Point Average) is calculated using the grades that you received in each course, and is determined by the points assigned to each grade (e.g. for the US grading scale from A-F).
General Requirements
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.Tuition Fee
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International Applies to you
19000 GBP/yearTuition FeeBased on the original amount of 19000 GBP per year and a duration of 36 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.
Home/EU fees have still to be agreed
PhD part-time fees
- Overseas: £9,500
Living costs for Edinburgh
- 725 - 1170 GBP/monthLiving Costs
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Funding
- School of Mathematics Studentships
- Research scholarships for international students
- Principal's Career Development PhD Scholarships
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.
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Together with the ISIC Association and British Council IELTS, Studyportals offers you the chance to receive up to £10000 to expand your horizon and study abroad. We want to ultimately encourage you to study abroad in order to experience and explore new countries, cultures and languages.
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