Placeholder image for Analysis

Analysis, Ph.D.

  • Application Deadline
  • 36 months
    Duration
University rank #20 (QS) Edinburgh, United Kingdom
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.
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Overview

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

  • Programme intensity

    You can choose to do this programme part-time or full-time.

    Full-time
    • Full-time duration 36 months
    Part-time
    • Average part-time duration 72 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

  • 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.
  • Our status as one of the most prestigious schools in the UK for mathematics attracts highly respected staff. Many of our 60 current academics are leaders in their fields and have been recognised with international awards.

English Language Requirements

  • Minimum required score:

    92

    The 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.

  • Minimum required score:

    6.5

    The 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.

    Get a free IELTS practice test

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

  • International

    20100 GBP/year
    Tuition Fee
    Based on the original amount of 20100 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: £10,050

Living costs for Edinburgh

  • 725 - 1170 GBP/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

  • School of Mathematics funding opportunities
  • 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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