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 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

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.

Key information

Duration

Full-time
- 36 months
Part-time
- 72 months

Start dates & application deadlines

Starting 2025-09-09 00:00:00
- Apply before 2025-08-31 00:00:00

Language

English

IELTS

6.5

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TOEFL^® IBT

92

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Delivered

On Campus

Campus Location

Edinburgh, United Kingdom

Disciplines

Mathematics Applied Mathematics Statistics View 85 other PhDs in Mathematics in United Kingdom

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Academic requirements

GPA

Upper Second Class

Pass _{(recommended)}

English requirements

IELTS

6.5

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TOEFL^® IBT

92

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Other requirements

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.

Student insurance

Make sure to cover your health, travel, and stay while studying abroad. Even global coverages can miss important items, so make sure your student insurance ticks all the following:

Additional medical costs (i.e. dental)
Repatriation, if something happens to you or your family
Liability
Home contents and baggage
Accidents
Legal aid

We partnered with Aon to provide you with the best affordable student insurance, for a carefree experience away from home.

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Starting from €0.53/day, free cancellation any time.

Remember, countries and universities may have specific insurance requirements. To learn more about how student insurance work at The University of Edinburgh and/or in United Kingdom, please visit Student Insurance Portal.

Tuition Fee

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International

26300 GBP/year

Tuition Fee

Based on the tuition of 26300 GBP per year during 36 months.
National

4786 GBP/year

Tuition Fee

Based on the tuition of 4786 GBP per year during 36 months.

Living costs for Edinburgh

725 - 1167 GBP /month

Living costs

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

Funding

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Scholarships Information

Below you will find PhD's scholarship opportunities for Analysis.

Available Scholarships

You are eligible to apply for these scholarships but a selection process will still be applied by the provider.

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