University of Edinburgh: Analysis

InstitutionUniversity of Edinburgh View institution profile
Department School of Mathematics
Study type Research


Our analysis research group is one of the UK’s top centres for research in the field, especially in linear and nonlinear PDEs and harmonic analysis.

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.

We have 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

Doctor of Philosophy - PhD

University of Edinburgh 

 University of Edinburgh Influencing the world since 1583 
The University of Edinburgh is one of the world's top universities, consistently ranked in the world top 50, and ranked 20th in the 2020 QS World University Rankings. Our entrepreneurial and cross-disciplinary culture attracts not only students but also staff from some 156 countries, creating a unique Edinburgh experience.

We provide a stimulating working, learning, and teaching environment with access to excellent facilities and attract the world's best, from Nobel Prize winning laureates to future explorers, pioneers and inventors.

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