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The University of Edinburgh: Analysis

Institution The University of Edinburgh View institution profile
Department School of Mathematics
Web https://www.ed.ac.uk/studying
Study type Research

Summary

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

Edinburgh. Extraordinary futures await.

The University of Edinburgh is one of the world's top universities, consistently ranked in the world top 50, and placed 22nd in the 2024 QS World University Rankings.

Our position as one of Britain’s leading research universities was reaffirmed by the results of the 2021 Research Excellence Framework (REF). The University of Edinburgh is one of the world’s top research-intensive universities, ranked 4th in the UK for research power (Times Higher Education, Overall Ranking of Institutions), with 90% of our research activity classified as world leading or internationally excellent in the 2021 Research Excellence Framework.

Our …

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