Analysis at The University of Edinburgh - UCAS

Course options

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Course 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


See our website for detailed programme information.

How to apply

International applicants

This course has a subject classification which requires students whose nationality is outside the European Economic Area (EEA) or Switzerland to have an ATAS certificate, irrespective of country of residence at the point of application.

Further information can be found on the UK Government's website:

Entry requirements

Entry requirements for individual programmes vary, so please check the details for the specific programme you wish to apply for on our website. You will also need to meet the University’s language requirements.

Fees and funding

Tuition fees

No fee information has been provided for this course

Additional fee information

Tuition fees vary between degree programmes. Find the specific fees for your chosen programme on our website.
Analysis at The University of Edinburgh - UCAS