Research course

Mathematical Physics

University of Edinburgh · School of Physics and Astronomy

Entry requirements

All applicants must meet our general entry and language requirements.

Months of entry

January, December, November, October, September, August, July, June, May, April, March, February

Course content

We are a multidisciplinary research group with close connections with the School’s Algebra and Geometry & Topology groups. You will benefit not only from participating in one of the largest mathematics research groups in the UK but also as part of the Edinburgh Mathematical Physics Group – a joint research institute formed in 1999 with Heriot-Watt University through the Maxwell Institute.

Our group pursues wide-ranging interests spanning a number of disciplines. A central goal is to understand the principles behind quantum gravity through the study of black holes, cosmologies and spacetime singularities, and via the use of holography and the interplay with quantum gauge field theory through the gauge/gravity correspondence.

Particularly fruitful areas of research in the group are the geometry of higher-dimensional black holes and their near-horizon geometries in the context of higher-dimensional generalisations of General Relativity.

We are fascinated by the various manifestations of supersymmetry, which has led us to study gauge theoretic moduli spaces, often via integrable systems techniques, displaying a beautiful interplay between the algebraic geometry of curves and their associated function theory. This research has led to computer implementations of various algebro- geometric constructions.

Recently we have made progress in some purely mathematical problems suggested by the gauge/gravity correspondence: namely, the classification of certain exotic algebraic structures related to superconformal field theories, as well as that of certain types of homogeneous supergravity backgrounds.

Fees and funding

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Qualification and course duration


full time
36 months
part time
72 months

Course contact details

Postgraduate Secretary
+44 (0) 131 650 5048