Research course

Mathematical Physics

Institution
University of Edinburgh · School of Physics and Astronomy
Qualifications
PhD

Entry 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.

All applicants must also meet our English language requirements.

Months of entry

September

Course content

We are a multidisciplinary research group with close connections with the School’s Algebra and Geometry & Topology groups.

You’ll benefit from being not only in one of the largest mathematics research groups in the UK but also part of the Edinburgh Mathematical Physics Group – a joint research collective formed in 1999 with Heriot- Watt University and now part of the Maxwell Institute.

The School of Mathematics is a vibrant community of more than 60 academic and related staff supervising 60 students.

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 are the geometry of higher-dimensional black holes and their near-horizon geometries in the context of higher-dimensional generalisations of general relativity.

We’re fascinated by the various manifestations of supersymmetry: in string theory, supergravity and gauge theory. This has led us to several classification results on supersymmetric supergravity backgrounds, including a recent proof of the homogeneity conjecture. In addition we study gauge theoretic moduli spaces using supersymmetry and via integrable systems techniques, displaying an 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.

Information for international students

To find out about the support offered to international student at Edinburgh from arrival to graduation visit: http://www.ed.ac.uk/studying/international

Fees and funding

Visit Scholarships and Student Funding Services at: http://www.ed.ac.uk/student-funding.

Qualification and course duration

PhD

full time
36 months
part time
72 months

Course contact details

Name
Graduate School Administrator
Email
pgresearch@maths.ed.ac.uk
Phone
+44 (0)131 650 5085