Mathematical Physics PhD 36 months PHD Program By The University of Edinburgh |Top Universities
Subject Ranking

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Program Duration

36 monthsProgram duration

Scholarship

YesScholarships

Main Subject Area

MathematicsMain Subject Area

Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

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.

Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

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.

Admission requirements

3 Years
Sep

Tuition fee and scholarships

One of the important factors when considering a master's degree is the cost of study. Luckily, there are many options available to help students fund their master's programme. Download your copy of the Scholarship Guide to find out which scholarships from around the world could be available to you, and how to apply for them.

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We offer almost 400 degrees across 60 different subject areas. Many of these are joint honours degrees, offering the potential for innovative cross-disciplinary subject combinations.

Some of our degrees let you study a single subject in depth, developing a deep understanding of one area. Others feature an open and flexible structure with options to tailor your own studies. This lets you choose whether to experience a wide range of topics before you specialise, or sample multiple subjects in a broader degree.  Our global links offer you possibilities for fieldwork, industry placements and study abroad opportunities, and our research-led, industry-informed teaching incorporates the latest developments in your field.

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As one of Scotland’s four ‘ancient’ universities, many of our full-time degrees in the humanities and social sciences are undergraduate masters qualifications that require four years of study. In science and engineering we offer four-year bachelors degrees or five-year integrated masters. We also offer a smaller number of other qualifications including LLB Law, as well as a few degrees with shorter or longer full-time study durations. These range from three to five or even six years (MBChB Medicine). Depending on your qualifications, you may have the option to start in the second year of some of our science, engineering, biomedical sciences and medical sciences, and art and design degrees. We also offer an expanding range of options for students progressing from a Higher National Certificate or Diploma.

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We appreciate studying here is a significant financial commitment. We awarded more than £10m in undergraduate financial support in 2022/23, and are dedicated to helping students of all ages and social backgrounds enter higher education, regardless of your financial situation.

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