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Mathematical Physics, Ph.D.

  • Application Deadline
  • 36 months
    Duration
University rank #20 (QS) Edinburgh, United Kingdom
In the Mathematical Physics programme at The University of Edinburgh, 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. 
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Overview

The Mathematical Physics group form The University of Edinburgh 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.

Facilities

You will enjoy excellent facilities, ranging from one of the world’s major supercomputing hubs to generous library provision for research at the leading level, including the new Noreen and Kenneth Murray Library at King’s Buildings.

Students have access to more than 1,400 computers in suites distributed across the University’s sites, many of which are open 24 hours a day. In addition, if you are a research student, you will have your own desk with desktop computer.

We provide all our mathematics postgraduates with access to software packages such as Maple, Matlab and Mathematica. Research students are allocated parallel computing time on ‘Eddie’ – the Edinburgh Compute and Data Facility. It is also possible to arrange use of the BlueGene/Q supercomputer facility if your research requires it.

Detailed Programme Facts

  • Programme intensity

    You can choose to do this programme part-time or full-time.

    Full-time
    • Full-time duration 36 months
    Part-time
    • Average part-time duration 72 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

  • Mathematics is a discipline of high intellect with connections stretching across all the scientific disciplines and beyond, and in Edinburgh you can be certain of thriving in a rich academic setting. Our School is one of the country’s largest mathematics research communities in its own right, but you will also benefit from Edinburgh’s high-level collaborations, both regional and international.
  • Research students will have a primary and secondary supervisor and the opportunity to network with a large and varied peer group. You will be carrying out your research in the company of eminent figures and be exposed to a steady stream of distinguished researchers from all over the world.
  • Our status as one of the most prestigious schools in the UK for mathematics attracts highly respected staff. Many of our 60 current academics are leaders in their fields and have been recognised with international awards.

English Language Requirements

  • Minimum required score:

    92

    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120.

  • Minimum required score:

    6.5

    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Get a free IELTS practice test

Academic Requirements

You need the following GPA score:

Required score: Upper Second Class

Applicants for graduate programs must have the equivalent of a bachelor’s degree with a minimum GPA equivalent to Upper Second Class on the UK Honour scale. Admitted applicants typically have an undergraduate GPA of or better on the UK Honour scale. No exam grade should be lower than 4.5 (European grade scale) or D (American grade scale).

Your GPA (Grade Point Average) is calculated using the grades that you received in each course, and is determined by the points assigned to each grade (e.g. for the US grading scale from A-F).

General 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.

Tuition Fee

  • International

    20100 GBP/year
    Tuition Fee
    Based on the original amount of 20100 GBP per year and a duration of 36 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.

Home/EU fees have still to be agreed

PhD part-time fees

  • Overseas: £10,050

Living costs for Edinburgh

  • 725 - 1170 GBP/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

  • School of Mathematics funding opportunities
  • Research scholarships for international students
  • Principal's Career Development PhD Scholarships

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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