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Algebra and Number Theory, Ph.D.

  • Application Deadline
  • 36 months
    Duration
University rank #20 (QS) Edinburgh, United Kingdom
The Algebra and Number Theory research group from The University of Edinburgh is made up of international leaders in the field who have won between them the European Mathematical Society Prize, the Whitehead Prize of the London Mathematical Society, the Waclaw Sierpinski Prize of the Polish Academy of Sciences and the Berwick Prize of the London Mathematical Society.
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Overview

Our members have given invited lectures at both the International Congress of Mathematicians and the European Congress of Mathematicians.

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

Much of our research is related to the areas of geometry and topology, and mathematical physics, which has lead to the formation of the Hodge Institute:

Through the School’s membership of the Maxwell Institute, we present regular seminars, and run our own informal seminars and colloquia. We also serve on editorial boards of various international journals.

All of the PhD students in Algebra and Number Theory research group from The University of Edinburgh take part in international conferences and symposia, and in part thanks to this global exposure, many have gone on to postdoctoral positions throughout the world.

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

Our research centres on the following areas:

  • non-commutative ring theory
  • non-commutative algebraic geometry
  • the geometry of algebraic numbers
  • Lie-theoretic representation theory
  • quantum algebra
  • category theory

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.
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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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