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Course summary

Our algebra and number theory research group 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. 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. 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
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 our PhD students 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.


See our website for detailed programme information.

How to apply

International applicants

This course has a subject classification which requires students whose nationality is outside the European Economic Area (EEA) or Switzerland to have an ATAS certificate, irrespective of country of residence at the point of application.

Further information can be found on the UK Government's website:

Entry requirements

Entry requirements for individual programmes vary, so please check the details for the specific programme you wish to apply for on our website. You will also need to meet the University’s language requirements.

Fees and funding

Tuition fees

No fee information has been provided for this course

Additional fee information

Tuition fees vary between degree programmes. Find the specific fees for your chosen programme on our website.
Algebra at The University of Edinburgh - UCAS