Research course

Algebra and Number Theory

University of Edinburgh · School of Mathematics

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.

Months of entry


Course content

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.

Qualification and course duration


part time
72 months
full time
36 months

Course contact details

Graduate School Administrator
+44 (0) 131 650 5085