Research course

Algebra and Number Theory

University of Edinburgh · School of Mathematics

Entry requirements

All applicants must meet our general entry and language requirements.

Months of entry

January, December, November, October, September, August, July, June, May, April, March, February

Course content

Our pure mathematics work was ranked by the latest Research Assessment Exercise among the UK’s top five in this field for volume of top-category research.

Many of our staff are the holders of prestigious awards, including 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 lecturers have also presented at the International Congress of Mathematicians, and one is currently an EPSRC Leadership Fellow.

Our research centres on four areas:

  • non-commutative ring theory, especially nil rings, the Jacobson radical, prime and primitive rings, and combinatorial problems in ring theory

  • non-commutative algebraic geometry, particularly representation theory of noetherian rings and quantum algebras, and the growth properties of finitely-generated algebras over fields

  • number theory, with a focus on the study of algebraic integers which are confined

  • representation theory and its applications to algebraic geometry and combinatorics.

Fees and funding

The main funding opportunities are:

* Engineering & Physical Sciences Research Council (EPSRC) Doctoral Training Account
* Overseas Research Studentships

Qualification and course duration


part time
72 months
full time
36 months

Course contact details

Graduate School Administrator
+44 (0) 131 650 5085