The following are the top 20 schools in the official RAE survey in 2008.

Pure mathematics, pure mathematics

1 London Imperial College London

2 Warwick University

University of Oxford

4 Cambridge University

5 Bristol University

Joint course of Edinburgh University and Heriot Watt University

7 Bath University

King's College

University of Aberdeen

10 University of Manchester

1 1 University College London

12 Durham university

13 University of East Anglia

14 University of Sheffield

15 University of Glasgow

16 University of Birmingham

17 University of Nottingham

18 Queen Mary College London

19 Loughborough University

20 University of Exeter

applied mathematics

1 Cambridge University

University of Oxford

3 Warwick University

4 Bristol University

5 University of St Andrews

6 University of Manchester

7 Bath University

Imperial college London

Nottingham University

10 Portsmouth University

1 1 Durham University

12 University of Southampton

13 University of Surrey

14 Courses jointly organized by Edinburgh University and Heriot Watt University

15 king's college London

16 University of Liverpool

17 Newcastle University

18 Kiel University

19 University of Leeds

20 University of Exeter

Note: Don't read business rankings such as The Times or The Guardian. Their main basis is also based on this RAE. RAE represents the real level of the school and is the official data. University funding is also based on this.