| 1980-3 | Founder member of editorial board of European Journal of Physics. |
| 1985-7 | Founder member of Science Research Council's Nonlinear Systems Panel. |
| 1986-1998 | Founder member of Scientific Advisory Committee, Bristol Exploratory. |
| 1988-93 | Founder member of editorial board of Nonlinearity. |
| 1989-92 | Founder chairman of Royal Society's Small Grants Scheme (Board A). |
| 1989-1999 | Founder member of Scientific Steering Committee, Isaac Newton Institute for Mathematical Sciences. |
| 1994-present | Member of editorial board of Journal of Physics A. |
| 1996-2001 | Founding member of Scientific Steering Committee of BRIMS (Hewlett-Packard Basic Research Institute for Mathematical Sciences. |
| 1998-2003 | Board of Electors, Lucasian Professorship (Cambridge). |
| 1998-1999 | Member of Royal Society Physical Sciences Awards Committee. |
| 1998-2004 | Founder Member of European Postdoctoral Institute Committee. |
| 1999-present | Founder Member of Editorial Board of Digital Library of Mathematical Functions project (Washington). |
| 1999-present | Adams Prize Committee (Cambridge). |
| 1999-2004 | Advisory Board of Fox Talbot museum of photography (Chairman). |
| 2000-present | Board of Governors, Weizmann Institute, Israel. |
| 2002-2009 | Council of the British Association for the Advancement of Science. |
| 2005 | Chairman of conference IoP2005: Physics, a century after Einstein. |
| 2006-present | Editor, Proceedings A of the Royal Society. |
| 2008-present | Member of Council of the Royal Society |
| 2009-present | Member of Scientific Advisory Committee of Perimeter Institute for Theoretical Physics |
| 2010-present | Advisory Committee of International Institute for Physics, Natal, Brazil |