Richard S. Ward
|Richard Samuel Ward|
|Born||September 6, 1951|
|Institutions||University of Durham|
|Doctoral advisor||Roger Penrose |
|Notable awards||Whitehead Prize (1989)
Fellow of the Royal Society (2005)
Ward earned his Ph.D. from the University of Oxford in 1977, under the supervision of Roger Penrose. He is most famous for his extension of Penrose's twistor theory to nonlinear cases, which he with Michael Atiyah used to describe instantons by vector bundles on the three-dimensional complex projective space. He has related interests in the theory of monopoles, topological solitons and skyrmions.
Honors and awards
|“||Richard Ward is distinguished for pioneering and elegant research in mathematical physics. He adapted the twistor transform to the self-dual Yang-Mills (SDYM) equation, and with Atiyah constructed general multi-instanton solutions. His discovery of the toroidal BPS two-monopole was a breakthrough in soliton theory. He showed that virtually all known integrable equations arise from SDYM by dimensional and algebraic reductions, allowing a unified solution method. Ward's twistor transform of SDYM, applied to string theory, is leading to striking progress in quantum Yang-Mills theory.||”|
- Twistor geometry and field theory (with Raymond O. Wells Jr), Cambridge University Press 1990
- Integrable systems: twistors, loop groups, and Riemann surfaces (with Nigel Hitchin, Graeme Segal), Oxford, Clarendon Press 1999
Selected academic works
- Ward, R.S. (1977), "On self-dual gauge fields", Physics Letters A, 61 (2): 81–82, doi:10.1016/0375-9601(77)90842-8, MR 0443823.
- Atiyah, M.F.; Ward, R.S. (1977), "Instantons and algebraic geometry", Communications in Mathematical Physics, 55 (2): 117–124, doi:10.1007/BF01626514.
- Ward, R.S.; Tabor, M. (1985), "Integrable and solvable systems, and relations among them", Philosophical Transactions of the Royal Society of London A, 315 (1533): 451–457, doi:10.1098/rsta.1985.0051.
- WARD, Prof. Richard Samuel. Who's Who. 2016 (online Oxford University Press ed.). A & C Black, an imprint of Bloomsbury Publishing plc. (subscription required)
- Richard S. Ward at the Mathematics Genealogy Project
- Staff profile, University of Durham, retrieved 2016-02-27.
- Bulletin of the London Mathematical Society, retrieved 2016-02-27.
- Notices of the AMS - Sept 2005 American Mathematical Society
- "EC/2005/41: Ward, Richard Samuel". The Royal Society. Retrieved 19 March 2016.