The Shaw Prize is established by Sir Run Run Shaw (邵逸夫 1907–), a leader in the media industry in Hong Kong and a long-time philanthropist, to, in the official words, honor "individuals, regardless of race, nationality and religious belief, who have achieved significant breakthrough in academic and scientific research or application, and whose work has resulted in a positive and profound impact on mankind".
The prize is divided into the Prize in Astronomy, the Prize in Life Science and Medicine, and the Prize in Mathematical Sciences. Each prize is awarded annually in the amount of US $1,000,000.
| 2004 | P. James E. Peebles (cosmology) |
| 2005 | Geoffrey Marcy & Michel Mayor |
| 2006 | Saul Perlmutter, Adam Riess, & Brian Schmidt (Discovery of Cosmic Acceleration and Dark or Vacuum Energy) |
| 2004 Prize One | Stanley N. Cohen & Herbert W. Boyer (DNA cloning) Yuet Wai Kan (簡悅威) (DNA polymorphism) |
| 2004 Prize Two | Sir Richard Doll (cancer epidemiology) |
| 2005 | Michael Berridge (calcium signalling) |
| 2006 | Xiaodong Wang (biochemical basis of programmed cell death) |
| 2004 | Shiing-Shen Chern (陳省身 1911–2004) (differential geometry) |
| 2005 | Andrew John Wiles (Proof of Fermat's last theorem) |
| 2006 | David Mumford & Wu Wentsun |
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