邵逸夫獎評審會主席楊振寧6月21日在香港宣佈瞭2006年（第三屆）邵逸夫獎得獎名單。中國科學院數學與系統科學研究院研究員吳文俊院士因其“對數學機械化這一新興交叉領域的貢獻”，美國佈朗大學應用數學系David Mumford教授因其“對數學和模式理論與視覺研究這一新興交叉領域的貢獻”，而共同獲得邵逸夫獎數學獎，他們將分享一百萬美元的獎金。
邵逸夫獎於2002 年設立，以表彰在學術及科學研究或應用獲得突破成果，和該成果對人類生活產生意義深遠影響的科學傢。目前在數學科學、天文學、生命科學與醫學領域設有3個獎項，每年頒獎一次，每項獎金100萬美元。現代微分幾何學的奠基者陳省身(S.S.Chern)教授、費馬大定理的終結者懷爾斯（A. Wiles）教授分別獲得第一、二屆邵逸夫數學獎。
相關鏈接：
邵逸夫獎數學科學委員會和邵逸夫獎基金會對獲獎人工作的評述
（轉自邵逸夫獎官方網站）
David Mumford and Wu Wentsun both started their careers in pure mathematics (algebraic geometry and topology respectively) but each then made a substantial move towards applied mathematics in the direction of computer science.
Mumford worked on computer aspects of vision and Wu on computer proofs in the field of Geometry. In both cases their pioneering contributions to research and in the development of the field were outstanding. Many leading scientists in these areas were trained by them or followed in their footsteps.
Mumford's early work, for which he received the Fields Medal in 1974, was in algebraic geometry and especially the study of algebraic curves. This is an old and central subject in mathematics with contributions from many of the great names of the past. Despite this, much remained to be done and Mumford's great achievement was to revitalise and push forward the theory of moduli. Algebraic Curves depend on an important integer, the genus g. For g = 0 the curve is rational, for g = 1 it is elliptic and depends on an additional continuous parameter or modulus. For g > 2 there are 3g-3 moduli, forming a (complicated) space whose features give us information about the totality of all curves. Mumford laid the foundations for a systematic and fruitful study of this moduli space. This has been widely influential even, surprisingly, in the physics of string theory.
After two decades in this field, Mumford made a drastic switch to computer vision, where he used his mathematical abilities and insight to make original and fundamental contributions. He helped to provide a conceptual framework and to provide examples of specific solutions that can in principle be generalized to a range of problems. His 1985 paper with Shah on variational approaches to signal processing was recently awarded a prize by the Institute of Electrical and Electronics Engineers (IEEE).
Mumford's many original contributions to pattern theory and vision research were described in his 1999 book Two and Three Dimensional Patterns of the Face (A. K. Peters Co.) and the forthcoming Pattern Theory through Examples.
Wu Wentsun was one of the geometers strongly influenced by Chern Shiing-Shen (Shaw Laureate in 2004). His early work, in the post-war period, centred on the topology of manifolds which underpins differential geometry and the area where the famous Chern classes provide important information. Wu discovered a parallel set of invariants, now called the Wu classes, which have proved almost equally important. Wu went on to use his classes for a beautiful result on the problem of embedding manifolds in Euclidean Space.
In the 1970's Wu turned his attention to questions of computation, in particular the search for effective methods of automatic machine proofs in geometry. In 1977 Wu introduced a powerful mechanical method, based on Ritt's concept of characteristic sets. This transforms a problem in elementary geometry into an algebraic statement about polynomials which lends itself to effective computation.
This method of Wu completely revolutionized the field, effectively provoking a paradigm shift. Before Wu the dominant approach had been the use of AI search methods, which proved a computational dead end. By introducing sophisticated mathematical ideas Wu opened a whole new approach which has proved extremely effective on a wide range of problems, not just in elementary geometry.
Wu also returned to his early love, topology, and showed how the rational homotopy theory of Dennis Sullivan could be treated algorithmically, thus uniting the two areas of his mathematical life.
In his 1994 Basic Principles in Mechanical Theorem Proving in Geometry (Springer), and his 2000 Mathematics Mechanization (Science Press), Wu described his revolutionary ideas and subsequent developments. Under his leadership Mathematics Mechanization has expanded in recent years into a rapidly growing discipline, encompassing research in computational algebraic geometry, symbolic computation, computer theorem proving and coding theory.
Although the mathematical careers of Mumford and Wu have been parallel rather than contiguous they have much in common. Beginning with the traditional mathematical field of geometry, contributing to its modern development and then moving into the new areas and opportunities which the advent of the computer has opened up, they demonstrate the breadth of mathematics. Together they represent a new role model for mathematicians of the future and are deserved winners of the Shaw Prize.
The Shaw Prize in Mathematical Sciences Committee
The Shaw Prize Foundation
（轉自邵逸夫獎官方網站）
相關報道：吳文俊院士榮獲邵逸夫數學獎 路甬祥表示祝賀
（轉自《科學時報》）
被媒體譽為“21世紀東方諾貝爾獎” 每項獎金100萬美元
吳文俊成為首位獲得此項國際性大獎的國內學者
邵逸夫獎評審會主席楊振寧6月21日在中國香港宣佈瞭2006年度（第三屆）邵逸夫獎獲得者名單。中國科學院數學與系統科學研究院吳文俊院士由於“對數學機械化這一新興交叉學科的貢獻”榮獲2006年度邵逸夫數學獎。與吳文俊院士同時獲得數學獎的還有美國佈朗大學教授、1974年菲爾茨獎獲得者大衛·曼福德教授。這是中國國內學者首次獲得此項國際性大獎。現代微分幾何學的奠基者陳省身(S.S.Chern)教授、費馬大定理的終結者懷爾斯（A.Wiles）教授分別獲得第一、第二屆邵逸夫數學獎。
6月22日，全國人大常委會副委員長、中國科學院院長路甬祥以賀信的方式向吳文俊院士表示祝賀。路甬祥在賀信中贊揚吳文俊院士“辛勤的努力和傑出的貢獻，獲得瞭國際學術界的廣泛認可，為我國科技界爭得瞭榮譽，也為青年學者樹立瞭榜樣”。他希望吳文俊院士“一如既往地關心我國和我院數學研究事業，關心和指導青年後學，保持健康的身體和愉悅的精神，為我國科學事業發展、為建設創新型國傢繼續作出貢獻”。
吳文俊院士是我國著名數學傢。他於上世紀50年代對數學的主要領域——拓撲學作出瞭傑出貢獻。70年代後期，吳文俊開創瞭嶄新的數學機械化領域。他建立瞭用計算機證明幾何定理的“吳方法”，實現瞭高效幾何定理自動證明；提出瞭“吳消元法”，為代數與微分方程組結構確定與符號求解提供瞭完整的方法。吳文俊還將自己的理論應用於計算機圖形學、機器人、機構設計、全局優化、化學平衡、天體運行等領域的問題。吳文俊曾獲首屆國傢自然科學一等獎(1956年)，第三世界科學院數學獎(1990年)，陳嘉庚數理科學獎(1993年)，首屆香港求是科技基金會傑出科學傢獎(1994年)，Herbrand自動推理傑出成就獎(1997年)，首屆國傢最高科技獎(2000年)。
此次獲獎的科學傢一共六名，其中還包括另一名華人科學傢王曉東。他獲得瞭邵逸夫生命科學與醫學獎。今年43歲的王曉東目前在美國德州大學西南醫學中心任終身教授，並在著名的霍華德休斯敦研究所擔任研究員。他發現瞭細胞按程序凋亡的生物化學基礎，而細胞按程序凋亡是平衡細胞生成和防止癌癥的關鍵步驟。
被媒體譽為“21世紀東方諾貝爾獎”的邵逸夫獎是按照邵逸夫先生意願於2002年設立的，以表彰在學術及科學研究或應用等方面獲得突破性成果，和該成果對人類生活產生深遠影響的科學傢。目前在數學、天文學、生命科學與醫學領域設有三個獎項，每年頒發一次，每項獎金100萬美元。此次天文學獎頒給瞭普密特、利斯及施米茲三人。他們的研究發現，宇宙膨脹的速度在增加，顯示為即使沒有物質與任何輻射，空間的能量密度仍然大於零。
據悉，吳文俊院士將與其他獲獎者一道，於9月12日到香港領獎，並發表公開演講。
（轉自《科學時報》）
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