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吴文俊院士与Mumford教授共同获得2006年邵逸夫奖数学奖



 

邵逸夫奖评审会主席杨振宁6月21日在香港宣布了2006年(第三届)邵逸夫奖得奖名单。中国科学院数学与系统科学研究院研究员吴文俊院士因其"对数学机械化这一新兴交叉领域的贡献",美国布朗大学应用数学系David Mumford教授因其"对数学和模式理论与视觉研究这一新兴交叉领域的贡献",而共同获得邵逸夫奖数学奖,他们将分享一百万美元的奖金。

 邵逸夫奖于2002 年设立,以表彰在学术及科学研究或应用获得突破成果,和该成果对人类生活产生意义深远影响的科学家。目前在数学科学、天文学、生命科学与医学领域设有3个奖项,每年颁奖一次,每项奖金100万美元。现代微分几何学的奠基者陈省身(S.S.Chern)教授、费马大定理的终结者怀尔斯(A. Wiles)教授分别获得第一、二届邵逸夫数学奖。

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邵逸夫奖数学科学委员会和邵逸夫奖基金会对获奖人工作的评述

(转自邵逸夫奖官方网站)

 

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

(转自邵逸夫奖官方网站)

 

相关报道:吴文俊院士荣获邵逸夫数学奖 路甬祥表示祝贺

(转自《科学时报》)

 

被媒体誉为"21世纪东方诺贝尔奖" 每项奖金100万美元

吴文俊成为首位获得此项国际性金價大奖的国内学者

邵逸夫奖评审会主席杨振宁6月21日在中国香港宣布了2006年度(第三届)邵逸夫奖获得者名单。中国科学院数学与系统科学研究院吴文俊院士由于"对数学机械化这一新兴交叉学科的贡献"荣获2006年度邵逸夫数学奖。与吴文俊院士同时获得数学奖的还有美国布朗大学教授、1974年菲尔茨奖获得者大卫·曼福德教授。这是中国国内学者首次获得此项国际性大奖。现代微分几何学的奠基者陈省身(S.S.Chern)教授、费马大定理的终结者怀尔斯(A.Wiles)教授分别获得第一、第二届邵逸夫数学奖。

6月22日,全国人大常委会副委员长、中国科学院院长路甬祥以贺信的方式向吴文俊院士表示祝贺。路甬祥在贺信中赞扬吴文俊院士"辛勤的努力和杰出的贡献,获得了国际学术界的广泛认可,为我国科技界争得了荣誉,也为青年学者树立了榜样"。他希望吴文俊院士"一如既往地关心我国和我院数学研究事业,关心和指导青年后学,保持健康的身体和愉悦的精神,为我国科学事业发展、为建设创新型国家继续作出贡献"。

吴文俊院士是我国著名数学家。他于上世纪50年代对数学的主要领域——拓扑学作出了杰出贡献。70年代后期,吴文俊开创了崭新的数学机械化领域。他建立了用计算机证明几何定理的"吴方法",实现了高效几何定理自动证明;提出了"吴消元法",为代数与微分方程组结构确定与符号求解提供了完整的方法。吴文俊还将自己的理论应用于计算机图形学、机器人、机构设计、全局优化、化学平衡、天体运行等领域的问题。吴文俊曾获首届国家自然科学一等奖(1956年),第三世界科学院数学奖(1990年),陈嘉庚数理科学奖(1993年),首届香港求是科技基金会杰出科学家奖(1994年),Herbrand自动推理杰出成就奖(1997年),首届国家最高科技奖(2000年)。

此次获奖的科学家一共六名,其中还包括另一名华人科学家王晓东。他获得了邵逸夫生命科学与医学奖。今年43岁的王晓东目前在美国德州大学西南医学中心任终身教授,并在著名的霍华德休斯敦研究所担任研究员。他发现了细胞按程序凋亡的生物化学基础,而细胞按程序凋亡是平衡细胞生成和防止癌症的关键步骤。

被媒体誉为"21世纪东方诺贝尔奖"的邵逸夫奖是按照邵逸夫先生意愿于2002年设立的,以表彰在学术及科学研究或应用等方面获得突破性成果,和该成果对人类生活产生深远影响的科学家。目前在数学、天文学、生命科学与医学领域设有三个奖项,每年颁发一次,每项奖金100万美元。此次天文学奖颁给了普密特、利斯及施米兹三人。他们的研究发现,宇宙膨胀的速度在增加,显示为即使没有物质与任何辐射,空间的能量密度仍然大于零。

 据悉,吴文俊院士将与其他获奖者一道,于9月12日到香港领奖,并发表公开演讲。

                                 (转自《科学时报》)


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