课题基金 / 基金详情

National Science Foundation Alan T. Waterman Award

National Science Foundation Alan T. Waterman Award
美国国家科学基金会艾伦·T·沃特曼奖
批准号:
9419534
负责人:
Gang Tian
金额:
$50.0万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1994
资助国家:
美国
项目状态:
已结题
起止时间:
1994-08-01 至 1997-07-31

项目摘要

项目成果

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中文摘要
翻译
纽约大学柯朗数学科学研究所的田刚教授是1994年和第19届美国国家科学基金会年度艾伦·T. 沃特曼奖该奖项颁发给一位有前途的科学家,年龄不超过35岁,由评选委员会、基金会主任和国家科学委员会评判,在其领域处于领先地位。该奖项自1976年起每年颁发一次,以纪念基金会的第一任董事艾伦·T·沃特曼田教授的研究领域是复微分几何和偏微分方程的分析。他所从事的许多深奥而技术上复杂的工作都是由与爱因斯坦的场方程和弦理论有关的数学物理学中的几个基本问题所激发的。他的成就包括:解决了复曲面上Kaehler-Einstein度量的存在性问题,证明了第一类为零的Kaehler-Einstein度量的模空间是非奇异的,利用Kahler-Einstein度量证明了代数流形的稳定性,以及与S.T. Yau,Kaehler-Einstein度量在满足某些正性条件的因子的补上。最近,他在量子上同调和镜像对称问题上的工作,被物理学家认为是推进弦论作为物质和宇宙统一理论的潜在候选者的根本重要性。 该奖项极大地鼓励和带来了这样一个发展中的科学家和他的同行很大的启发。田教授准备在他的领域取得进一步的突破,从而全面推进数学和科学知识。 已经他的贡献,数学物理是非常实质性的相对使命的跨学科研究所赞同的基金会。田教授还将与博士后助理和研究生一起工作,反过来也将帮助他的初级同事的职业发展。田教授作为一名研究数学家的职业生涯符合他作为美国科学基础设施和文化进步的主要贡献者的认可。
英文摘要
Professor Gang Tian of the Courant Institute of Mathematical Sciences of New York University, is the the 1994 and 19th recipient of the National Science Foundation's annual Alan T. Waterman Award. The award is presented to a promising scientist, no more than 35 years of age, who is judged by a selection committee, the Director of the Foundation and the National Science Board, to be in the forefront of his/her field. The award which has been given annually since 1976, is in commemoration of the Foundation's first director, Dr. Alan T. Waterman. Professor Tian's research area is complex differential geometry and the analysis of partial differential equations. Much of the deep and technically intricate work he has pursued has been motivated by several fundamental problems in mathematical physics related to Einstein's field equations and string theory. His accomplishments include the solution of the existence of Kaehler-Einstein metrics on complex surfaces, the proof that the moduli space of Kaehler- Einstein metrics with zero first Chern class is nonsingular, the proof of the stability of algebraic manifolds by using Kahler- Einstein metrics and the systematic study, with S.T. Yau, of Kaehler-Einstein metrics on the complements of divisors satisfying certain positivity conditions. More recently, his work on quantum cohomology and the `mirror symmetry' problem, is considered by physicists to be of fundamental importance in the advancement of string theory as a potential candidate for a unified theory of matter and of the universe. The award greatly encourages and brings much inspiration to such a developing scientist and to his peers. Professor Tian is poised to make further breakthroughs in his field and thus advancing mathematical and scientific knowledge generally. Already his contributions to mathematical physics are very substantial relative to the mission of interdisciplinary research as endorsed by the Foundation. Professor Tian will also be working w ith postdoctoral assistants and graduate students and in turn will be assisting in the development of the careers of his junior colleagues. Professor Tian's career as a research mathematician befits his recognition as a major contributor to the scientific infrastructure and cultural advancement of the United States.
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Geometric equations and geometric applications
  • 批准号:
    1309359
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $48.66万
  • 财政年份:
    2013
  • 负责人:
    Gang Tian
  • 依托单位:
Geometry and Analysis of Manifolds
  • 批准号:
    0804095
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $83.02万
  • 财政年份:
    2008
  • 负责人:
    Gang Tian
  • 依托单位:
GEOMETRIC DIFFERENTIAL EQUATIONS AND APPLICATIONS
  • 批准号:
    0703985
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $33.21万
  • 财政年份:
    2006
  • 负责人:
    Gang Tian
  • 依托单位:
FRG: Collaborative Research: Heat Equations and Geometric Flows in Riemannian and Kaehler Geometry
  • 批准号:
    0735963
  • 项目类别:
    Standard Grant
  • 资助金额:
    $5.18万
  • 财政年份:
    2006
  • 负责人:
    Gang Tian
  • 依托单位:
国内基金
海外基金
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  • 批准号:
    T2241020
  • 项目类别:
    专项项目
  • 资助金额:
    10.00万元
  • 批准年份:
    2022
  • 负责人:
    毛睿
  • 依托单位:
SCIENCE CHINA: Earth Sciences
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  • 批准号:
    61262071
  • 项目类别:
    地区科学基金项目
  • 资助金额:
    46.0万元
  • 批准年份:
    2012
  • 负责人:
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