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Encyclopedia > Gang Tian
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Gang Tian (Chinese: 田刚; pinyin: Tián Gāng; 1958 -) is a Chinese mathematician and an academician of the Chinese Academy of Sciences. He is known for his contributions to geometric analysis and quantum cohomology, among other fields. He was born in Nanjing, China, but now divides his time between Princeton University and Peking University. Image File history File links Zhongwen. ... Chinese (written) language (pinyin: zhōngw n) written in Chinese characters The Chinese language (汉语/漢語, 华语/華語, or 中文; Pinyin: H nyǔ, Hu yǔ, or Zhōngw n) is a member of the Sino-Tibetan family of languages. ... Pinyin is a system of romanization (phonemic notation and transcription to Roman script) for Standard Mandarin, where pin means spell and yin means sound. The most common variant of pinyin in use is called Hanyu Pinyin (Simplified Chinese: , Traditional Chinese: ; pinyin: HànyÇ” PÄ«nyÄ«n), also known as scheme... To meet Wikipedias quality standards, this article or section may require cleanup. ... The title Academician denotes a Full Member of an art, literary, or scientific academy. ... The Chinese Academy of Sciences (Chinese: 中国科学院; pinyin: Zhōngguó KÄ“xuéyuàn), formerly known as Academia Sinica (not to be confused with Taiwans Academia Sinica currently headquartered in Taipei which shares the same root), is the national academy for the natural sciences of the Peoples Republic of... Nanjing (Chinese: 南京 [ ]; Romanizations: NánjÄ«ng (Pinyin) , Nan-ching (Wade-Giles), Nanking (Postal System Pinyin) ) is the capital of Chinas Jiangsu Province and a city with a prominent place in Chinese history and culture. ... Princeton University is a coeducational private university located in Princeton, New Jersey. ... Peking University (Traditional Chinese: 北京大學; Simplified Chinese: 北京大学; pinyin: BÄ›ijÄ«ng Dàxué), colloquially known in Chinese as Beida (北大, BÄ›idà), was established in 1898, and is one of the oldest and most prestigious universities in China. ...

Contents

Biography

Tian graduated from Nanjing University in 1982, and received a master's degree from Peking University in 1984. In 1988, he received a PhD in mathematics from Harvard University, after having studied under Shing-Tung Yau. In 1998, he was appointed as a Cheung Kong Scholar professor at the School of Mathematical Sciences at Peking University, under the "Cheung Kong Scholars Programme" (长江计划) of the Ministry of Education. Later his appointment was changed to Cheung Kong Scholar chair professorship. He is a mathematics professor at Princeton University. He was awarded the Waterman Prize in 1994, and the Veblen prize in 1996. Nanjing University (南京大学, 南京大學, Pinyin: NánjÄ«ng Dàxué; colloquially 南大, Pinyin Nándà) is one of the oldest higher learning institutions in the world, and became the first modern Chinese university in the early 1920s. ... A masters degree is an academic degree usually awarded for completion of a postgraduate (or graduate) course of one to three years in duration. ... PhD usually refers to the academic title Doctor of Philosophy PhD can also refer to the manga Phantasy Degree This is a disambiguation page — a list of pages that otherwise might share the same title. ... Euclid, Greek mathematician, 3rd century BC, known today as the father of geometry; shown here in a detail of The School of Athens by Raphael. ... Harvard redirects here. ... Shing-Tung Yau at Harvard Law School dining hall Shing-Tung Yau (Chinese: ; pinyin: QiÅ« Chéngtóng; born April 4, 1949) is a prominent mathematician working in differential geometry, and involved in the theory of Calabi-Yau manifolds. ... The Peoples Republic of China State Education Commission, headquartered in Beijing, is the PRC agency of the State Council which regulates all aspects of the educational system in mainland China. ... The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology. ...


Mathematical contributions

Much of Tians earlier work was about the existence of Kähler-Einstein metrics on complex manifolds. In particular he solved the existence question for Kähler-Einstein metrics on complex surfaces, and showed that hypersurfaces with a Kähler-Einstein metric are stable in the sense of geometric invariant theory. Consider an m-dimensional manifold M with metric tensor g. ... In differential geometry, a complex manifold is a manifold such that every neighborhood looks like the complex n-space. ... In mathematics, the Enriques-Kodaira classification is a classification of compact complex surfaces. ... In mathematics, geometric invariant theory in algebraic geometry is a (technically complex) development building on nineteenth century invariant theory. ...


He also (jointly with Y. Ruan) showed that the quantum cohomology ring of a symplectic manifold is associative.


In 2006, he, together with John Morgan of Columbia University, gave a detailed proof of the Poincaré Conjecture, and thus helped to verify the proof by Grigori Perelman.[1] Columbia University is a private university whose main campus lies in the Morningside Heights neighborhood of the Borough of Manhattan in New York City. ... In mathematics, the Poincaré conjecture (IPA: [])[1] is a conjecture about the characterization of the three-dimensional sphere amongst three-dimensional manifolds. ... Grigori Yakovlevich Perelman (Russian: ), born 13 June 1966 in Leningrad, USSR (now St. ...


Controversy

In 2005, the so-called "Tian-Yau affair" broke out. This was discussed in the New Yorker article Manifold destiny [2], The Emperor of Math [3] and Science magazine [4]. The Tian-Yau affair was a dispute concerning several Chinese mathematicians that took place between August and October 2005. ... New Yorker may refer to: the magazine, The New Yorker a resident of New York City the hotel New Yorker a named passenger train operated by the Pennsylvania Railroad between Detroit, MI and New York, NY This is a disambiguation page — a navigational aid which lists other pages that... Manifold Destiny[1] is an article in The New Yorker written by Sylvia Nasar and David Gruber, published in the August 28, 2006 issue of the magazine, but made available online around August 21, 2006. ... Science is the journal of the American Association for the Advancement of Science (AAAS). ...


External links

The Mathematics Genealogy Project is a web-based database that gives an academic genealogy based on dissertation supervision relations. ...

References

  1. ^ Morgan, John W., Gang Tian (25 July 2006). "Ricci Flow and the Poincaré Conjecture". arXiv:math.DG/0607607.
  2. ^ Sylvia Nasar and David Gruber,Manifold Destiny: A legendary problem and the battle over who solved it.", The New Yorker, 21 August 2006
  3. ^ DENNIS OVERBYE,[http://www.nytimes.com/2006/10/17/science/17yau.html?_r=1&oref=slogin&pagewanted=all The Emperor of Math.]", The New Yorker, October 17, 2006.
  4. ^ Science Magazine,Frustrations Mount Over China High-Priced Hunt for Trophy Professors.".

  Results from FactBites:
 
Gang Tian - Wikipedia, the free encyclopedia (298 words)
Gang Tian (Chinese: 田刚; pinyin: Tián Gāng; 1958 -) is a Chinese mathematician and an academician of the Chinese Academy of Sciences.
In 2006, he, together with John Morgan of Columbia University, posted a paper on the arXiv, in which they claimed to provide a "detailed proof of the Poincaré Conjecture", and thus contribute to the verification of the proof by Grigori Perelman.
Tian graduated from Nanjing University in 1982, and was awarded a master's degree from Peking University in 1984.
  More results at FactBites »

 
 

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