• Thumbnail for Shing-Tung Yau
    Shing-Tung Yau (/jaʊ/; Chinese: 丘成桐; pinyin: Qiū Chéngtóng; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical...
    114 KB (10,314 words) - 19:09, 5 April 2024
  • Thumbnail for Calabi–Yau manifold
    conjectured that such surfaces might exist, and Shing-Tung Yau (1978) who proved the Calabi conjecture. Calabi–Yau manifolds are complex manifolds that are generalizations...
    24 KB (3,192 words) - 21:01, 27 March 2024
  • theory. It is named after mathematicians Eugenio Calabi and Shing-Tung Yau. After Calabi–Yau manifolds had entered physics as a way to compactify extra...
    43 KB (5,361 words) - 20:28, 29 January 2024
  • differential equations, and geometric measure theory. Richard Schoen and Shing-Tung Yau, in 1979 and 1981, were the first to give proofs of the positive mass...
    22 KB (3,567 words) - 23:01, 9 November 2023
  • Thumbnail for Shiing-Shen Chern
    the largest and most prominent mathematical institutes in the world. Shing-Tung Yau was one of his PhD students during this period, and he later won the...
    54 KB (6,146 words) - 10:54, 22 February 2024
  • types of the underlying real 4-manifold. It was proved independently by Shing-Tung Yau (1977, 1978) and Yoichi Miyaoka (1977), after Antonius Van de Ven (1966)...
    10 KB (1,151 words) - 06:41, 22 August 2021
  • Thumbnail for Geometric analysis
    1980s fundamental contributions by Karen Uhlenbeck, Clifford Taubes, Shing-Tung Yau, Richard Schoen, and Richard Hamilton launched a particularly exciting...
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  • Thumbnail for Richard S. Hamilton
    of which are in the field of geometric flows. In 1986, Peter Li and Shing-Tung Yau discovered a new method for applying the maximum principle to control...
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  • Thumbnail for Sacred geometry
    in the geometric underpinnings of the cosmos. Harvard mathematician Shing-Tung Yau expressed a belief in the centrality of geometry in 2010: "Lest one...
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  • Thumbnail for List of geometers
    Mikhail Gromov (1943–) Rudy Rucker (1946–) William Thurston (1946–2012) Shing-Tung Yau (1949–) Michael Freedman (1951–) Egon Schulte (1955–) – polytopes George...
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  • complex manifolds, made by Eugenio Calabi (1954, 1957). It was proved by Shing-Tung Yau (1977, 1978), who received the Fields Medal and Oswald Veblen Prize...
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  • number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau, who posed it as the 88th entry in his 1982 list of open problems in...
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  • Thumbnail for Shiu-Yuen Cheng
    and a number of works with Shing-Tung Yau. Many of Cheng and Yau's works formed part of the corpus of work for which Yau was awarded the Fields medal...
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  • Thumbnail for Grigori Perelman
    Perelman refers particularly to alleged efforts of Fields medalist Shing-Tung Yau to downplay Perelman's role in the proof and play up the work of Cao...
    65 KB (6,440 words) - 14:47, 21 April 2024
  • Cochran Calculus. "Early Transcendentals." ISBN 978-0-321-57056-7. Yau, Shing-Tung; Nadis, Steve (2010). The Shape of Inner Space: String Theory and the...
    100 KB (9,874 words) - 21:48, 22 March 2024
  • Thumbnail for Kefeng Liu
    University. He is best known for his collaboration with Bong Lian and Shing-Tung Yau in which they establish some enumerative geometry conjectures motivated...
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  • the case of non-embedded surfaces, both done in collaboration with Shing-Tung Yau. He is an expert on the subject of function theory on complete Riemannian...
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  • and paints an unflattering portrait of the 1982 Fields Medalist Shing-Tung Yau. Yau has disputed the accuracy of the article and threatened legal action...
    19 KB (2,507 words) - 11:54, 14 August 2023
  • string theory. It is named after mathematicians Eugenio Calabi and Shing-Tung Yau. Another approach to reducing the number of dimensions is the so-called...
    123 KB (15,352 words) - 18:50, 24 April 2024
  • University Record. "Shing-Tung Yau". Encyclopædia Britannica Online. Dennis Overbye (2006-10-17). "SCIENTIST AT WORK – Shing-Tung Yau; The Emperor of Math"...
    213 KB (9,884 words) - 21:41, 6 January 2024
  • American mathematician, brother of Shing-Tung Yau Algernon Yau (丘應樺; born 1959), Hong Kong businessperson and polictican Alan Yau (丘德威; born 1962), Hong Kong-born...
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  • Thumbnail for Ricci flow
    differentiable sphere conjecture by Simon Brendle and Richard Schoen. Following Shing-Tung Yau's suggestion[citation needed] that the singularities of solutions of...
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  • County, Guangdong, China. He is the younger brother of Fields Medalist Shing-Tung Yau. After graduating from the Chinese University of Hong Kong, he studied...
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  • Thumbnail for Richard Schoen
    theory of minimal surfaces and harmonic maps. In 1976, Schoen and Shing-Tung Yau used Yau's earlier Liouville theorems to extend the rigidity phenomena found...
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  • Thumbnail for Tian Gang
    D. in mathematics from Harvard University, under the supervision of Shing-Tung Yau. In 1998, he was appointed as a Cheung Kong Scholar professor at Peking...
    32 KB (3,110 words) - 12:08, 20 March 2024
  • {\displaystyle z_{1},z_{2}\in U.} A generalization of this theorem was proved by Shing-Tung Yau in 1973. Osserman, Robert (September 1999). "From Schwarz to Pick to...
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  • Festival in 2001. Calabi-Yau was produced and performed at HERE in 2002. Eugene Calabi and Shing-Tung Yau, for whom Calabi-Yau manifolds are named, attempted...
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  • explains why the gradient estimates due to Shing-Tung Yau (and their developments such as the Cheng-Yau and Li-Yau inequalities) nearly always depend on a...
    35 KB (5,956 words) - 21:44, 21 March 2024
  • Richard Schoen and Shing-Tung Yau in the 1970s, and reproved soon after by Edward Witten with different techniques. Schoen and Yau, and independently...
    35 KB (5,034 words) - 17:59, 18 April 2024
  • mathematics. Indeed, according to the SYZ conjecture of Andrew Strominger, Shing-Tung Yau, and Eric Zaslow, T-duality is closely related to another duality called...
    18 KB (2,420 words) - 15:58, 19 January 2024