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Shing-Tung Yau (/ j aʊ /; Chinese: 丘成桐; pinyin: Qiū Chéngtóng; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and Professor Emeritus at Harvard University. Until 2022, Yau was the William Caspar Graustein Professor of Mathematics at Harvard, at ...
Feb 19, 2019 · Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe.
Shing-Tung Yau has revolutionized the broad eld of geometric analysis by combining partial di er-ential equations with di erential geometry and applying geometric analysis to algebraic geometry.
Shing-Tung Yau is a Chinese mathematician who won a Fields Medal for his work on differential geometry and partial differential equations. He has also received other prestigious mathematical prizes such as the Wolf Prize and the Shaw Prize.
- Curvature and Gravity
- Gravity in A Vacuum?
- Calabi's Question
- Yau's Answer
- Hiding Dimensions
- String Future
- Further Reading
An early indication that space is more than just a backdrop for physics came in 1915 when Albert Einstein formed his theory of general relativity. Einstein was working with a four-dimensional spacetime, made up of the three spatial dimensions we're used to and an extra dimension for time. His revolutionary insight was that gravity wasn't some invis...
When Yau first learned about general relativity he realised that it posed an interesting theoretical question: could there be a spacetime which contains no matter, a vacuum, in which there still is gravity? The spacetime we live in is not the only one that's possible in terms of general relativity. Einstein's field equations, which describe relativ...
There's no end to the variety of topological shapes you could think of, but topologists usually restrict their attention to what are called manifolds. These are objects that when viewed from up close, look like the ordinary "flat" space (called Euclidean space) we are used to. Spheres and doughnuts, for example, locally look like the flat 2D plane....
When Yau first started working on this question in the early 1970s he was primarily motivated by geometry, though, as he tells us, "it was always at the back of my mind that this would be interesting for physics: the construction of a closed universe [the compact manifold] that has no matter [since Ricci curvature is zero] but still has gravity [be...
In 1982 Yau received the Fields medal, the highest honour in mathematics, for his resolution of Calabi's conjecture, which has had a major impact on geometry, as well as for other work. What he didn't know until a little later was that Calabi-Yau manifolds were just what some physicists were looking for. "I was in San Diego with my wife one day [in...
With the discovery of Calabi-Yau manifolds and other major advances, string theory experienced a landmark year in 1984. But the story didn't end there. A minor blow came in 1986 when it was discovered that string theory needed a slightly amended version of Calabi-Yau manifolds, whose Ricci curvature wasn't zero, but only very nearly zero. What's mo...
Here is a review of Yau and Nadis' book The shape of inner space. Book details: The shape of inner space Shing-Tung Yau and Steve Nadis Basic Books, September 2010 ISBN: 978-0-465-02023-2
Yau, Shing-Tung. Research Interests: Differential geometry, partial differential equations, topology, and mathematical physics. Department of Mathematics - Harvard University - William Caspar Graustien Professor of Mathematics - Yau Shing Tung, SC 340, (617) 495-0836.
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Mr.Shing-Tung Yau is one of the most influential mathematicians of contemporary times. His outstanding contributions are extensive and profound in the fields of mathematics and...
