- Shing-Tung Yau
Shing-Tung Yau at Harvard Law School dining hall
Born April 4, 1949
Shantou, Guangdong Province, China
Residence U.S. Fields Mathematics Institutions Zhejiang University Alma mater Chinese University of Hong Kong (B.A. 1969)
University of California, Berkeley (Ph. D 1971)
Doctoral advisor Shiing-Shen Chern Doctoral students Richard Schoen (Stanford, 1977)
Jun Li (Stanford, 1989)
Huai-Dong Cao (Princeton, 1986)
Gang Tian (Harvard, 1988)
Lizhen Ji (Northeastern, 1991)
Kefeng Liu (Harvard, 1993)
Notable awards Veblen Prize (1981)
Fields Medal (1982)
Crafoord Prize (1994)
National Medal of Science (1997)
Wolf Prize (2010)
Shing-Tung Yau (Chinese: 丘成桐; pinyin: Qiū Chéngtóng; born April 4, 1949) is a Chinese American mathematician working in differential geometry. He was born in Shantou, Guangdong Province, China into a family of scholars from Jiaoling, Guangdong Province.
Yau's contributions have had an influence on both physics and mathematics. Calabi–Yau manifolds are among the ‘standard toolkit’ for string theorists today. He has been active at the interface between geometry and theoretical physics. His proof of the positive energy theorem in general relativity demonstrated—sixty years after its discovery—that Einstein's theory is consistent and stable. His proof of the Calabi conjecture allowed physicists—using Calabi-Yau compactification—to show that string theory is a viable candidate for a unified theory of nature.
Yau was born in Shantou, Guangdong Province, China with an ancestry in Jiaoling (also in Guangdong) in a family of eight children. When he was only a few months old, his family emigrated to Hong Kong, where they lived first in Yuen Long and then 5 years later in Shatin. When Yau was fourteen, his father Qiuzhen Ying, a philosophy professor, died.
After graduating from Pui Ching Middle School, he studied mathematics at the Chinese University of Hong Kong from 1966 to 1969. Yau went to the University of California, Berkeley in the fall of 1969. At the age of 22, Yau was awarded the Ph.D. degree under the supervision of Shiing-Shen Chern at Berkeley in two years. He spent a year as a member of the Institute for Advanced Study, Princeton, New Jersey, and two years at the State University of New York at Stony Brook. Then he went to Stanford University.
Since 1987, he has been at Harvard University, where he has had numerous Ph.D. students. He is also involved in the activities of research institutes in Hong Kong and China. He takes an interest in the state of K-12 mathematics education in China, and his criticisms of the Chinese education system, corruption in the academic world in China, and the quality of mathematical research and education, have been widely publicized.
Contributions to mathematics
Work on conjectures
Yau's solution of the Calabi conjecture, concerning the existence of an Einstein-Kähler metric, has far-reaching consequences. The existence of such a canonical unique metric allows one to give explicit representatives of characteristic classes. Calabi-Yau manifolds are now fundamental in string theory, where the Calabi conjecture provides an essential piece in the model.
In algebraic geometry, the Calabi conjecture implies the Miyaoka-Yau inequality on Chern numbers of surfaces, a characterization of the complex projective plane and quotients of the two-dimensional complex unit ball, an important class of Shimura varieties.
Yau also made a contribution in the case that the first Chern number c1 > 0, and conjectured its relation to the stability in the sense of geometric invariant theory in algebraic geometry. This has motivated the work of Simon Donaldson on scalar curvature and stability. Another important result of Donaldson-Uhlenbeck-Yau is that a holomorphic vector bundle is stable (in the sense of David Mumford) if and only if there exists an Hermitian-Yang-Mills metric on it. This has many consequences in algebraic geometry, for example, the characterization of certain symmetric spaces, Chern number inequalities for stable bundles, and the restriction of the fundamental groups of a Kähler manifold.
Positive mass conjecture and existence of black holes
Yau pioneered the method of using minimal surfaces to study geometry and topology. By an analysis of how minimal surfaces behave in space-time, Yau and Richard Schoen proved the long-standing conjecture that the total mass in general relativity is positive.
This theorem implies that flat space-time is stable, a fundamental issue for the theory of general relativity. Briefly, the positive mass conjecture says that if a three-dimensional manifold has positive scalar curvature and is asymptotically flat, then a constant that appears in the asymptotic expansion of the metric is positive. A continuation of the above work gives another result in relativity proved by Yau, an existence theorem for black holes. Yau and Schoen continued their work on manifolds with positive scalar curvature, which led to Schoen's final solution of the Yamabe problem.
Yau and William H. Meeks solved the well-known question whether the Douglas solution of a minimal disk for an external Jordan curve, the Plateau problem, in three space, is always embedded if the boundary curve is a subset of a convex boundary. They then went on to prove that these embedded minimal surfaces are equivariant for finite group actions. Combining this work with a result of William Thurston, Cameron Gordon assembled a proof of the Smith conjecture: for any cyclic group acting on a sphere, the set of fixed points is not a knotted curve.
Hermitian Yang–Mills connection and stable vector bundles
Yau and Karen Uhlenbeck proved the existence and uniqueness of Hermitian–Einstein metrics (or equivalently Hermitian Yang–Mills connections) for stable bundles on any compact Kähler manifold, extending an earlier result of Donaldson for projective algebraic surfaces, and M. S. Narasimhan and C. S. Seshadri for algebraic curves. Both the results and methods of this paper have been influential in parts of both algebraic geometry and string theory. This result is now usually called the Donaldson-Uhlenbeck-Yau Theorem.
Yau and Yum-Tong Siu proved the 1981 Frankel conjecture in complex geometry, stating that any compact positively-curved Kähler manifold is biholomorphic to complex projective space. An independent proof was given by Shigefumi Mori, using methods of algebraic geometry in positive characteristic.
With Bong Lian and Kefeng Liu, Yau proved mirror formulas conjectured by string theorists. These formulas give the explicit numbers of rational curves of all degrees in a large class of Calabi–Yau manifolds, in terms of the Picard–Fuchs equations of the corresponding mirror manifolds.
New methods and concepts
Gradient estimates and Harnack inequalities
Yau developed the method of gradient estimates for Harnack's inequalities. This method has been used and refined by him and other people to attack for example, bounds on the heat kernel. Early in 1981, Yau suggested to Richard Hamilton that he use the Ricci flow to realize naturally the canonical decomposition of a three-dimensional manifold into pieces, each of which has a geometric structure, in the Thurston program. Hamilton amplified their results, to what is now called the Li–Yau–Hamilton inequality for the Ricci flow equations.
Gradient estimates were also used crucially in Yau's joint work with S. Y. Cheng to give a complete proof of the higher dimensional Hermann Minkowski problem and the Dirichlet problem for the real Monge–Ampère equation, and other results on the Kähler-Einstein metric of bounded pseudoconvex domains.
Uniformization of complex manifolds
When Yau was a graduate student, he started to generalize the uniformization theorem of Riemann surfaces to higher-dimensional complex Kähler manifolds. For a compact manifold with positive bisectional curvature, the Frankel conjecture proved by Siu and Yau, and independently by Mori, shows that it is complex projective space. Yau proposed a series of conjectures when the manifold is non-compact, and made contributions towards their solutions. For example, when the bisectional curvature is positive, it must be biholomorphic to Cn.
Harmonic maps and rigidity
When Yau was working on his thesis about manifolds with non-positive curvature and their fundamental groups, he realized that it is possible to use harmonic maps to give alternative proofs of some results there. He was aware of the Mostow rigidity theorem for locally symmetric spaces, which was used by him to prove the uniqueness of complex structure of quotients of complex balls. He proposed that harmonic maps be used to prove rigidity of the complex structure for Kähler manifolds with strongly negative curvature, a program that was successfully carried out by Yum-Tong Siu. This method, the so-called Siu-Yau method, has been extended to prove strong and super-rigidities of many locally symmetric spaces.
Minimal submanifolds have been used by Yau in the solutions of the Positive Mass Conjecture, the Smith conjecture, the Frankel conjecture, and else. Many people others have since applied minimal surfaces to other problems. Mikhail Gromov's introduction of pseudo-holomorphic curves in symplectic geometry has also had an important impact on that field.
Yau has compiled an influential set of open problems in geometry.
Harmonic functions with controlled growth
One of Yau’s problems is about bounded harmonic functions, and harmonic functions on noncompact manifolds of polynomial growth. After proving non-existence of bounded harmonic functions on manifolds with positive curvatures, he proposed the Dirichlet problem at infinity for bounded harmonic functions on negatively curved manifolds, and then proceeded to harmonic functions of polynomial growth. Dennis Sullivan tells a story about Yau's geometric intuition, and how it led him to reject an analytical proof of Sullivan's. Michael Anderson independently found the same result about bounded harmonic function on simply connected negatively curved manifolds using a geometric convexity construction.
Rank rigidity of nonpositively curved manifolds
Again motivated by Mostow's strong rigidity theorem, Yau called for a notion of rank for general manifolds extending the one for locally symmetric spaces, and asked for rigidity properties for higher rank metrics. Advances in this direction have been made by Ballmann, Brin and Eberlein in their work on non-positive curved manifolds, Gromov's and Eberlein's metric rigidity theorems for higher rank locally symmetric spaces and the classification of closed higher rank manifolds of non-positive curvature by Ballmann and Burns-Spatzier. This leaves rank 1 manifolds of non-positive curvature as the focus of research. They behave more like manifolds of negative curvature, but remain poorly understood in many regards.
Kähler–Einstein metrics and stability of manifolds
It is known that if a complex manifold has a Kähler–Einstein metric, then its tangent bundle is stable. Yau realized early in 1980s that the existence of special metrics on Kähler manifolds is equivalent to the stability of the manifolds. Various people including Simon Donaldson have made progress to understand such a relation.
He has collaborated with string theorists including Strominger, Vafa and Witten, and as post-doctorals from theoretical physics with B. Greene, E. Zaslow and A. Klemm . The Strominger-Yau-Zaslow program is to construct explicitly mirror manifolds. David Gieseker wrote of the seminal role of the Calabi conjecture in relating string theory with algebraic geometry, in particular for the developments of the SYZ program, mirror conjecture and Yau-Zaslow conjecture.
Initiatives in mainland China and Taiwan
Yau was born in China but grew up in Hong Kong. After the door of China was opened to the west in the late 1970s, Yau revisited China in 1979 on the invitation of Hua Luogeng.
To help develop Chinese mathematics, Yau started by educating students from China, then establishing mathematics research institutes and centers, organizing conferences at all levels, initiating out-reach programs, and raising private funds for these purposes. John Coates has commented on Yau's success as fundraiser. The first of Yau's initiatives is The Institute of Mathematical Sciences at The Chinese University of Hong Kong in 1993. The goal is to “organize activities related to a broad variety of fields including both pure and Applied mathematics, scientific computation, image processing, mathematical physics and statistics. The emphasis is on interaction and linkages with the physical sciences, engineering, industry and commerce.”
The second one is the Morningside Center of Mathematics in Beijing, established in 1996. Part of the money for the building and regular operations was raised by Yau from the Morningside Foundation in Hong Kong. Yau proposed organizing the International Congress of Chinese Mathematicians, now held every three years. The first congress was held at the Morningside Center from December 12 to 18, 1998. The third is the Center of Mathematical Sciences at Zhejiang University. It was established in 2002. Yau is the director of all these three math institutes and visits them on a regular basis.
Yau went to Taiwan to attend a conference in 1985. In 1990, he was invited by Dr. C.-S. Liu, then the President of National Tsinghua University, to visit the university for a year. A few years later, he convinced Liu, by then the chairman of National Science Council, to create the National Center of Theoretical Sciences (NCTS), which was established at Hsinchu in 1998. He was the chairman of the Advisory Board of the NCTS until 2005 and was followed by H. T. Yau of Harvard University.
His classmate at college Y.-C.Siu speaks of Yau as an ambassador of mathematics. In Hong Kong, with the support of Ronnie Chan, Yau set up the Hang Lung Award for high school students. He has also organized and participated in meetings for high school and college students, for example, the panel discussions Why Math? Ask Masters! in Hangzhou, July 2004, and The Wonder of Mathematics in Hong Kong, December 2004. Yau organized the JDG conference surveying developments in geometry and related fields, and the annual Current development of mathematics conference. Yau also co-initiated a series of books on popular mathematics, "Mathematics and Mathematical People".
Honors and awards
Yau has received numerous honors and awards in his life, including:
Prizes and awards
- 1979, California Scientist of the Year.
- 1981, Oswald Veblen Prize in Geometry.
- 1981, John J. Carty Award for the Advancement of Science, United States National Academy of Sciences.
- 1982, Fields Medal, for"his contributions to partial differential equations, to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge-Ampère equations".
- 1984, Science Digest, Americia’s 100 Brightest Scientists under 40.
- 1991, Humboldt Research Award, Alexander von Humboldt Foundation, Germany.
- 1994, Crafoord Prize.
- 1997, United States National Medal of Science.
- 2003, China International Scientific and Technological Cooperation Award, for “his outstanding contribution to PRC in aspects of making progress in sciences and technology, training researchers”.
- 2010, Wolf Prize in Mathematics, for "his work in geometric analysis and mathematical physics".
- 1975-1976, Sloan Fellow.
- 1982, Guggenheim Fellowship.
- 1984-1985, MacArthur Fellow.
- Honorary Professor, Hunan Normal University (appointed on Dec 22, 2009).
- Honorary Professor, Northwest University (appointed on Jul 15, 2009).
- Honorary Professor, North University of China (appointed on Jun 18, 2009).
- Honorary Professor, Huazhong University of Science and Technology (appointed on Jan 15, 2006).
- Honorary Professor, University of Science and Technology of China (appointed in 1999).
- Honorary Professor, Peking University (appointed in 1998).
- Honorary Professor, Zhejiang University (appointed in 1998).
- Honorary Professor, Nankai University (appointed in 1993).
- Honorary Professor, Tsinghua University (appointed in 1987).
- Honorary Professor, Hangzhou University (appointed in 1987).
- Honorary Professor, Fudan University (appointed in 1983).
- Honorary Degree of Doctor of Science, The Chinese University of Hong Kong (1981)
- Honorary Master of Arts, Harvard University (1987)
- Honorary Degree of Doctor of Science, National Central University (Jul 9, 1993)
- Honorary Degree of Doctor of Science, National Chiao Tung University, Taiwan (1997)
- Honorary Degree of Doctor of Science, National Tsing Hua University, Taiwan (2000)
- Doctor of Science honoris causa, The University of Macau (2002)
- Honorary Doctorate, Zhejiang University (Mar 25, 2003).
- Doctor of Science honoris causa, The Hong Kong University of Science and Technology (Aug 26, 2004)
- Doctor of Science, Polytechnic University in Brooklyn, New York (2005)
- Doctor of Science, National Taiwan University (2005)
- Doctor of Science, Lehigh University (2009)
- Doctor of Science, National Cheng Kung University (2010)
- Doctor of Mathematics, University of Waterloo (Jun 17, 2011)
- Foreign Member, National Academy of Lincei of Italy (elected in 2005)
- Foreign Member, Russian Academy of Sciences (elected in 2003).
- Foreign member, Chinese Academy of Sciences (elected in 1995).
- Member, United States National Academy of Science (elected in 1993).
- Academician, Academic Sinica (elected in 1984).
- Member, American Academy of Arts and Sciences (elected in 1982).
- Honorary Member, Academic Committee of the Institute of Mathematics, Chinese Academy of Sciences (elected in 1980).
- Fellow, American Association for the Advancement of Science.
- Fellow, Society for Industrial and Applied Mathematics.
- Fellow, American Physical Society.
- Member, Boston Academy of Arts and Sciences.
- Member, New York Academy of Science.
- Honorary Fellow, Shaw College of The Chinese University of Hong Kong.
- Fellow, American Mathematical Society (elected in 1971)
Poincaré conjecture controversy
In August 2006, a New Yorker article on the Poincaré conjecture, "Manifold Destiny", discussed Yau's relationship to that famous problem. The printed edition had a cartoon showing Yau as trying to steal Grigori Perelman's Fields Medal. Perelman is quoted saying that he is disappointed with the ethical standards of the field of mathematics. The article implies that Perelman refers particularly to the efforts of Fields medalist Shing-Tung Yau to downplay Perelman's role in the proof and play up the work of Cao and Zhu. Yau stated: “Chinese mathematicians should have every reason to be proud of such a big success in completely solving the puzzle.” Perelman stated of Yau, "I can't say I'm outraged. Other people do worse. Of course, there are many mathematicians who are more or less honest. But almost all of them are conformists. They are more or less honest, but they tolerate those who are not honest." Yau claimed that this article was defamatory, and in September 2006 he established a public relations website, managed by the public relations firm Spector & Associates, to dispute points in it and demand an apology. Some mathematicians, including two quoted in the New Yorker article, posted letters of support.
On October 17, 2006, a more sympathetic profile of Yau appeared in the New York Times. It devoted about half its length to the Perelman affair. The article stated that Yau had alienated some colleagues, but represented Yau's position as that Perelman's proof was not generally understood and he "had a duty to dig out the truth of the proof." 
- 2010. (with Steve Nadis) The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions. Basic Books. ISBN 978-0465020232.
- ^ "Department of Mathematics faculty, Harvard University". http://math.harvard.edu/people/YauShing-Tung.html.
- ^ a b c d e Page at Center of Mathematical Sciences at Zhejiang University
- ^ "YAU, SHING-TUNG" (php). International Center for Scientific Research. http://www.cirs-tm.org/researchers/researchers.php?id=350. Retrieved Jan 1, 2009.
- ^ "John J. Carty Award for the Advancement of Science". United States National Academy of Sciences. http://www.nasonline.org/site/PageServer?pagename=AWARDS_carty. Retrieved Jan 1, 2009.
- ^ “...for his development of non-linear techniques in differential geometry leading to the solution of several outstanding problems.”
- ^ Malkah Fleisher, Winners of Prestigious Wolf Prize Announced
- ^ "丘成桐受聘西北大学名誉教授" (in (Chinese)) (shtml). Chinese Academy of Sciences. 2009-07-15. http://www.cas.cn/ys/gzdt/200907/t20090715_2302503.shtml. Retrieved Jan 1, 2009.
- ^ "著名数学家丘成桐受聘我校荣誉教授" (in (Chinese)) (shtml). North University of China. 2009-6-18. http://news.nuc.edu.cn/News/20090618230651.html. Retrieved Jan 1, 2009.
- ^ 靖咏安 (2006-01-15). "中科院外籍院士丘成桐受聘我校名誉教授" (in (Chinese)) (shtml). Huazhong University of Science and Technology. http://news.hustonline.net/Html/2006-1-15/27055.shtml. Retrieved Jan 1, 2009.
- ^ "國立中央大學名譽博士頒授" (in (Chinese)). National Central University. http://sec.ncu.edu.tw/degree/index.html. Retrieved Jan 1, 2009.
- ^ joeelou (Created: 2009-08-09 09:10, Modified: 2009-08-19 17:58). "Honorary Degrees and Titles" (in (Chinese)(English)) (pdf). The University of Macau. http://www.umac.mo/reg/UMCalendar/appendices/%2812%29A-HDT.pdf. Retrieved Jan 1, 2009.
- ^ "著名数学家丘成桐获浙江大学名誉博士学位" (in (Chinese)) (php). Zhejiang University News Agency. 2003年03月25日 14:41. http://www.news.zju.edu.cn/news.php?id=4311. Retrieved Jan 1, 2009.
- ^ "Distinguished Leaders to be Awarded Honorary Doctorates" (pdf). The Hong Kong University of Science and Technology (HKUST). August 26, 2004. http://www.ust.hk/eng/news/archive/e_pa040826-1026.pdf. Retrieved Jan 1, 2009.
- ^ "Colleges" (in (Chinese)(English)) (pdf). Information Services Office, The Chinese University of Hong Kong. Created: 2007-10-15 16:03, Modified: 2007-11-01 11:19. http://www.cuhk.edu.hk/iso/calendar/2007-08/English/pdf/StaffList_colleges.pdf. Retrieved Jan 1, 2009.
- ^ Manifold Destiny: A legendary problem and the battle over who solved it 
- ^ Manifold Destiny: A legendary problem and the battle over who solved it 
- ^ Yau's website, with information on his legal action and letter to The New Yorker
- ^ Dennis Overbye (17 October 2006). "Shing-tung Yau: The Emperor of Math". New York Times. http://www.nytimes.com/2006/10/17/science/17yau.html.
- ^ Famous scientist slams academic corruption in China, China View (Xinhua), 17 August 2006. Retrieved on 2008-08-05.
- Discover Magazine Interview, June 2010 issue
- Interview (11 pages long in Traditional Chinese)
- Yau's autobiographical account (mostly English, some Chinese)
- O'Connor, John J.; Robertson, Edmund F., "Shing-Tung Yau", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Yau.html .
- Shing-Tung Yau at the Mathematics Genealogy Project.
- Banquet photos
- Yau's website, with information on his legal action and letter to The New Yorker
- Yau's Public Relations agent, Spector and Associates
- Richard S Hamilton' Letter to Yau Shing-Tung' Attorney on September 25, 2006
- Plugging A Math Gap
- UC Irvine courting Yau with a $2.5 million professorship
- International Conference Celebrating Shing Tung Yau's Birthday 8/27/2008-9/1/2008 Harvard University
Laureates of the Wolf Prize in Mathematics
- Israel Gelfand / Carl L. Siegel (1978)
- Jean Leray / André Weil (1979)
- Henri Cartan / Andrey Kolmogorov (1980)
- Lars Ahlfors / Oscar Zariski (1981)
- Hassler Whitney / Mark Krein (1982)
- Shiing-Shen Chern / Paul Erdős (1983/4)
- Kunihiko Kodaira / Hans Lewy (1984/5)
- Samuel Eilenberg / Atle Selberg (1986)
- Kiyoshi Itō / Peter Lax (1987)
- Friedrich Hirzebruch / Lars Hörmander (1988)
- Alberto Calderón / John Milnor (1989)
- Ennio de Giorgi / Ilya Piatetski-Shapiro (1990)
- Lennart Carleson / John G. Thompson (1992)
- Mikhail Gromov / Jacques Tits (1993)
- Jürgen Moser (1994/5)
- Robert Langlands / Andrew Wiles (1995/6)
- Joseph Keller / Yakov G. Sinai (1996/7)
- László Lovász / Elias M. Stein (1999)
- Raoul Bott / Jean-Pierre Serre (2000)
- Vladimir Arnold / Saharon Shelah (2001)
- Mikio Sato / John Tate (2002/3)
- Grigory Margulis / Sergei Novikov (2005)
- Stephen Smale / Hillel Fürstenberg (2006/7)
- Pierre Deligne / Phillip A. Griffiths / David B. Mumford (2008)
- Dennis Sullivan / Shing-Tung Yau (2010)
United States National Medal of Science laureates Behavioral and social science1960s1980s1990s2000s Biological sciences1960s
1963: C. B. van Niel · 1964: Marshall W. Nirenberg · 1965: Francis P. Rous · George G. Simpson · Donald D. Van Slyke · 1966: Edward F. Knipling · Fritz Albert Lipmann · William C. Rose · Sewall Wright · 1967: Kenneth S. Cole · Harry F. Harlow · Michael Heidelberger · Alfred H. Sturtevant · 1968: Horace Barker · Bernard B. Brodie · Detlev W. Bronk · Jay Lush · Burrhus Frederic Skinner · 1969: Robert Huebner · Ernst Mayr1970s
1970: Barbara McClintock · Albert B. Sabin · 1973: Daniel I. Arnon · Earl W. Sutherland, Jr. · 1974: Britton Chance · Erwin Chargaff · James V. Neel · James Augustine Hannon · 1975: Hallowell Davis · Paul Gyorgy · Sterling Brown Hendricks · Orville lvin Vogel · 1976: Roger C.L. Guillemin · Keith Roberts Porter · Efraim Racker · E. O. Wilson · 1979: Robert H. Burris · Elizabeth C. Crosby · Arthur Kornberg · Severo Ochoa · Earl Reece Stadtman · George Ledyard Stebbins · Paul Alfred Weiss1980s
1981: Philip Handler · 1982: Seymour Benzer · Glenn W. Burton · Mildred Cohn · 1983: Howard L. Bachrach · Paul Berg · Wendell L. Roelofs · Berta Scharrer · 1986: Stanley Cohen · Donald A. Henderson · Vernon B. Mountcastle · George Emil Palade · Joan A. Steitz · 1987: Michael E. Debakey · Theodor O. Diener · Harry Eagle · Har Gobind Khorana · Rita Levi-Montalcini · 1988: Michael S. Brown · Stanley Norman Cohen · Joseph L. Goldstein · Maurice R. Hilleman · Eric R. Kandel · Rosalyn Sussman Yalow · 1989: Katherine Esau · Viktor Hamburger · Philip Leder · Joshua Lederberg · Roger W. Sperry · Harland G. Wood1990s
1990: Baruj Benacerraf · Herbert W. Boyer · Daniel E. Koshland, Jr. · Edward B. Lewis · David G. Nathan · E. Donnall Thomas · 1991: Mary Ellen Avery · G. Evelyn Hutchinson · Elvin A. Kabat · Salvador Luria · Paul A. Marks · Folke K Skoog · Paul C. Zamecnik · 1992: Maxine Singer · Howard M. Temin · 1993: Daniel Nathans · Salome G. Waelsch · 1994: Thomas Eisner · Elizabeth F. Neufeld · 1995: Alexander Rich · 1996: Ruth Patrick · 1997: James D. Watson · Robert A. Weinberg · 1998: Bruce Ames · Janet Rowley · 1999: David Baltimore · Jared Diamond · Lynn Margulis2000s
2000: Nancy C. Andreasen · Peter H. Raven · Carl Woese · 2001: Francisco J. Ayala · Mario R. Capecchi · Ann M. Graybiel · Gene E. Likens · Victor A. McKusick · Harold Varmus · 2002: James E. Darnell · Evelyn M. Witkin · 2003: J. Michael Bishop · Solomon H. Snyder · Charles Yanofsky · 2004: Norman E. Borlaug · Phillip A. Sharp · Thomas E. Starzl · 2005: Anthony Fauci · Torsten N. Wiesel · 2006: Rita R. Colwell · Nina Fedoroff · Lubert Stryer · 2007: Robert J. Lefkowitz · Bert W. O'Malley · 2008: Francis S. Collins · Elaine Fuchs · J. Craig Venter · 2009: Susan L. Lindquist · Stanley B. Prusiner
1982: F. Albert Cotton · Gilbert Stork · 1983: Roald Hoffmann · George C. Pimentel · Richard N. Zare · 1986: Harry B. Gray · Yuan Tseh Lee · Carl S. Marvel · Frank H. Westheimer · 1987: William S. Johnson · Walter H. Stockmayer · Max Tishler · 1988: William O. Baker · Konrad E. Bloch · Elias J. Corey · 1989: Richard B. Bernstein · Melvin Calvin · Rudoph A. Marcus · Harden M. McConnell1990s
1990: Elkan Blout · Karl Folkers · John D. Roberts · 1991: Ronald Breslow · Gertrude B. Elion · Dudley R. Herschbach · Glenn T. Seaborg · 1992: Howard E. Simmons, Jr. · 1993: Donald J. Cram · Norman Hackerman · 1994: George S. Hammond · 1995: Thomas Cech · Isabella L. Karle · 1996: Norman Davidson · 1997: Darleane C. Hoffman · Harold S. Johnston · 1998: John W. Cahn · George M. Whitesides · 1999: Stuart A. Rice · John Ross · Susan Solomon2000s
2000: John D. Baldeschwieler · Ralph F. Hirschmann · 2001: Ernest R. Davidson · Gabor A. Somorjai · 2002: John I. Brauman · 2004: Stephen J. Lippard · 2006: Marvin H. Caruthers · Peter B. Dervan · 2007: Mostafa A. El-Sayed · 2008: Joanna S. Fowler · JoAnne Stubbe · 2009: Stephen J. Benkovic · Marye Anne Fox
1962: Theodore von Kármán · 1963: Vannevar Bush · John Robinson Pierce · 1964: Charles S. Draper · 1965: Hugh L. Dryden · Clarence L. Johnson · Warren K. Lewis · 1966: Claude E. Shannon · 1967: Edwin H. Land · Igor I. Sikorsky · 1968: J. Presper Eckert · Nathan M. Newmark · 1969: Jack St. Clair Kilby1970s
1970: George E. Mueller · 1973: Harold E. Edgerton · Richard T. Whitcomb · 1974: Rudolf Kompfner · Ralph Brazelton Peck · Abel Wolman · 1975: Manson Benedict · William Hayward Pickering · Frederick E. Terman · Wernher von Braun · 1976: Morris Cohen · Peter C. Goldmark · Erwin Wilhelm Müller · 1979: Emmett N. Leith · Raymond D. Mindlin · Robert N. Noyce · Earl R. Parker · Simon Ramo1980s
1982: Edward H. Heinemann · Donald L. Katz · 1983: William R. Hewlett · George M. Low · John G. Trump · 1986: Hans Wolfgang Liepmann · T. Y. Lin · Bernard M. Oliver · 1987: R. Byron Bird · H. Bolton Seed · Ernst Weber · 1988: Daniel C. Drucker · Willis M. Hawkins · George W. Housner · 1989: Harry George Drickamer · Herbert E. Grier1990s
1990: Mildred S. Dresselhaus · Nick Holonyak Jr. · 1991: George Heilmeier · Luna B. Leopold · H. Guyford Stever · 1992: Calvin F. Quate · John Roy Whinnery · 1993: Alfred Y. Cho · 1994: Ray W. Clough · 1995: Hermann A. Haus · 1996: James L. Flanagan · C. Kumar N. Patel · 1998: Eli Ruckenstein · 1999: Kenneth N. Stevens2000s
Mathematical, statistical, and computer sciences1960s1970s1980s1990s
1990: George F. Carrier · Stephen Cole Kleene · John McCarthy · 1991: Alberto Calderón · 1992: Allen Newell · 1993: Martin David Kruskal · 1994: John Cocke · 1995: Louis Nirenberg · 1996: Richard Karp · Stephen Smale · 1997: Shing-Tung Yau · 1998: Cathleen Synge Morawetz · 1999: Felix Browder · Ronald R. Coifman2000s
1963: Luis W. Alvarez · 1964: Julian Schwinger · Harold Clayton Urey · Robert Burns Woodward · 1965: John Bardeen · Peter Debye · Leon M. Lederman · William Rubey · 1966: Jacob Bjerknes · Subrahmanyan Chandrasekhar · Henry Eyring · John H. Van Vleck · Vladimir K. Zworykin · 1967: Jesse Beams · Francis Birch · Gregory Breit · Louis Hammett · George Kistiakowsky · 1968: Paul Bartlett · Herbert Friedman · Lars Onsager · Eugene Wigner · 1969: Herbert C. Brown · Wolfgang Panofsky1970s
1970: Robert H. Dicke · Allan R. Sandage · John C. Slater · John A. Wheeler · Saul Winstein · 1973: Carl Djerassi · Maurice Ewing · Arie Jan Haagen-Smit · Vladimir Haensel · Frederick Seitz · Robert Rathbun Wilson · 1974: Nicolaas Bloembergen · Paul Flory · William Alfred Fowler · Linus Carl Pauling · Kenneth Sanborn Pitzer · 1975: Hans A. Bethe · Joseph Hirschfelder · Lewis Sarett · E. Bright Wilson · Chien-Shiung Wu · 1976: Samuel Goudsmit · Herbert S. Gutowsky · Frederick Rossini · Verner Suomi · Henry Taube · George Uhlenbeck · 1979: Richard P. Feynman · Herman Mark · Edward M. Purcell · John Sinfelt · Lyman Spitzer · Victor F. Weisskopf1980s
1982: Philip W. Anderson · Yoichiro Nambu · Edward Teller · Charles H. Townes · 1983: E. Margaret Burbidge · Maurice Goldhaber · Helmut Landsberg · Walter Munk · Frederick Reines · Bruno B. Rossi · J. Robert Schrieffer · 1986: Solomon Buchsbaum · Horace Crane · Herman Feshbach · Robert Hofstadter · Chen Ning Yang · 1987: Philip Abelson · Walter Elsasser · Paul C. Lauterbur · George Pake · James A. Van Allen · 1988: D. Allan Bromley · Paul Ching-Wu Chu · Walter Kohn · Norman F. Ramsey · Jack Steinberger · 1989: Arnold O. Beckman · Eugene Parker · Robert Sharp · Henry Stommel1990s
1990: Allan M. Cormack · Edwin M. McMillan · Robert Pound · Roger Revelle · 1991: Arthur L. Schawlow · Ed Stone · Steven Weinberg · 1992: Eugene M. Shoemaker · 1993: Val Fitch · Vera Rubin · 1994: Albert Overhauser · Frank Press · 1995: Hans Dehmelt · Peter Goldreich · 1996: Wallace S. Broecker · 1997: Marshall Rosenbluth · Martin Schwarzschild · George Wetherill · 1998: Don L. Anderson · John N. Bahcall · 1999: James Cronin · Leo Kadanoff2000s
2000: Willis E. Lamb · Jeremiah P. Ostriker · Gilbert F. White · 2001: Marvin L. Cohen · Raymond Davis Jr. · Charles Keeling · 2002: Richard Garwin · W. Jason Morgan · Edward Witten · 2003: G. Brent Dalrymple · Riccardo Giacconi · 2004: Robert N. Clayton · 2005: Ralph A. Alpher · Lonnie Thompson · 2006: Daniel Kleppner · 2007: Fay Ajzenberg-Selove · Charles P. Slichter · 2008: Berni Alder · James E. Gunn · 2009: Yakir Aharonov · Esther M. Conwell · Warren M. Washington
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Shing-Tung Yau — an der Harvard University Shing Tung Yau (kant. 丘成桐, Yale: Yau1 Sing4 Tung4; Pinyin: Qīu Chéngtóng; * 4. April 1949 in Shantou, Guangdong) ist ein … Deutsch Wikipedia
Shing-tung yau — à Harvard Shing Tung Yau, né le 4 avril 1949, est un mathématicien connu pour ses travaux en géométrie différentielle, et est aussi à l origine de la théorie des variétés de Calabi Yau. Il est né à Shantou dans la province de … Wikipédia en Français
Shing-Tung Yau — à Harvard Shing Tung Yau, né le 4 avril 1949, est un mathématicien chinois connu pour ses travaux en géométrie différentielle, et est aussi à l origine de la théorie des variétés de Calabi Yau. Il est né à Shantou dans la province de Guangdong … Wikipédia en Français
Shing-Tung Yau — (Shantou, 4 de abril de 1949) es un matemático estadounidense nacido en China, conocido por sus trabajos en la geometría diferencial y en la variedad de Calabi Yau. Estudió matemáticas en la Universidad de Hong Kong de … Wikipedia Español
Yau, Shing-Tung — ▪ Chinese mathematician born April 4, 1949, Swatow, China Chinese born mathematician who was awarded the Fields Medal in 1983 for his work in differential geometry. Yau received a Ph.D. from the University of California, Berkeley, in… … Universalium
Yau — is the Cantonese transcription of the Chinese lastname 邱 (traditional Chinese) or 丘 (simplified Chinese). Its mandarin transcription (pinyin) is Qiu.Persons surnamed Yau*Alan Yau (b. 1962), an English restaurateur *Benny Yau (b. 1980), Canadian… … Wikipedia
Yau — ist der Name von Horng Tzer Yau (*1959) US amerikanisch taiwanesischer Physiker John Yau (* 1950), US amerikanischer Dichter, Essayist, Prosaautor und Kunstkritiker Shing Tung Yau (* 1949), chinesischer Mathematiker Yau Tsz Yuk (* 1976),… … Deutsch Wikipedia
Tung Chee Hwa — est un nom asiatique ; le nom de famille, Tung, précède donc le prénom. Tung Chee Hwa (chinois : 董建華) né le 7 juillet 1937 à Shanghai (Chine) a été le premier chef exécutif de la Région administrative spéciale de Hong Kong en République … Wikipédia en Français
Tung chee-hwa — est un nom asiatique ; le nom de famille, Tung, précède donc le prénom. Tung Chee Hwa (chinois : 董建華) né le 7 juillet 1937 à Shanghai (Chine) a été le premier chef exécutif de la Région administrative spéciale de Hong Kong en République … Wikipédia en Français
Tung Chee Hwa — This is a Chinese name; the family name is Tung. The Honourable Chee hwa Tung 董建華 GBM … Wikipedia