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Chinese-American mathematician (born 1949)
Shing-Tung Yau (Chinese: 丘成桐; pinyin: Qiū Chéngtóng; Jyutping: jau1 sing4 tung4; born April 4, 1949) is a Chinese American mathematician and educator.
Shing-Tung_Yau
Riemannian manifold with SU(n) holonomy
always admit Ricci-flat Kähler metrics, and Shing-Tung Yau (1978), who proved the Calabi conjecture. Calabi–Yau manifolds are complex manifolds that are
Calabi–Yau_manifold
Chinese-American mathematician and poet
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
Shiing-Shen_Chern
Mathematical inequality
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)
Bogomolov–Miyaoka–Yau inequality
Bogomolov–Miyaoka–Yau_inequality
Mathematical conjecture
mathematics. The original conjecture was proposed by Andrew Strominger, Shing-Tung Yau, and Eric Zaslow in 1996. Along with the homological mirror symmetry
SYZ_conjecture
Mathematical conjecture
infinitely many 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
Yau's_conjecture
American mathematician (1943–2024)
California, San Diego in the mid-1980s, joining Richard Schoen and Shing-Tung Yau in the group working on geometric analysis. In 1998, Hamilton became
Richard_S._Hamilton
Riemannian metrics, complex manifolds
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
Calabi_conjecture
Mathematics award
from the original on 21 August 2016. Retrieved 18 August 2014. "CV : Shing-Tung Yau" (PDF). Doctoryau.com. Archived from the original on 25 October 2017
Fields_Medal
In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds
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
Mirror symmetry (string theory)
Mirror_symmetry_(string_theory)
American mathematician (born 1950)
received his PhD in 1977 from Stanford University with Leon Simon and Shing-Tung Yau as advisors. After faculty positions at the Courant Institute, NYU,
Richard_Schoen
Russian mathematician (born 1966)
infinite levels after a finite amount of "time" has elapsed. Following Shing-Tung Yau's suggestion that a detailed understanding of these singularities could
Grigori_Perelman
Chinese research institute for mathematics
inaugurated on November 13, 2023, under the leadership of mathematician Shing-Tung Yau. The institute is dedicated to advancing both pure and applied mathematics
Shanghai Institute for Mathematics and Interdisciplinary Sciences
Shanghai_Institute_for_Mathematics_and_Interdisciplinary_Sciences
In mathematics, Yau's conjecture on the first eigenvalue is, as of 2018, an unsolved conjecture proposed by Shing-Tung Yau in 1982. It asks: Is it true
Yau's conjecture on the first eigenvalue
Yau's_conjecture_on_the_first_eigenvalue
Seven mathematical problems with a US$1 million prize for each solution
researchers. Vershik's comments were later echoed by Fields medalist Shing-Tung Yau, who was additionally critical of the idea of a foundation taking actions
Millennium_Prize_Problems
2006 article in The New Yorker magazine
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
Manifold_Destiny
Chinese research institute
Sciences and was initiated by world-renowned mathematician Professor Shing-Tung Yau, director of the Center of Mathematical Sciences at Tsinghua University
Beijing Institute of Mathematical Sciences and Applications
Beijing_Institute_of_Mathematical_Sciences_and_Applications
Chinese-American mathematician
Degeneration of Riemann Surfaces was advised by R. Mark Goresky and Shing-Tung Yau. From 1991 to 1994, Ji was C.L.E. Moore instructor at the Department
Lizhen_Ji
Key result in general relativity
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
Positive_energy_theorem
Chinese-American mathematician
University. He is best known for his collaboration with Bong Lian and Shing-Tung Yau in which they establish some enumerative geometry conjectures motivated
Kefeng_Liu
Chinese-American mathematician
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
Stephen_Shing-Toung_Yau
Branch of mathematics
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
Geometry
Chinese mathematician (born 1958)
mathematics from Harvard University in 1988 under the supervision of Shing-Tung Yau. In 1998, he was appointed as a Cheung Kong Scholar professor at Peking
Tian_Gang
Theory of subatomic structure
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
String_theory
local minimizers of the area functional. In 1976, Shiu-Yuen Cheng and Shing-Tung Yau resolved the Bernstein problem for maximal surfaces of Minkowski space
Maximal_surface
Taiwanese mathematician
representations of discrete groups," was supervised by Fields Medal laureate Shing-Tung Yau. Wang joined the Columbia faculty as an assistant professor in 2001
Mu-Tao_Wang
Surname list
American mathematician, brother of Shing-Tung Yau Algernon Yau (丘應樺; born 1959), Hong Kong businessperson and politician Alan Yau (丘德威; born 1962), Hong Kong-born
Yau_(surname)
Russian mathematician (born 1989)
harmonic analysis and differential geometry that proved conjectures by Shing-Tung Yau and Nikolai Nadirashvili. In 2018 he received the Salem Prize and in
Aleksandr Logunov (mathematician)
Aleksandr_Logunov_(mathematician)
Equivalence of two physical theories
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
T-duality
Hong Kong mathematician
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
Shiu-Yuen_Cheng
Academic journal
algebraic geometry, and geometric topology. The editor-in-chief is Shing-Tung Yau of Harvard University. The journal was established in 1967 by Chuan-Chih
Journal of Differential Geometry
Journal_of_Differential_Geometry
Field of higher mathematics
1980s fundamental contributions by Karen Uhlenbeck, Clifford Taubes, Shing-Tung Yau, Richard Schoen, and Richard Hamilton launched a particularly exciting
Geometric_analysis
and by Yum-Tong Siu and Shing-Tung Yau. In its differential-geometric formulation, as proved by both Mori and by Siu and Yau, the result states that if
Frankel_conjecture
Japanese mathematician
Shing-Tung Yau's work) the Bogomolov–Miyaoka–Yau inequality in an Inventiones Mathematicae paper. In 1984, Miyaoka extended the Bogomolov–Miyaoka–Yau
Yoichi_Miyaoka
Chinese mathematician
his Ph.D. from Princeton University in 1986 under the supervision of Shing-Tung Yau.[citation needed] Cao is a former Associate Director, Institute for
Huai-Dong_Cao
2001 play written by Susanna Speier
Festival in 2001. Calabi-Yau was produced and performed at HERE in 2002. Eugenio Calabi and Shing-Tung Yau, for whom Calabi-Yau manifolds are named, attempted
Calabi-Yau_(play)
Mikhail Gromov (1943–) Rudy Rucker (1946–) William Thurston (1946–2012) Shing-Tung Yau (1949–) Michael Freedman (1951–) Egon Schulte (1955–) – polytopes George
List_of_geometers
such as Fields Medalist Shing-Tung Yau, Kai Lai Chung, Alice Chang, among others. The Congress is sponsored by Shing-Tung Yau and Hong Kong entrepreneur
International Congress of Chinese Mathematicians
International_Congress_of_Chinese_Mathematicians
Chinese mathematician
his Ph.D. from Harvard University in 1989, under the supervision of Shing-Tung Yau. Li was an invited speaker at the 1994 ICM. He received a Morningside
Jun_Li_(mathematician)
American theoretical physicist
While the original proof of this result due to Richard Schoen and Shing-Tung Yau used variational methods, Witten's proof used ideas from supergravity
Edward_Witten
Australian mathematician
mathematics from Princeton University in 1983, where his advisor was Shing-Tung Yau. He then had postdoctoral positions at New York University and Stanford
Robert_Bartnik
Mathematical research center based in China
Hangzhou, Zhejiang. The center was mainly founded by the Fields Medalist Shing-Tung Yau in August 2002. The first directors and advisors were mathematicians
Center of Mathematical Sciences, Zhejiang University
Center_of_Mathematical_Sciences,_Zhejiang_University
Black hole conjecture
and Shing-Tung Yau proved how much matter must be crammed into a given volume to create a closed trapped surface, sometimes referred as the Schoen–Yau black
Hoop_conjecture
American annual mathematics conference
Gudlaugur Thorbergsson, Isoparametric submanifolds and their Tits buildings Shing-Tung Yau, Some theorems in Kähler geometry Jeff Cheeger, Transgressed Euler classes
Geometry_Festival
American mathematician
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
Peter_Li_(mathematician)
Extension of the Schwarz lemma for hyperbolic geometry
{\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
Schwarz–Ahlfors–Pick_theorem
Measure of curvature in differential geometry
Richard Schoen and Shing-Tung Yau in the 1970s, and reproved soon after by Edward Witten with different techniques. Schoen and Yau, and independently
Scalar_curvature
Negatively-curved minimal surface
with negative Gaussian curvature, and a question of Eugenio Calabi and Shing-Tung Yau about whether there was an immersed complete bounded minimal surface
Nadirashvili_surface
Type of metric in Riemannian geometry
Thierry Aubin and Shing-Tung Yau proved independently. When the first Chern class is zero, there is always a Kähler–Einstein metric, as Yau proved in the
Kähler–Einstein_metric
the Schoen–Yau conjecture is a disproved conjecture in hyperbolic geometry, named after the mathematicians Richard Schoen and Shing-Tung Yau. It was inspired
Schoen–Yau_conjecture
Chinese mathematician
Then Shi was recruited by Shing-Tung Yau to study under him at the University of California, San Diego. In 1987, Shi followed Yau to Harvard University and
Wanxiong_Shi
from some of the most eminent scholars, including Yang Chen-Ning and Shing-Tung Yau. It is a national research center with the goal to contribute to the
National Center for Theoretical Sciences, Physics
National_Center_for_Theoretical_Sciences,_Physics
Pan Chengdong: 1934–1997 Yum-Tong Siu: b. 1943 Peng Shige: b. 1947 Shing-Tung Yau: b. 1949, Fields Medal recipient Yitang Zhang: b. 1955 Gang Tian: b
List of Chinese mathematicians
List_of_Chinese_mathematicians
American mathematical physicist
theoretical physics such as mirror symmetry. With Andrew Strominger and Shing-Tung Yau, he formulated the SYZ conjecture. He was named to the 2021 class of
Eric_Zaslow
Russian-French mathematician
exposition by Peter Buser and Hermann Karcher. In 1979, Richard Schoen and Shing-Tung Yau showed that the class of smooth manifolds which admit Riemannian metrics
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
Algebro-geometric stability condition
Calabi–Yau manifold. The Calabi conjecture was resolved in the case where c 1 ( X ) < 0 {\displaystyle c_{1}(X)<0} by Thierry Aubin and Shing-Tung Yau, and
K-stability
American stunt woman, actress, researcher
parameterization using Riemann surface structure which was coauthored by Shing-Tung Yau. Yau published On sampling Markov chains together with Ronald Graham,
Kiralee_Hayashi
Arrangement of numbers
on 2009-12-16. Meng, F. "Research into the Order 3 Magic Hexagon", Shing-Tung Yau Awards, October 2008. Retrieved on 2009-12-16. Baker. J. E. and King
Magic_hexagon
Vector bundles theorem
Uhlenbeck and Shing-Tung Yau for compact Kähler manifolds, and independently by Buchdahl for non-Kähler compact surfaces, and by Jun Li and Yau for arbitrary
Kobayashi–Hitchin correspondence
Kobayashi–Hitchin_correspondence
Theorem in differential geometry
immersed torus M in R3, W(M) ≥ 2π2. In 1982, Peter Wai-Kwong Li and Shing-Tung Yau proved the conjecture in the non-embedded case, showing that if f :
Willmore_conjecture
Public housing estate in Shau Kei Wan, Hong Kong
and 1995 respectively. The Yiu Tung Public Library is located within the estate. Tung Chun Court (東駿苑) and Tung Shing Court (東盛苑) are Home Ownership Scheme
Yiu_Tung_Estate
Interdisciplinary science program at Harvard University
Sheperd S. Doeleman, Peter Galison, Avi Loeb, Andrew Strominger and Shing-Tung Yau. The initiative also provides for the support of BHI Fellows, who receive
Black_Hole_Initiative
Differential geometry conjecture
theorem first proved (in a provisional setting) in 1979 by Schoen and Shing-Tung Yau. There has been more recent work due to Simon Brendle, Marcus Khuri
Yamabe_problem
Canadian mathematician
two-dimensional case, Fraser and Schoen were able to adapt Paul Yang and Shing-Tung Yau's use of the Hersch trick in order to approximate the product of the
Ailana_Fraser
Metric on a determinant line bundle
manifolds, published one year after the resolution of the correspondence by Shing-Tung Yau and Karen Uhlenbeck for arbitrary compact Kähler manifolds. Suppose
Quillen_metric
Type of hypersurface in differential geometry
Scientific. pp. 61–. ISBN 978-981-02-0556-0. Robert Everist Greene; Shing-Tung Yau (1993). Partial Differential Equations on Manifolds. American Mathematical
Dupin_hypersurface
American mathematician and billionaire (1938–2024)
Barbara; Neuwirth, Lee; Patterson, Nick; Kra, Irwin; Phillips, Tony; Yau, Shing-Tung; Millson, John; Sutherland, Scott; Brown, Peter; Laufer, Henry; Mercer
Jim_Simons
Taiwanese mathematician
mathematics from Harvard University in 2002 under the supervision of Shing-Tung Yau. After continuing at Harvard as a Junior Fellow, she took a faculty
Chiu-Chu_Melissa_Liu
Constructing a strictly convex compact surface with specified Gaussian curvature
Shing-Tung Yau's joint work with Shiu-Yuen Cheng gives a complete proof of the higher-dimensional Minkowski problem in Euclidean spaces. Shing-Tung Yau
Minkowski_problem
East Asian ethnic group
awards a mathematician can receive, has been given to Terence Tao, Shing-Tung Yau, Deng Yu and Turing Award winner Andrew Yao. Tsien Hsue-shen was a prominent
Han_Chinese
Theorem in topology
hyperbolic structures on 3-manifolds, and results by William Meeks and Shing-Tung Yau on minimal surfaces in 3-manifolds, with some additional help from Bass
Smith_conjecture
French mathematician (born 1953)
OCLC 70784273. The Sato–Tate Conjecture, in Barry Mazur, Wilfried Schmid, Shing-Tung Yau (ed.): Current Developments in Mathematics, American Mathematical Society
Laurent_Clozel
historian 1951 1960 Emeritus 1961-1971 C. N. Yang physicist 1955 1966 Shing-Tung Yau mathematician 1980 1984 Matias Zaldarriaga astrophysicist 2009 current
List of faculty members at the Institute for Advanced Study
List_of_faculty_members_at_the_Institute_for_Advanced_Study
2019 art project by Ilya Khrzhanovsky
research, including Profs. Nobel laureate David Gross, Fields Medal winner Shing-Tung Yau, Nikita Nekrasov, Dmitry Kaledin, Andrey Losev, Samson Shatashvili,
DAU_(project)
University Record. "Shing-Tung Yau". Encyclopædia Britannica Online. Dennis Overbye (October 17, 2006). "SCIENTIST AT WORK – Shing-Tung Yau; The Emperor of
List of University of California, Berkeley alumni
List_of_University_of_California,_Berkeley_alumni
Partial differential equation
Peter Li and Shing-Tung Yau for parabolic differential equations on Riemannian manifolds, Hamilton (1993a) proved the following "Li–Yau inequality". Let
Ricci_flow
Conjecture in symplectic geometry
special Lagrangian representative. The Thomas–Yau conjecture was proposed by Richard Thomas and Shing-Tung Yau in 2001, and was motivated by similar theorems
Thomas–Yau_conjecture
Andrew Chi-Chih Yao - Turing Award winner (2001), computer scientist Shing-Tung Yau - Fields Medal winner (1982), mathematician Caucher Birkar - Fields
List of Tsinghua University people
List_of_Tsinghua_University_people
International Congress of Chinese Mathematicians prize
2017-12-29. Retrieved 2019-11-24. Lizhen Ji; Yat Sun Poon; Lo Yang; Shing-Tung Yau, eds. (2010). Fifth International Congress of Chinese Mathematicians
Chern_Prize_(ICCM)
Study of complex manifolds and several complex variables
global analytic results to be proven with great success, including Shing-Tung Yau's proof of the Calabi conjecture, the Hitchin–Kobayashi correspondence
Complex_geometry
Cocke 1995—Louis Nirenberg 1996—Richard M. Karp, Stephen Smale 1997—Shing-Tung Yau 1998—Cathleen Synge Morawetz 1999—Felix Browder, Ronald Coifman 2000—John
List of National Medal of Science laureates
List_of_National_Medal_of_Science_laureates
Type of geometry in mathematics
Schwarzschild, Roy Kerr, and Yvonne Choquet-Bruhat. In Riemannian geometry, Shing-Tung Yau's resolution of the Calabi conjecture produced a number of Ricci-flat
Ricci-flat_manifold
German mathematician
More specifically, in collaboration with Niky Kamran, Joel Smoller and Shing-Tung Yau he studies the dynamics of waves in a black hole geometry. Moreover
Felix_Finster
Temple in Yau Ma Tei, Kowloon, Hong Kong
Complex is a temple in Yau Ma Tei, Kowloon, Hong Kong. It comprises a row of five adjacent buildings: a Tin Hau Temple, a Shing Wong Temple, a Kwun Yum
Tin Hau Temple Complex, Yau Ma Tei
Tin_Hau_Temple_Complex,_Yau_Ma_Tei
Weil Alan Weinstein Alexander D. Wentzell J. E. West Gavin C. Wraith Shing-Tung Yau Gregg Jay Zuckerman Michael Aizenman Antonio Ambrosetti Anatoli N. Andrianov
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
Prefecture-level city in Guangdong, China
Shilin (1998–), Chinese tennis player, Junior Olympic gold medallist Shing-Tung Yau (1949–), American mathematician, winner of the 1982 Fields Medal, the
Shantou
Canadian-American mathematician (1925–2020)
realized their proofs to be incomplete. In 1977, Shiu-Yuen Cheng and Shing-Tung Yau resolved the existence and interior regularity for the Monge-Ampère
Louis_Nirenberg
in Chemistry for this achievement. Chinese American mathematicians Shing-Tung Yau and Terence Tao both won the Fields Medal. The geometer Shiing-Shen
Asian Americans in science and technology
Asian_Americans_in_science_and_technology
Italian-born American mathematician (1923–2023)
estimates for certain partial differential equations. In the 1970s, Shing-Tung Yau began working on the Calabi conjecture, initially attempting to disprove
Eugenio_Calabi
American mathematician
use of computer graphics as a research tool. with Shing-Tung Yau: Meeks, William H; Yau, Shing-Tung (1980). "Topology of three dimensional manifolds and
William_Hamilton_Meeks,_III
Politician and businessman from Hong Kong
2005). "Tung resigns". The Standard. Archived from the original on 30 April 2008. Retrieved 11 January 2007. Yau, Cannix (11 March 2005). "Tung's gone.
Tung_Chee-hwa
Italian mathematician (born c.1981)
thesis Geometry of complex Monge-Ampère equations was supervised by Shing-Tung Yau. Tosatti was from 2009 to 2012 a Joseph Fels Ritt Assistant Professor
Valentino_Tosatti
also by other mathematicians, such as Mikhail Gromov, Richard Schoen, Shing-Tung Yau, Fernando Codá Marques, André Neves, Ian Agol, among others.[excessive
Almgren–Pitts_min-max_theory
American physicist
for the first time, to a physical problem. The same year, Strominger, Shing-Tung Yau, and Eric Zaslow introduced the SYZ conjecture as a precise formulation
Andrew_Strominger
Manifold with Riemannian, complex and symplectic structure
with ample canonical bundle are automatically projective varieties. Shing-Tung Yau proved the Calabi conjecture: every smooth projective variety with ample
Kähler_manifold
By a different maximum principle-based method, Shiu-Yuen Cheng and Shing-Tung Yau generalized the Keller–Osserman non-existence result, in part by a generalization
Keller–Osserman_conditions
Concept in mathematics
MR 1399562. Zbl 0864.58015. Yau, Shing Tung (1982). "Survey on partial differential equations in differential geometry". In Yau, Shing-Tung (ed.). Seminar on Differential
Harmonic_map
Russian film director (born 1975)
biologists, including Profs. Nobel laureate David Gross, Fields Medal winner Shing-Tung Yau, Nikita Nekrasov, Dmitry Kaledin, Andrey Losev, Samson Shatashvili,
Ilya_Khrzhanovsky
Theorem in differential geometry
journal}}: CS1 maint: periodical has ISBN (link) Yau, Shing Tung (1982). "Problem section". In Yau, Shing-Tung (ed.). Seminar on Differential Geometry. Annals
Splitting_theorem
Existence of geodesic circles on surfaces
Finsler metric on the 2-sphere. In his famous problem list in 1982, Shing-Tung Yau posed the conjecture that every Riemannian 3-sphere contains at least
Theorem of the three geodesics
Theorem_of_the_three_geodesics
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