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Shing-Tung Yau

Index Shing-Tung Yau

Shing-Tung Yau (born April 4, 1949) is a chinese and naturalized American mathematician. [1]

215 relations: Academia Sinica, Accademia dei Lincei, Albert Einstein, Alexander von Humboldt Foundation, Algebraic curve, Algebraic geometry, Algebraic surface, Almgren–Pitts min-max theory, American Academy of Arts and Sciences, American Association for the Advancement of Science, American Mathematical Society, American Physical Society, André Neves, Andrew Strominger, Asymptotic expansion, Asymptotically flat spacetime, Basic Books, Biholomorphism, Black hole, Bogomolov–Miyaoka–Yau inequality, Brian Greene, C. S. Seshadri, Calabi conjecture, Calabi–Yau manifold, Cameron Gordon (mathematician), Characteristic (algebra), Characteristic class, Chern class, China, Chinese Academy of Sciences, Chinese economic reform, Chinese University of Hong Kong, Chiu-Chu Melissa Liu, Closed geodesic, Closed manifold, Commerce, Communications on Pure and Applied Mathematics, Complex geometry, Complex manifold, Complex projective plane, Complex projective space, Computational science, Constant curvature, Convex set, Crafoord Prize, Cumrun Vafa, Curvature, Cyclic group, David Mumford, Defamation, ..., Degree of an algebraic variety, Dennis Sullivan, Differentiable manifold, Differential geometry, Digital image processing, Dimension, Dirichlet problem, Dream of the Red Chamber, Edward Witten, Engineering, Eric Zaslow, Existence theorem, Fernando Codá Marques, Fields Medal, Fixed point (mathematics), Fudan University, Fundamental group, Gang Tian, General relativity, Generic property, Geometric analysis, Geometric invariant theory, Geometrization conjecture, Geometry, Grigori Perelman, Group action, Guangdong, Guggenheim Fellowship, Hakka people, Hangzhou, Hangzhou University, Hans Werner Ballmann, Harmonic function, Harmonic map, Harnack's inequality, Harvard University, Heat kernel, Hermann Minkowski, Holomorphic vector bundle, Hong Kong, Hong Kong University of Science and Technology, Hsinchu, Hua Luogeng, Huai-Dong Cao, Huazhong University of Science and Technology, Humboldt Prize, Hunan Normal University, Industry, Institute for Advanced Study, Jiaoling County, John H. Coates, John J. Carty Award for the Advancement of Science, Jordan curve theorem, Jun Li (mathematician), Karen Uhlenbeck, Kähler manifold, Kähler–Einstein metric, Kefeng Liu, Lehigh University, List of string theory topics, Liu Chao-shiuan, Lizhen Ji, M. S. Narasimhan, MacArthur Fellows Program, Mainland China, Manifold, Manifold Destiny, Mark Stern, Mathematical physics, Mathematician, Mathematics, Metric (mathematics), Michael T. Anderson, Mikhail Leonidovich Gromov, Minimal surface, Ministry of Science and Technology (Taiwan), Mirror symmetry (string theory), Monge–Ampère equation, Mostow rigidity theorem, Mu-Tao Wang, Multiple citizenship, Nankai University, National Academy of Sciences, National Central University, National Cheng Kung University, National Chiao Tung University, National Medal of Science, National Taiwan University, National Tsing Hua University, New York Academy of Sciences, New York University Tandon School of Engineering, News agency, Non-positive curvature, North University of China, Northwest University (China), Open problem, Oswald Veblen Prize in Geometry, Outline of physical science, Peking University, Physics, Picard–Fuchs equation, Plateau's problem, Poincaré conjecture, Polynomial, Positive energy theorem, Princeton University, Pseudoconvexity, Pui Ching Middle School (Hong Kong), Qiū (surname), Rank (linear algebra), Ricci flow, Richard S. Hamilton, Richard Schoen, Riemann surface, Rigidity (mathematics), Ronnie Chan, Russian Academy of Sciences, Scalar curvature, Sha Tin, Shantou, Shaw College (Hong Kong), Shigefumi Mori, Shiing-Shen Chern, Shimura variety, Shiu-Yuen Cheng, Simon Donaldson, Sloan Fellows, Smith conjecture, Society for Industrial and Applied Mathematics, Spacetime, Stanford University, Statistics, Stony Brook University, String theory, Symmetric space, Symplectic geometry, SYZ conjecture, Taiwan, Tangent bundle, The New York Times, The New Yorker, Theoretical physics, Topology, Traditional Chinese characters, Tsinghua University, Unicode equivalence, Unified field theory, Uniformization theorem, Unit sphere, United States, University of California, Berkeley, University of California, San Diego, University of Macau, University of Science and Technology of China, University of Waterloo, Wang Guowei, William Thurston, Wolf Prize, Wolf Prize in Mathematics, Yamabe problem, Yau's conjecture, Yuen Long, Yum-Tong Siu, Zhejiang University, 3-manifold. Expand index (165 more) »

Academia Sinica

Academia Sinica (Han characters: 中央研究院, literally "central research academy"; abbreviated AS), headquartered in Nangang District, Taipei, is the national academy of Taiwan.

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Accademia dei Lincei

The Accademia dei Lincei (literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is an Italian science academy, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy.

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Albert Einstein

Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).

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Alexander von Humboldt Foundation

The Alexander von Humboldt Foundation (Alexander von Humboldt-Stiftung) is a foundation established by the government of the Federal Republic of Germany and funded by the Federal Foreign Office, the Federal Ministry of Education and Research, the Federal Ministry for Economic Cooperation and Development as well as other national and international partners; it promotes international academic cooperation between excellent scientists and scholars from Germany and from abroad.

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Algebraic curve

In mathematics, a plane real algebraic curve is the set of points on the Euclidean plane whose coordinates are zeros of some polynomial in two variables.

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Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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Algebraic surface

In mathematics, an algebraic surface is an algebraic variety of dimension two.

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Almgren–Pitts min-max theory

In mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for hypersurfaces.

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American Academy of Arts and Sciences

The American Academy of Arts and Sciences is one of the oldest learned societies in the United States of America.

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American Association for the Advancement of Science

The American Association for the Advancement of Science (AAAS) is an American international non-profit organization with the stated goals of promoting cooperation among scientists, defending scientific freedom, encouraging scientific responsibility, and supporting scientific education and science outreach for the betterment of all humanity.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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American Physical Society

The American Physical Society (APS) is the world's second largest organization of physicists.

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André Neves

André da Silva Graça Arroja Neves (born 1975, Lisbon) is a Portuguese mathematician and a Professor at Imperial College London.

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Andrew Strominger

Andrew Eben Strominger (born 1955) is an American theoretical physicist who is the Director of Harvard's Center for the Fundamental Laws of Nature.

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Asymptotic expansion

In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point.

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Asymptotically flat spacetime

An asymptotically flat spacetime is a Lorentzian manifold in which, roughly speaking, the curvature vanishes at large distances from some region, so that at large distances, the geometry becomes indistinguishable from that of Minkowski spacetime.

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Basic Books

Basic Books is a book publisher founded in 1952 and located in New York, now an imprint of Hachette Books.

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Biholomorphism

In the mathematical theory of functions of one or more complex variables, and also in complex algebraic geometry, a biholomorphism or biholomorphic function is a bijective holomorphic function whose inverse is also holomorphic.

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Black hole

A black hole is a region of spacetime exhibiting such strong gravitational effects that nothing—not even particles and electromagnetic radiation such as light—can escape from inside it.

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Bogomolov–Miyaoka–Yau inequality

In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality between Chern numbers of compact complex surfaces of general type.

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Brian Greene

Brian Randolph Greene (born February 9, 1963) is an American theoretical physicist, mathematician, and string theorist.

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C. S. Seshadri

C.S. Seshadri FRS (born 29 February 1932) is an eminent Indian mathematician.

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Calabi conjecture

In mathematics, the Calabi conjecture was a conjecture about the existence of certain "nice" Riemannian metrics on certain complex manifolds, made by and proved by.

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Calabi–Yau manifold

In algebraic geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has properties, such as Ricci flatness, yielding applications in theoretical physics.

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Cameron Gordon (mathematician)

Cameron Gordon (born 1945) is a Professor and Sid W. Richardson Foundation Regents Chair in the Department of mathematics at the University of Texas at Austin, known for his work in knot theory.

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Characteristic (algebra)

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.

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Characteristic class

In mathematics, a characteristic class is a way of associating to each principal bundle X a cohomology class of X. The cohomology class measures the extent the bundle is "twisted" — and whether it possesses sections.

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Chern class

In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles.

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China

China, officially the People's Republic of China (PRC), is a unitary one-party sovereign state in East Asia and the world's most populous country, with a population of around /1e9 round 3 billion.

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Chinese Academy of Sciences

The Chinese Academy of Sciences (CAS), with historical origins in the Academia Sinica during the Republic of China era, is the national academy for the natural sciences of the People's Republic of China (PRC).

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Chinese economic reform

The Chinese economic reform refers to the program of economic reforms termed "Socialism with Chinese characteristics" in the People's Republic of China (PRC) that was started in December 1978 by reformists within the Communist Party of China, led by Deng Xiaoping.

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Chinese University of Hong Kong

The Chinese University of Hong Kong (CUHK) is a public research university in Shatin, Hong Kong formally established in 1963 by a charter granted by the Legislative Council of Hong Kong.

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Chiu-Chu Melissa Liu

Chiu-Chu Melissa Liu (born December 15, 1974) is a Taiwanese mathematician who works as a professor of mathematics at Columbia University.

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Closed geodesic

In differential geometry and dynamical systems, a closed geodesic on a Riemannian manifold is a geodesic that returns to its starting point with the same tangent direction.

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Closed manifold

In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary.

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Commerce

Commerce relates to "the exchange of goods and services, especially on a large scale.” Commerce includes legal, economic, political, social, cultural and technological systems that operate in any country or internationally.

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Communications on Pure and Applied Mathematics

Communications on Pure and Applied Mathematics is a monthly peer-reviewed scientific journal which is published by John Wiley & Sons on behalf of the Courant Institute of Mathematical Sciences.

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Complex geometry

In mathematics, complex geometry is the study of complex manifolds and functions of several complex variables.

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Complex manifold

In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic.

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Complex projective plane

In mathematics, the complex projective plane, usually denoted P2(C), is the two-dimensional complex projective space.

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Complex projective space

In mathematics, complex projective space is the projective space with respect to the field of complex numbers.

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Computational science

Computational science (also scientific computing or scientific computation (SC)) is a rapidly growing multidisciplinary field that uses advanced computing capabilities to understand and solve complex problems.

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Constant curvature

In mathematics, constant curvature is a concept from differential geometry.

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Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

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Crafoord Prize

The Crafoord Prize is an annual science prize established in 1980 by Holger Crafoord, a Swedish industrialist, and his wife Anna-Greta Crafoord.

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Cumrun Vafa

Cumrun Vafa (کامران وفا; born 1960) is an Iranian-American string theorist from Harvard University, which he first joined as a Harvard Junior Fellow.

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Curvature

In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.

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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

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David Mumford

David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory.

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Defamation

Defamation, calumny, vilification, or traducement is the communication of a false statement that, depending on the law of the country, harms the reputation of an individual, business, product, group, government, religion, or nation.

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Degree of an algebraic variety

In mathematics, the degree of an affine or projective variety of dimension is the number of intersection points of the variety with hyperplanes in general position (for an algebraic set, the intersection points must be counted with their intersection multiplicity) The degree is not an intrinsic property of the variety, as it depends on a specific embedding of the variety in an affine or projective space.

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Dennis Sullivan

Dennis Parnell Sullivan (born February 12, 1941) is an American mathematician.

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Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

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Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

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Digital image processing

In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.

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Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

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Dirichlet problem

In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region.

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Dream of the Red Chamber

Dream of the Red Chamber, also called The Story of the Stone, composed by Cao Xueqin, is one of China's Four Great Classical Novels.

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Edward Witten

Edward Witten (born August 26, 1951) is an American theoretical physicist and professor of mathematical physics at the Institute for Advanced Study in Princeton, New Jersey.

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Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

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Eric Zaslow

Eric Zaslow is an American mathematical physicist at Northwestern University.

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Existence theorem

In mathematics, an existence theorem is a theorem with a statement beginning 'there exist(s)..', or more generally 'for all,,...

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Fernando Codá Marques

Fernando Codá dos Santos Cavalcanti Marques (born 8 October 1979) is a Brazilian mathematician working mainly in geometry, topology, partial differential equations and Morse theory.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.

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Fudan University

Fudan University, located in Shanghai, China, is a C9 League university that is one of the most prestigious and selective universities in China.

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Fundamental group

In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

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Gang Tian

Tian Gang (born November 1958) is a Chinese mathematician and an academician of the American Academy of Arts and Sciences.

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General relativity

General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.

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Generic property

In mathematics, properties that hold for "typical" examples are called generic properties.

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Geometric analysis

Geometric analysis is a mathematical discipline at the interface of differential geometry and differential equations.

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Geometric invariant theory

In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces.

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Geometrization conjecture

In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Grigori Perelman

Grigori Yakovlevich Perelman (a; born 13 June 1966) is a Russian mathematician.

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Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

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Guangdong

Guangdong is a province in South China, located on the South China Sea coast.

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Guggenheim Fellowship

Guggenheim Fellowships are grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts".

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Hakka people

The Hakkas, sometimes Hakka Han, are Han Chinese people whose ancestral homes are chiefly in the Hakka-speaking provincial areas of Guangdong, Fujian, Jiangxi, Guangxi, Sichuan, Hunan, Zhejiang, Hainan and Guizhou.

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Hangzhou

Hangzhou (Mandarin:; local dialect: /ɦɑŋ tseɪ/) formerly romanized as Hangchow, is the capital and most populous city of Zhejiang Province in East China.

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Hangzhou University

Since 1998, Hangzhou University has been a part of Zhejiang University.

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Hans Werner Ballmann

Hans Werner Ballmann (known as Werner Ballmann; born 11 April 1951) is a German mathematician.

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Harmonic function

In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f: U → R where U is an open subset of Rn that satisfies Laplace's equation, i.e. everywhere on U. This is usually written as or.

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Harmonic map

A (smooth) map \phi:M→N between Riemannian manifolds M and N is called harmonic if it is a critical point of the Dirichlet energy functional This functional E will be defined precisely below—one way of understanding it is to imagine that M is made of rubber and N made of marble (their shapes given by their respective metrics), and that the map \phi:M→N prescribes how one "applies" the rubber onto the marble: E(\phi) then represents the total amount of elastic potential energy resulting from tension in the rubber.

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Harnack's inequality

In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Heat kernel

In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions.

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Hermann Minkowski

Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.

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Holomorphic vector bundle

In mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold such that the total space is a complex manifold and the projection map is holomorphic.

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Hong Kong

Hong Kong (Chinese: 香港), officially the Hong Kong Special Administrative Region of the People's Republic of China, is an autonomous territory of China on the eastern side of the Pearl River estuary in East Asia.

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Hong Kong University of Science and Technology

The Hong Kong University of Science and Technology (HKUST) is a public research university in Clear Water Bay, Hong Kong.

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Hsinchu

Hsinchu officially known as Hsinchu City, is a provincial city in northern Taiwan.

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Hua Luogeng

Hua Luogeng, or Hua Loo-gehng (12 November 1910 – 12 June 1985), was a Chinese mathematician famous for his important contributions to number theory and for his role as the leader of mathematics research and education in the People's Republic of China.

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Huai-Dong Cao

Huai-Dong Cao (born 8 November 1959 in Jiangsu) is A. Everett Pitcher Professor of Mathematics at Lehigh University.

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Huazhong University of Science and Technology

The Huazhong University of Science and Technology (HUST) is a public, coeducational research university located in Wuhan, Hubei province, China.

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Humboldt Prize

The Humboldt Prize, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany.

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Hunan Normal University

Hunan Normal University, founded in 1938, is a higher education institution in Changsha, Hunan Province, China.

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Industry

Industry is the production of goods or related services within an economy.

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Institute for Advanced Study

The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.

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Jiaoling County

Jiaoling County (postal: Chiuling) is a county in the northeast of Guangdong Province, China, bordering Fujian province to the north.

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John H. Coates

John Henry Coates, FRS (born 26 January 1945) is a mathematician who was the Sadleirian Professor of Pure Mathematics at the University of Cambridge in the United Kingdom from 1986 to 2012.

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John J. Carty Award for the Advancement of Science

The John J. Carty Award for the Advancement of Science is awarded by the U.S. National Academy of Sciences "for noteworthy and distinguished accomplishments in any field of science within the charter of the Academy".

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Jordan curve theorem

In topology, a Jordan curve, sometimes called a plane simple closed curve, is a non-self-intersecting continuous loop in the plane.

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Jun Li (mathematician)

Jun Li is a Chinese mathematician who is currently a Professor of Mathematics at Stanford University.

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Karen Uhlenbeck

Karen Keskulla Uhlenbeck (born August 24, 1942) is a professor and Sid W. Richardson Foundation Regents Chairholder in the Department of Mathematics at The University of Texas in Austin.

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Kähler manifold

In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.

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Kähler–Einstein metric

In differential geometry, a Kähler–Einstein metric on a complex manifold is a Riemannian metric that is both a Kähler metric and an Einstein metric.

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Kefeng Liu

Kefeng Liu (Chinese: 刘克峰; born December 1965), is a Chinese mathematician who is known for his contributions to geometric analysis, particularly the geometry, topology and analysis of moduli spaces of Riemann surfaces and Calabi-Yau manifolds.

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Lehigh University

Lehigh University is an American private research university in Bethlehem, Pennsylvania.

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List of string theory topics

This is a list of string theory topics.

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Liu Chao-shiuan

Liu Chao-shiuan (born 10 May 1943) is a Taiwanese educator and politician.

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Lizhen Ji

Lizhen Ji (Chinese: 季理真; born 1964), is an American mathematician.

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M. S. Narasimhan

Mudumbai Seshachalu Narasimhan (born 1932) is an Indian mathematician.

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MacArthur Fellows Program

The MacArthur Fellows Program, MacArthur Fellowship, or "Genius Grant", is a prize awarded annually by the John D. and Catherine T. MacArthur Foundation typically to between 20 and 30 individuals, working in any field, who have shown "extraordinary originality and dedication in their creative pursuits and a marked capacity for self-direction" and are citizens or residents of the United States.

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Mainland China

Mainland China, also known as the Chinese mainland, is the geopolitical as well as geographical area under the direct jurisdiction of the People's Republic of China (PRC).

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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Manifold Destiny

"Manifold Destiny" is an article in The New Yorker written by Sylvia Nasar and David Gruber and published in the August 28, 2006 issue of the magazine.

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Mark Stern

Mark Stern is an American mathematician whose focus has been on geometric analysis, Yang-Mills theory, Hodge theory, and string theory.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Metric (mathematics)

In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set.

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Michael T. Anderson

Michael T. Anderson (born November 18, 1950 in Boulder, Colorado)Who's Who in America 2008 Ed., Vol.

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Mikhail Leonidovich Gromov

Mikhail Leonidovich Gromov (also Mikhael Gromov, Michael Gromov or Mischa Gromov; Михаи́л Леони́дович Гро́мов; born 23 December 1943), is a French-Russian mathematician known for work in geometry, analysis and group theory.

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Minimal surface

In mathematics, a minimal surface is a surface that locally minimizes its area.

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Ministry of Science and Technology (Taiwan)

The Ministry of Science and Technology of the Republic of China (MOST) is the government ministry of the Republic of China (Taiwan) for the promotion and funding of science research and technology adaptation.

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Mirror symmetry (string theory)

In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds.

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Monge–Ampère equation

In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind.

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Mostow rigidity theorem

In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete, finite-volume hyperbolic manifold of dimension greater than two is determined by the fundamental group and hence unique.

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Mu-Tao Wang

Mu-Tao Wang is a Taiwanese mathematician and current Professor of Mathematics at Columbia University.

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Multiple citizenship

Multiple citizenship, dual citizenship, multiple nationality or dual nationality, is a person's citizenship status, in which a person is concurrently regarded as a citizen of more than one state under the laws of those states.

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Nankai University

Nankai University (NKU) is a public research university located in Tianjin, China.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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National Central University

National Central University (NCU,, Kuo-Li Chung-yang Ta-hsüeh, or 中大, Chung-ta) was founded in 1915 with roots from 258 CE in mainland China.

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National Cheng Kung University

National Cheng Kung University (NCKU)The name of the university is translated using Chinese word order.

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National Chiao Tung University

National Chiao Tung University (NCTU) is one of Taiwan's leading public research universities located in Hsinchu, Taiwan.

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National Medal of Science

The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and physics.

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National Taiwan University

National Taiwan University (NTU;; colloquially, 台大; Táidà)The name of the university is translated using Chinese word order.

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National Tsing Hua University

National Tsing Hua University (NTHU) is a research university located in Hsinchu City, Republic of China (Taiwan).

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New York Academy of Sciences

The New York Academy of Sciences (originally the Lyceum of Natural History) was founded in January 1817.

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New York University Tandon School of Engineering

The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University.

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News agency

A news agency is an organization that gathers news reports and sells them to subscribing news organizations, such as newspapers, magazines and radio and television broadcasters.

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Non-positive curvature

In mathematics, spaces of non-positive curvature occur in many contexts and form a generalization of hyperbolic geometry.

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North University of China

North University of China (NUC) is a university based in Taiyuan, Shanxi province, China.

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Northwest University (China)

Northwest University, located in Xi'an city, Shaanxi Province, is one of the nation's leading comprehensive universities.

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Open problem

In science and mathematics, an open problem or an open question is a known problem which can be accurately stated, and which is assumed to have an objective and verifiable solution, but which has not yet been solved (no solution for it is known).

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Oswald Veblen Prize in Geometry

The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology.

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Outline of physical science

Physical science is a branch of natural science that studies non-living systems, in contrast to life science.

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Peking University

Peking University (abbreviated PKU or Beida; Chinese: 北京大学, pinyin: běi jīng dà xué) is a major Chinese research university located in Beijing and a member of the C9 League.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Picard–Fuchs equation

In mathematics, the Picard–Fuchs equation, named after Émile Picard and Lazarus Fuchs, is a linear ordinary differential equation whose solutions describe the periods of elliptic curves.

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Plateau's problem

In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary, a problem raised by Joseph-Louis Lagrange in 1760.

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Poincaré conjecture

In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Positive energy theorem

In general relativity, the positive energy theorem (more commonly known as the positive mass conjecture) states that, assuming the dominant energy condition, the mass of an asymptotically flat spacetime is non-negative; furthermore, the mass is zero only for Minkowski spacetime.

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Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

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Pseudoconvexity

In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn.

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Pui Ching Middle School (Hong Kong)

Pui Ching Middle School is a Baptist secondary school in Ho Man Tin, Kowloon, Hong Kong.

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Qiū (surname)

Qiū is the Hanyu Pinyin transliteration of the Chinese family names 丘, 邱, 仇, 秋 and 裘. They may be transliterated in various forms, as.

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Rank (linear algebra)

In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns.

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Ricci flow

In differential geometry, the Ricci flow (Italian) is an intrinsic geometric flow.

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Richard S. Hamilton

Richard Streit Hamilton (born 1943) is Davies Professor of Mathematics at Columbia University.

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Richard Schoen

Richard Melvin Schoen (born October 23, 1950) is an American mathematician known for his work in differential geometry.

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Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

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Rigidity (mathematics)

In mathematics, a rigid collection C of mathematical objects (for instance sets or functions) is one in which every c ∈ C is uniquely determined by less information about c than one would expect.

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Ronnie Chan

The Honourable Ronnie Chan Chi-chung (born 1949 in Hong Kong) is a Hong Kong entrepreneur.

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Russian Academy of Sciences

The Russian Academy of Sciences (RAS; Росси́йская акаде́мия нау́к (РАН) Rossíiskaya akadémiya naúk) consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals.

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Scalar curvature

In Riemannian geometry, the scalar curvature (or the Ricci scalar) is the simplest curvature invariant of a Riemannian manifold.

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Sha Tin

Sha Tin, also spelt Shatin, is a city along the Shing Mun River in the Sha Tin District of East New Territories, Hong Kong.

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Shantou

Shantou, formerly romanized as Swatow and sometimes known as Santow, is a prefecture-level city on the eastern coast of Guangdong, China, with a total population of 5,391,028 as of 2010 and an administrative area of.

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Shaw College (Hong Kong)

Shaw College is the fourth constituent college to be established at the Chinese University of Hong Kong.

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Shigefumi Mori

is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds.

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Shiing-Shen Chern

Shiing-Shen Chern (October 26, 1911 – December 3, 2004) was a Chinese-American mathematician who made fundamental contributions to differential geometry and topology.

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Shimura variety

In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. The term "Shimura variety" applies to the higher-dimensional case, in the case of one-dimensional varieties one speaks of Shimura curves.

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Shiu-Yuen Cheng

Shiu-Yuen Cheng (鄭紹遠) is a Hong Kong mathematician.

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Simon Donaldson

Sir Simon Kirwan Donaldson FRS (born 20 August 1957), is an English mathematician known for his work on the topology of smooth (differentiable) four-dimensional manifolds and Donaldson–Thomas theory.

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Sloan Fellows

The Sloan Fellows program is the world's first mid-career master's degree in general management and leadership initially supported by a grant from Alfred P. Sloan, the late CEO of General Motors, to his alma mater, MIT.

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Smith conjecture

In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial knot.

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Society for Industrial and Applied Mathematics

The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.

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Spacetime

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

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Stanford University

Stanford University (officially Leland Stanford Junior University, colloquially the Farm) is a private research university in Stanford, California.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Stony Brook University

The State University of New York at Stony Brook (also known as Stony Brook University or SUNY Stony Brook) is a public sea-grant and space-grant research university in the eastern United States.

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String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

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Symmetric space

In differential geometry, representation theory and harmonic analysis, a symmetric space is a pseudo-Riemannian manifold whose group of symmetries contains an inversion symmetry about every point.

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Symplectic geometry

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.

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SYZ conjecture

The SYZ conjecture is an attempt to understand the mirror symmetry conjecture, an issue in theoretical physics and mathematics.

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Taiwan

Taiwan, officially the Republic of China (ROC), is a state in East Asia.

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Tangent bundle

In differential geometry, the tangent bundle of a differentiable manifold M is a manifold TM which assembles all the tangent vectors in M. As a set, it is given by the disjoint unionThe disjoint union ensures that for any two points x1 and x2 of manifold M the tangent spaces T1 and T2 have no common vector.

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The New York Times

The New York Times (sometimes abbreviated as The NYT or The Times) is an American newspaper based in New York City with worldwide influence and readership.

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The New Yorker

The New Yorker is an American magazine of reportage, commentary, criticism, essays, fiction, satire, cartoons, and poetry.

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Theoretical physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Traditional Chinese characters

Traditional Chinese characters (Pinyin) are Chinese characters in any character set that does not contain newly created characters or character substitutions performed after 1946.

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Tsinghua University

Tsinghua University (abbreviated THU;; also romanized as Qinghua) is a major research university in Beijing, China and a member of the elite C9 League of Chinese universities.

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Unicode equivalence

Unicode equivalence is the specification by the Unicode character encoding standard that some sequences of code points represent essentially the same character.

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Unified field theory

In physics, a unified field theory (UFT) is a type of field theory that allows all that is usually thought of as fundamental forces and elementary particles to be written in terms of a pair of physical and virtual fields.

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Uniformization theorem

In mathematics, the uniformization theorem says that every simply connected Riemann surface is conformally equivalent to one of the three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere.

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Unit sphere

In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.

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United States

The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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University of California, San Diego

The University of California, San Diego is a public research university located in the La Jolla neighborhood of San Diego, California, in the United States.

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University of Macau

The University of Macau (UM, UMac or UMacau, Universidade de Macau) is a public research university in Macau and the leading tertiary institution in the city.

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University of Science and Technology of China

The University of Science and Technology of China (USTC) is a national research university in Hefei, Anhui, China, under the direct leadership of the Chinese Academy of Sciences (CAS).

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University of Waterloo

The University of Waterloo (commonly referred to as Waterloo, UW, or UWaterloo) is a public research university with a main campus in Waterloo, Ontario.

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Wang Guowei

Wang Guowei (2 December 18772 June 1927), courtesy name Jing'an (靜安) or Boyu (伯隅), was a Chinese scholar, writer and poet.

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William Thurston

William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.

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Wolf Prize

The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...

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Wolf Prize in Mathematics

The Wolf Prize in Mathematics is awarded almost annually by the Wolf Foundation in Israel.

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Yamabe problem

The Yamabe problem in differential geometry concerns the existence of Riemannian metrics with constant scalar curvature, and takes its name from the mathematician Hidehiko Yamabe.

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Yau's conjecture

In differential geometry, Yau's conjecture from 1982, named after Fields Medalist Shing-Tung Yau, is an important mathematical conjecture which states that a closed Riemannian three-manifold has an infinite number of smooth closed immersed minimal surfaces.

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Yuen Long

Yuen Long, formerly romanised as Un Long, is an area and town on the Yuen Long Plain located in the western New Territories, Hong Kong.

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Yum-Tong Siu

Yum-Tong Siu (蕭蔭堂; born May 6, 1943 in Guangzhou, China) is the William Elwood Byerly Professor of Mathematics at Harvard University.

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Zhejiang University

Zhejiang University (ZJU, also known as Che Kiang University), sometimes referred to as Zheda, is an elite C9 League university in China. It is also a Chinese Ministry of Education Class A Double First Class University. Founded in 1897, Zhejiang University is one of China's oldest, most selective and most prestigious institutions of higher education. It is also a member of the Yangtze Delta Universities Alliance and the Association of Pacific Rim Universities. The university campus is located in the city of Hangzhou, approximately southwest of Shanghai. Zhejiang University Library's collection contains about 7 million volumes, making it one of China's largest academic libraries.

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3-manifold

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space.

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Redirects here:

DoctorYau, Dr. Yau, Qiu Chengtong, Qiū Chéngtóng, S T Yau, S-T. Yau, S. T. Yau, S.-T. Yau, S.T. Yau, Shing Tung Yau, Shing-tung Yau, Shing-tung yau, Tian-Yau affair, Yau Shing Tung, Yau-Tian affair, Yau-Tian conflict, 丘成桐.

References

[1] https://en.wikipedia.org/wiki/Shing-Tung_Yau

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