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André Neves
André da Silva Graça Arroja Neves (born 1975, Lisbon) is a Portuguese mathematician and a professor at the University of Chicago. He joined the faculty of the University of Chicago in 2016. In 2012, jointly with Fernando Codá Marques, he solved the Willmore conjecture. Neves received his Ph.D. in 2005 from Stanford University under the direction of Richard Melvin Schoen. Contributions Jointly with Hugh Bray, they computed the Yamabe invariant of \R \mathbb^3. In 2012, jointly with Fernando Codá Marques, they solved the Willmore conjecture ( Thomas Willmore, 1965). In the same year, jointly with Ian Agol and Fernando Codá Marques, they solved the Freedman–He–Wang conjecture (Freedman–He–Wang, 1994). In 2017, jointly with Kei Irie and Fernando Codá Marques, they solved Yau's conjecture (formulated by Shing-Tung Yau in 1982) in the generic case. Honors and awards He was awarded the Philip Leverhulme Prize in 2012, the LMS Whitehead Prize in 2013, invited spe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lisbon
Lisbon (; pt, Lisboa ) is the capital and largest city of Portugal, with an estimated population of 544,851 within its administrative limits in an area of 100.05 km2. Grande Lisboa, Lisbon's urban area extends beyond the city's administrative limits with a population of around 2.7 million people, being the List of urban areas of the European Union, 11th-most populous urban area in the European Union.Demographia: World Urban Areas - demographia.com, 06.2021 About 3 million people live in the Lisbon metropolitan area, making it the third largest metropolitan area in the Iberian Peninsula, after Madrid and Barcelona. It represents approximately 27% of the country's population. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yamabe Invariant
In mathematics, in the field of differential geometry, the Yamabe invariant, also referred to as the sigma constant, is a real number invariant associated to a smooth manifold that is preserved under diffeomorphisms. It was first written down independently by O. Kobayashi and R. Schoen and takes its name from H. Yamabe. Definition Let M be a compact smooth manifold (without boundary) of dimension n\geq 2. The normalized Einstein–Hilbert functional \mathcal assigns to each Riemannian metric g on M a real number as follows: : \mathcal(g) = \frac, where R_g is the scalar curvature of g and dV_g is the volume density associated to the metric g. The exponent in the denominator is chosen so that the functional is scale-invariant: for every positive real constant c, it satisfies \mathcal(cg) = \mathcal(g). We may think of \mathcal(g) as measuring the average scalar curvature of g over M. It was conjectured by Yamabe that every conformal class of metrics contains a metric of c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scalar Curvature
In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry of the metric near that point. It is defined by a complicated explicit formula in terms of partial derivatives of the metric components, although it is also characterized by the volume of infinitesimally small geodesic balls. In the context of the differential geometry of surfaces, the scalar curvature is twice the Gaussian curvature, and completely characterizes the curvature of a surface. In higher dimensions, however, the scalar curvature only represents one particular part of the Riemann curvature tensor. The definition of scalar curvature via partial derivatives is also valid in the more general setting of pseudo-Riemannian manifolds. This is significant in general relativity, where scalar curvature of a Lorentzian metric is one of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Wolfson Research Merit Award
The Royal Society Wolfson Research Merit Award was an award made by the Royal Society from 2000 to 2020. It was administered by the Royal Society and jointly funded by the Wolfson Foundation and the UK Office of Science and Technology, to provide universities "with additional financial support to attract key researchers to this country or to retain those who might seek to gain higher salaries elsewhere." to tackle the brain drain. They were given in four annual rounds, with up to seven awards per round. In 2020 the scheme was replaced by the Royal Society Wolfson Fellowship, described by the Royal Society as providing ''long-term flexible funding for senior career researchers recruited or retained to a UK university or research institution in fields identified as a strategic priority for the host department or organisation.'' Recipients Winners of this award (see Royal Society Wolfson Research Merit Award holders) award included: * Sue Black * Samuel L. Braunstein * Martin Br ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of International Congresses Of Mathematicians Plenary And Invited Speakers
This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." The current list of Plenary and Invited Speakers presented here is based on the ICM's post-WW II terminology, in which the one-hour speakers in the morning sessions are called "Plenary Speakers" and the other speakers (in the afternoon sessions) whose talks are included in the ICM published proceedings are called "Invited Speakers". In the pre-WW II congresses the Plenary Speakers were called "Invited Speakers". By congress year 1897, Zürich * Jules Andrade * Léon Autonne *Émile Borel * N. V. Bougaïev *Francesco Brioschi *Hermann Brunn *Cesare Burali-Forti *Charles Jean de la Vallée Poussin *Gustaf Eneström *Federigo Enriques *Gino Fano * Zoel García de Galdeano * Francesco Gerbaldi *Paul Gordan *Jacques Hadamard * Adolf Hurwitz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philip Leverhulme Prize
The Philip Leverhulme Prize is awarded by the Leverhulme Trust to recognise the achievement of outstanding researchers whose work has already attracted international recognition and whose future career is exceptionally promising. The prize scheme makes up to thirty awards of £100,000 a year, across a range of academic disciplines. History and criteria The award is named after Philip Leverhulme who died in 2000. He was the grandson of William Leverhulme, and was the third Viscount Leverhulme. The prizes are payable, in instalments, over a period of two to three years. Prizes can be used for any purpose which can advance the prize-holder’s research, with the exception of enhancing the prize-holder’s salary. Nominees must hold either a permanent post or a long-term fellowship in a UK institution of higher education or research that would extend beyond the duration of the Philip Leverhulme Prize. Those otherwise without salary are not eligible to be nominated. Nominees shou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generic Property
In mathematics, properties that hold for "typical" examples are called generic properties. For instance, a generic property of a class of functions is one that is true of "almost all" of those functions, as in the statements, "A generic polynomial does not have a root at zero," or "A generic square matrix is invertible." As another example, a generic property of a space is a property that holds at "almost all" points of the space, as in the statement, "If is a smooth function between smooth manifolds, then a generic point of is not a critical value of ." (This is by Sard's theorem.) There are many different notions of "generic" (what is meant by "almost all") in mathematics, with corresponding dual notions of "almost none" (negligible set); the two main classes are: * In measure theory, a generic property is one that holds almost everywhere, with the dual concept being null set, meaning "with probability 0". * In topology and algebraic geometry, a generic property is one th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shing-Tung Yau
Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician and the William Caspar Graustein Professor of Mathematics at Harvard University. In April 2022, Yau announced retirement from Harvard to become Chair Professor of mathematics at Tsinghua University. Yau was born in Shantou, China, moved to Hong Kong at a young age, and to the United States in 1969. He was awarded the Fields Medal in 1982, in recognition of his contributions to partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered one of the major contributors to the development of modern differential geometry and geometric analysis. The impact of Yau's work can be seen in the mathematical and physical fields of differential geometry, partial differential equations, convex geometry, algebraic geometry, enumerative geometry, mirror symmetry, general relativity, and string theory, while his work has also touched upon applied ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yau's Conjecture
In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the first problem in the minimal submanifolds section in Yau's list of open problems. The conjecture has recently been claimed by Kei Irie, Fernando Codá Marques and André Neves in the generic Generic or generics may refer to: In business * Generic term, a common name used for a range or class of similar things not protected by trademark * Generic brand, a brand for a product that does not have an associated brand or trademark, other ... case, and by Antoine Song in full generality. References Further reading * (Problem 88) Conjectures Unsolved problems in geometry Differential geometry {{differential-geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Freedman
Michael Hartley Freedman (born April 21, 1951) is an American mathematician, at Microsoft Station Q, a research group at the University of California, Santa Barbara. In 1986, he was awarded a Fields Medal for his work on the 4-dimensional generalized Poincaré conjecture. Freedman and Robion Kirby showed that an exotic ℝ4 manifold exists. Life and career Freedman was born in Los Angeles, California, in the United States. His father, Benedict Freedman, was an American Jewish aeronautical engineer, musician, writer, and mathematician. His mother, Nancy Mars Freedman, performed as an actress and also trained as an artist. His parents cowrote a series of novels together. . He entered the University of California, Berkeley, but dropped out after two semesters. In the same year he wrote a letter to Ralph Fox, a Princeton professor at the time, and was admitted to graduate school so in 1968 he continued his studies at Princeton University where he received Ph.D. degree in 1973 fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
