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Jean Bourgain
Jean Louis, baron Bourgain (; – ) was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical physics. Biography Bourgain received his PhD from the Vrije Universiteit Brussel in 1977. He was a faculty member at the University of Illinois Urbana-Champaign and, from 1985 until 1995, professor at Institut des Hautes Études Scientifiques at Bures-sur-Yvette in France, at the Institute for Advanced Study in Princeton, New Jersey from 1994 until 2018. He was an editor for the ''Annals of Mathematics''. From 2012 to 2014, he was a visiting scholar at UC Berkeley. His research work included several areas of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, analytic number theory, combinatorics, ergodic theory, partial differential equat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ostend
Ostend ( ; ; ; ) is a coastal city and municipality in the province of West Flanders in the Flemish Region of Belgium. It comprises the boroughs of Mariakerke, Raversijde, Stene and Zandvoorde, and the city of Ostend proper – the largest on the Belgian coast. History Middle Ages In the Early Middle Ages, Ostend was a small village built on the east-end () of an island (originally called Testerep) between the North Sea and a beach lake. Although small, the village rose to the status of "town" around 1265, when the inhabitants were allowed to hold a market and to build a market hall. The major source of income for the inhabitants was fishing. The North Sea coastline has always been rather unstable due to the power of the water. In 1395 the inhabitants decided to build a new Ostend behind large dikes and further away from the always-threatening sea. 15th–18th centuries The strategic position on the North Sea coast had major advantages for Ostend as a harbour ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ostrowski Prize
The Ostrowski Prize is a mathematics award given biennially for outstanding research accomplishments in mathematics and numerical analysis. Alexander Ostrowski, a longtime professor at the University of Basel, left his estate to the Ostrowski Foundation in order to establish the prize. Recipients * 1989: Louis de Branges * 1991: Jean Bourgain * 1993: Miklós Laczkovich and Marina Ratner * 1995: Andrew J. Wiles * 1997: Yuri V. Nesterenko and Gilles I. Pisier * 1999: Alexander A. Beilinson and Helmut H. Hofer * 2001: Henryk Iwaniec, Peter Sarnak, and Richard L. Taylor * 2003: Paul Seymour * 2005: Ben Green and Terence Tao * 2007: Oded Schramm * 2009: Sorin Popa * 2011: Ib Madsen, David Preiss, and Kannan Soundararajan * 2013: Yitang Zhang * 2015: Peter Scholze * 2017: Akshay Venkatesh * 2019: Assaf Naor * 2021: * 2023: Jacob Tsimerman See also * List of mathematics awards This list of mathematics awards contains articles about notable awards for mathematics. The l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Princeton, New Jersey
The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Princeton Township, New Jersey, Princeton Township, both of which are now defunct. As of the 2020 United States census, the borough's population was 30,681, an increase of 2,109 (+7.4%) from the 2010 United States census, 2010 census combined count of 28,572. In the 2000 United States census, 2000 census, the two communities had a total population of 30,230, with 14,203 residents in the borough and 16,027 in the township. Princeton was founded before the American Revolutionary War. The borough is the home of Princeton University, one of the world's most acclaimed research universities, which bears its name and moved to the community in 1756 from the educational institution's previous location in Newark, New Jersey, Newark. Although its associ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bures-sur-Yvette
Bures-sur-Yvette (, "Bures-on- Yvette") is a commune in the Essonne department in the Île-de-France region in Northern France. It is a southern Parisian outer suburb in the Vallée de Chevreuse, with a population of 9,254 as of 2021. Geography Bures-sur-Yvette is located in the Vallée de Chevreuse on the river Yvette, along which the RER B line is laid. The stations on the line serving the commune are Bures-sur-Yvette and La Hacquinière. Adjacent communes are Orsay, Gif-sur-Yvette, Gometz-le-Châtel and Les Ulis. The small town is also twinned with Crewkerne, England. Demographics Inhabitants of Bures-sur-Yvette are known as ''Buressois'' (masculine) and ''Buressoises'' (feminine) in French. Research Bures-sur-Yvette hosts the greater part of the Orsay campus of the University of Paris-Sud (Paris XI), as well as the Institut des Hautes Études Scientifiques (IHÉS). See also *Communes of the Essonne department The following is a list of the 194 communes of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institut Des Hautes Études Scientifiques
The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics (also with a small theoretical biology group). It is located in Bures-sur-Yvette, just south of Paris. It is an independently governed research institute and a founding member of the University of Paris-Saclay. History The IHÉS was founded in 1958 by businessman and mathematical physicist Léon Motchane with the help of Robert Oppenheimer and Jean Dieudonné as a research centre in France, modeled on the renowned Institute for Advanced Study in Princeton, United States. The strong personality of Alexander Grothendieck and the broad sweep of his revolutionizing theories were a dominating feature of the first ten years at the IHÉS. René Thom received an invitation from IHÉS in 1963 and after his appointment remained there until his death in 2002. Dennis Sullivan is rememb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Physics
Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics, known as physical mathematics. Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical parts of our world. Classical mechanics Applying the techniques of mathematical physics to classical mechanics typically involves the rigorous, abstract, and advanced reformulation of Newtonian mechanics in terms of Lagrangian mechanics and Hamiltonian mechanics (including both approaches in the presence of constraints). Both formulations are embodied in analytical mechanics and lead ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear Partial Differential Equation
In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear system, nonlinear terms. They describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to solve problems such as the Poincaré conjecture and the Calabi conjecture. They are difficult to study: almost no general techniques exist that work for all such equations, and usually each individual equation has to be studied as a separate problem. The distinction between a linear and a nonlinear partial differential equation is usually made in terms of the properties of the Operator (mathematics), operator that defines the PDE itself. Methods for studying nonlinear partial differential equations Existence and uniqueness of solutions A fundamental question for any PDE is the existence and uniqueness of a solution for given boundary conditions. For nonlinear equations these questions are in general very hard: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ergodic Theory
Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behavior of time averages of various functions along trajectories of dynamical systems. The notion of deterministic dynamical systems assumes that the equations determining the dynamics do not contain any random perturbations, noise, etc. Thus, the statistics with which we are concerned are properties of the dynamics. Ergodic theory, like probability theory, is based on general notions of measure theory. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical system when it is allowed to run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of the phase space eventua ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic analysis has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis, spectral analysis, and neuroscience. The term "harmonics" originated from the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are integer multiples of one another, as are the freq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steele Prize
The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have been given since 1970, from a bequest of Leroy P. Steele, and were set up in honor of George David Birkhoff, William Fogg Osgood and William Caspar Graustein. The way the prizes are awarded was changed in 1976 and 1993, but the initial aim of honoring expository writing as well as research has been retained. The prizes of $5,000 are not given on a strict national basis, but relate to mathematical activity in the USA, and writing in English (originally, or in translation). Steele Prize for Lifetime Achievement *2025 Dusa McDuff *2024 Haïm Brezis *2023 Nicholas M. Katz *2022 Richard P. Stanley *2021 Spencer Bloch *2020 Karen Uhlenbeck *2019 Jeff Cheeger *2018 Jean Bourgain *2017 James G. Arthur *2016 Barry Simon *2015 Victor Kac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Breakthrough Prize In Mathematics
The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013. It is funded by Yuri Milner and Mark Zuckerberg and others. The annual award comes with a cash gift of $3 million. The Breakthrough Prize Board also selects up to three laureates for the New Horizons in Mathematics Prize, which awards $100,000 to early-career researchers. Starting in 2021 (prizes announced in September 2020), the $50,000 Maryam Mirzakhani New Frontiers Prize is also awarded to a number of women mathematicians who have completed their PhDs within the past two years. Motivation The founders of the prize have stated that they want to help scientists to be perceived as celebrities again, and to reverse a 50-year "downward trend". They hope that this may make "more young students aspire to be scientists". Laureates New Horizons in Mathematics Prize The past laureates of the ''New Horizons in Mathematics'' prize are: *2016 **André Arroja Neves **Larry Guth **( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
