Artur Ávila
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Artur Ávila
Artur Avila Cordeiro de Melo (born 29 June 1979) is a Brazilian and naturalized French mathematician working primarily in the fields of dynamical systems and spectral theory. He is one of the winners of the 2014 Fields Medal, being the first Latin American and lusophone to win such an award. He has been a researcher at both the IMPA and the CNRS (working a half-year in each one). He has been a professor at the University of Zurich since September 2018. Biography At the age of 16, Avila won a gold medal at the 1995 International Mathematical Olympiad and received a scholarship for the Instituto Nacional de Matemática Pura e Aplicada (IMPA) to start a M.S. degree while still attending high school in Colégio de São Bento and Colégio Santo Agostinho in Rio de Janeiro. He completed his M.S. degree in 1997. Later he enrolled in the Federal University of Rio de Janeiro (UFRJ), earning his B.S in mathematics. At the age of 19, Avila began writing his doctoral thesis on the the ...
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Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that ...
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Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ...
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Svetlana Jitomirskaya
Svetlana Yakovlevna Jitomirskaya (born June 4, 1966) is a Soviet-born American mathematician working on dynamical systems and mathematical physics. She is a distinguished professor of mathematics at the University of California, Irvine. She is best known for solving the ten martini problem along with mathematician Artur Avila. Education and career Jitomirskaya was born and grew up in Kharkiv. Both her mother, Valentina Borok, and her father, Yakov Zhitomirskii, were professors of mathematics. Her undergraduate studies were at Moscow State University, where she was a student of, among others, Vladimir Arnold and Yakov Sinai. She obtained her Ph.D. from Moscow State University in 1991 under the supervision of Yakov Sinai. She joined the mathematics department at the University of California, Irvine in 1991 as a lecturer, and she became an assistant professor there in 1994 and a full professor in 2000. Honors In 2005, she was awarded the Ruth Lyttle Satter Prize in Mathematics, ...
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Quanta Magazine
''Quanta Magazine'' is an editorially independent online publication of the Simons Foundation covering developments in physics, mathematics, biology and computer science. ''Undark Magazine'' described ''Quanta Magazine'' as "highly regarded for its masterful coverage of complex topics in science and math." The science news aggregator ''RealClearScience'' ranked ''Quanta Magazine'' first on its list of "The Top 10 Websites for Science in 2018." In 2020, the magazine received a National Magazine Award for General Excellence from the American Society of Magazine Editors for its "willingness to tackle some of the toughest and most difficult topics in science and math in a language that is accessible to the lay reader without condescension or oversimplification." The articles in the magazine are freely available to read online. ''Scientific American'', ''Wired'', ''The Atlantic'', and ''The Washington Post'', as well as international science publications like ''Spektrum der Wissensch ...
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Jean-Christophe Yoccoz
Jean-Christophe Yoccoz (29 May 1957 – 3 September 2016) was a French mathematician. He was awarded a Fields Medal in 1994, for his work on dynamical systems. Biography Yoccoz attended the Lycée Louis-le-Grand, during which time he was a silver medalist at the 1973 International Mathematical Olympiad and a gold medalist in 1974. He entered the École Normale Supérieure in 1975, and completed an agrégation in mathematics in 1977. After completing military service in Brazil, he completed his PhD under Michael Herman in 1985 at Centre de mathématiques Laurent-Schwartz, which is a research unit jointly operated by the French National Center for Scientific Research (CNRS) and Ecole polytechnique. He took up a position at the University of Paris-Sud in 1987, and became a professor at the Collège de France in 1997, where he remained until his death. He was a member of Bourbaki. Yoccoz won the Salem Prize in 1988. He was an invited speaker at the International Congress of ...
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Centre National De La Recherche Scientifique
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science Basic research, also called pure research or fundamental research, is a type of scientific research with the aim of improving scientific theories for better understanding and prediction of natural or other phenomena. In contrast, applied resear ... agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings, SCImago Institutions Rankings (SIR), an international ranking of research-focused institutio ...
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Holomorphic Function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space . The existence of a complex derivative in a neighbourhood is a very strong condition: it implies that a holomorphic function is infinitely differentiable and locally equal to its own Taylor series (''analytic''). Holomorphic functions are the central objects of study in complex analysis. Though the term ''analytic function'' is often used interchangeably with "holomorphic function", the word "analytic" is defined in a broader sense to denote any function (real, complex, or of more general type) that can be written as a convergent power series in a neighbourhood of each point in its domain. That all holomorphic functions are complex analytic functions, and vice versa, is a major theorem in complex analysis. Holomorphic functions are also sometimes referred to as ''regular fu ...
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Grupo Globo
Grupo Globo ( en, Globo Group), formerly known as Organizações Globo ( en, Globo Organization), is a Brazilian private mass media conglomerate based in Rio de Janeiro, Brazil. Founded in 1925 by Irineu Marinho, it is the largest media group in Latin America, and one of the world's largest media conglomerates. Grupo Globo's assets comprises over-the-air broadcasting, television and film production, pay television subscription service, streaming media, publishing, and online services. Its main properties include the flagship television network TV Globo; pay television content unit Canais Globo, consisting of cable television networks such as GloboNews, GNT, Multishow, SporTV, Viva, Gloob, and the premium film network Telecine; film production company Globo Filmes; radio operator Sistema Globo de Rádio; magazine and newspaper publishers, Editora Globo and Infoglobo; and the streaming service Globoplay. Grupo Globo also engages in venture capital activities through Globo Ve ...
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Doctor Of Philosophy
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common Academic degree, degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and defend their work before a panel of other experts in the field. The completion of a PhD is often a requirement for employment as a university professor, researcher, or scientist in many fields. Individuals who have earned a Doctor of Philosophy degree may, in many jurisdictions, use the title ''Doctor (title), Doctor'' (often abbreviated "Dr" or "Dr.") with their name, although the proper etiquette associated with this usage may also be subject to the professional ethics of their own scholarly field, culture, or society. Those who teach at ...
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São Paulo Research Foundation
The São Paulo Research Foundation (FAPESP, pt, Fundação de Amparo à Pesquisa do Estado de São Paulo) is a public foundation located in São Paulo, Brazil, with the aim of providing grants, funds and programs to support research, education and innovation of private and public institutions and companies in the state of São Paulo. It was founded in 1962 and is maintained by endowments by the State government which are guaranteed as a fixed percentage of the State's tax, besides the income generated by the financial revenues of its own assets. FAPESP is an important institution for Brazilian science. Its investment on directed and priority projects, such as genomic science and industrial innovation, has resulted in a great international visibility for Brazilian science and technology. It has also supported the use of digital information technologies in São Paulo, such as the Academic Network of São Paulo (the academic Internet provider in the state), SciElo (a digital libra ...
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Colégio De São Bento
Colégio de São Bento is a Benedictine school for boys in Rio de Janeiro, Brazil with a history that dates back more than 150 years. It was founded in 1858 on the hills overlooking Rio de Janeiro's harbor and the Guanabara Bay, by the adjacent Benedictine monastery ( pt, Mosteiro de São Bento). Although the school is still run by the monastery, students who attend it may come from any denomination or religion. All students follow a broad course of study, which includes Theology, Music, Algebra, Geometry, Physics, Chemistry, Biology, Classic Culture, Brazilian and Portuguese Literature, Geography, History, Portuguese, Spanish, French, and English Languages, Philosophy, Sociology, as well the History of Music, Architecture and Fine Arts, among other subjects. The school has been consistently rated the best Brazilian high school by ENEM (National High School Assessment Test), showing the highest ranking of college admissions in the country. Its graduates, who refer to themselves a ...
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Centre National De La Recherche Scientifique
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science Basic research, also called pure research or fundamental research, is a type of scientific research with the aim of improving scientific theories for better understanding and prediction of natural or other phenomena. In contrast, applied resear ... agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings, SCImago Institutions Rankings (SIR), an international ranking of research-focused institutio ...
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