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Richard Taylor (mathematician)
Richard Lawrence Taylor (born 19 May 1962) is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University in California. Taylor received the 2002 Cole Prize, the 2007 Shaw Prize with Robert Langlands, and the 2015 Breakthrough Prize in Mathematics. Career He received his B.A. from Clare College, Cambridge.SAVILIAN PROFESSORSHIP OF GEOMETRY in NOTICES, University Gazette 23.3.95 No. 435 During his time at University of Cambridge, Cambridge, he was president of The Archimedeans in 1981 and 1982, following the resignation of his predecessor. He earned his Ph.D. in mathematics from Princeton University in 1988 after completing a doctoral dissertation, titled "On congruences between modular forms", under the supervision of Andrew Wiles. He was an assistant lecturer, lecturer, and then reader at the University of Cambridge from 1988 to 1995. From 1995 to 1996 he held the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Clare College, Cambridge
Clare College is a Colleges of the University of Cambridge, constituent college of the University of Cambridge in Cambridge, England. The college was founded in 1326 as University Hall, making it the second-oldest surviving college of the University after Peterhouse, Cambridge, Peterhouse. It was refounded in 1338 as Clare Hall by an endowment from Elizabeth de Clare, and took on its current name in 1856. Clare is famous for its Choir of Clare College, Cambridge, chapel choir and for its gardens on the Backs (the rear of the colleges that overlook the River Cam). It is a Charitable organization, registered charity. History The college was founded in 1326 by the List of chancellors of the University of Cambridge, university's chancellor, Richard Badew, and was originally named 'University Hall'. Providing maintenance for only two fellows, it soon hit financial hardship. In 1338, the college was refounded as 'Clare Hall' by an endowment from Elizabeth de Clare, a granddaughter of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Clay Research Award
__NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievements in mathematical research. The following mathematicians have received the award: See also * List of mathematics awards This list of mathematics awards contains articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the world. Som ... External links Official web page {{Webarchive, url=https://web.archive.org/web/20180111180359/http://ww ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gorenstein Ring
In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring ''R'' with finite injective dimension as an ''R''-module. There are many equivalent conditions, some of them listed below, often saying that a Gorenstein ring is self-dual in some sense. Gorenstein rings were introduced by Grothendieck in his 1961 seminar (published in ). The name comes from a duality property of singular plane curves studied by (who was fond of claiming that he did not understand the definition of a Gorenstein ring ). The zero-dimensional case had been studied by . and publicized the concept of Gorenstein rings. Frobenius rings are noncommutative analogs of zero-dimensional Gorenstein rings. Gorenstein schemes are the geometric version of Gorenstein rings. For Noetherian local rings, there is the following chain of inclusions. Definitions A Gorenstein ring is a commutative Noetherian ring such that each localization at a prime ideal is a Gorenstein local ring, as de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ehud De Shalit
Ehud de Shalit (; born 16 March 1955) is an Israeli number theorist and professor at the Hebrew University of Jerusalem. Biography Ehud de Shalit was born in Rehovot. His father was Amos de-Shalit. He completed his B.Sc. at the Hebrew University in 1975, and his Ph.D. at Princeton University in 1984 under the supervision of Andrew Wiles. Academic career De Shalit joined the faculty of Hebrew University in 1987 and was promoted to full professor in 2001. He is an editor for the Israel Journal of Mathematics '' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem ( Magnes Press). History Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section .... Published works * * * * * References External links * 1955 births Living people Hebrew University of Jerusalem alumni Academic staff of the Hebrew University of Jerusalem Israeli Jews Israeli mathematici ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taniyama-Shimura Conjecture
In number theory, the modularity theorem states that elliptic curves over the field of rational numbers are related to modular forms in a particular way. Andrew Wiles and Richard Taylor proved the modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of papers by Wiles's former students Brian Conrad, Fred Diamond and Richard Taylor, culminating in a joint paper with Christophe Breuil, extended Wiles's techniques to prove the full modularity theorem in 2001. Before that, the statement was known as the Taniyama–Shimura conjecture, Taniyama–Shimura–Weil conjecture, or the modularity conjecture for elliptic curves. Statement The theorem states that any elliptic curve over \Q can be obtained via a rational map with integer coefficients from the classical modular curve for some integer ; this is a curve with integer coefficients with an explicit definition. This mapping is called a modular parametrization of le ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herchel Smith Professor Of Pure Mathematics
The Herchel Smith Professorship of Pure Mathematics is a professorship in pure mathematics at the University of Cambridge. It was established in 2004 by a benefaction from Herchel Smith "of £14.315m, to be divided into five equal parts, to support the full endowment of five Professorships in the fields of Pure Mathematics, Physics, Biochemistry, Molecular Biology, and Molecular Genetics." When the position was advertised in 2004, the first holder was expected to focus on 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 ( .... List of Herchel Smith Professors of Pure Mathematics * 2006–2013 Ben J. Green * 2019–present Pierre Raphael References Report of the General Board on the establishment of a Herchel Smith Professorship of Pure Mathematics Cambridge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New College, Oxford
New College is a constituent college of the University of Oxford in the United Kingdom. Founded in 1379 by Bishop William of Wykeham in conjunction with Winchester College as New College's feeder school, New College was one of the first colleges in the university to admit and tutor undergraduate students. The college is in the centre of Oxford, between Holywell Street and New College Lane (known for Oxford's Bridge of Sighs). Its sister college is King's College, Cambridge. The choir of New College has recorded over one hundred albums, and has won two Gramophone Awards. History Despite its name, New College is one of the oldest of the Oxford colleges; it was founded in 1379 by William of Wykeham, Bishop of Winchester, as "Saint Mary College of Winchester in Oxenford", with both graduates and undergraduates. It became known as "New College" because there was already a college dedicated to St Mary in Oxford ( Oriel College). Foundation In 1379 William of Wykeh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Savilian Chair Of Geometry
The position of Savilian Professor of Geometry was established at the University of Oxford in 1619. It was founded (at the same time as the Savilian Professorship of Astronomy) by Sir Henry Savile, a mathematician and classical scholar who was Warden of Merton College, Oxford, and Provost of Eton College, reacting to what has been described by one 20th-century mathematician as "the wretched state of mathematical studies in England" at that time. He appointed Henry Briggs as the first professor. Edward Titchmarsh (professor 1931–63) said when applying that he was not prepared to lecture on geometry, and the requirement was removed from the duties of the post to enable his appointment, although the title of the chair was not changed. The two Savilian chairs have been linked with professorial fellowships at New College, Oxford, since the late 19th century. Before then, for over 175 years until the middle of the 19th century, the geometry professors had an official residence adj ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modular Form
In mathematics, a modular form is a holomorphic function on the complex upper half-plane, \mathcal, that roughly satisfies a functional equation with respect to the group action of the modular group and a growth condition. The theory of modular forms has origins in complex analysis, with important connections with number theory. Modular forms also appear in other areas, such as algebraic topology, sphere packing, and string theory. Modular form theory is a special case of the more general theory of automorphic forms, which are functions defined on Lie groups that transform nicely with respect to the action of certain discrete subgroups, generalizing the example of the modular group \mathrm_2(\mathbb Z) \subset \mathrm_2(\mathbb R). Every modular form is attached to a Galois representation. The term "modular form", as a systematic description, is usually attributed to Erich Hecke. The importance of modular forms across multiple field of mathematics has been humorously re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of Postgraduate education, graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North American English, North America), pronounced as three separate letters ( ). The University of Oxford uses the alternative abbreviation "DPhil". PhDs are awarded for programs across the whole breadth of academic fields. Since 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, in some cases, defend their work before a panel of other experts in the field. In many fields, the completion of a PhD is typically required for employment as a university professor, researcher, or scientist. Definition In the context o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Archimedeans
The Archimedeans are the mathematical society of the University of Cambridge, founded in 1935. It currently has over 2000 active members, many of them alumni, making it one of the largest student societies in Cambridge. The society hosts regular talks at the Centre for Mathematical Sciences, including in the past by many well-known speakers in the field of mathematics. It publishes two magazines, ''Eureka'' and ''QARCH''. One of several aims of the society, as laid down in its constitution, is to encourage co-operation between the existing mathematical societies of individual Cambridge colleges, which at present are just the Adams Society of St John's College, Queens' College Mathematics Society and the Trinity Mathematical Society, but in the past have included many more. The society is mentioned in G. H. Hardy's essay A Mathematician's Apology. Past presidents of The Archimedeans include Michael Atiyah and Richard Taylor. Activity The main focus of the society's activi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Cambridge
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
