Andrew Wiles
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Andrew Wiles
Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specializing in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal by the Royal Society. He was appointed Knight Commander of the Order of the British Empire in 2000, and in 2018, was appointed the first Regius Professor of Mathematics at Oxford. Wiles is also a MacArthur Fellows Program, 1997 MacArthur Fellow. Education and early life Wiles was born on 11 April 1953 in Cambridge, England, Cambridge, England, the son of Maurice Wiles, Maurice Frank Wiles (1923–2005) and Patricia Wiles (née Mowll). From 1952-1955, his father worked as the chaplain at Ridley Hall, Cambridge, and later became the Regius Professor of Divinity at the University of Oxford. Wiles attended King's College School, Cambridge, and The Leys School, Cambridge. Wiles states that h ...
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Pierre Deligne
Pierre René, Viscount Deligne (; born 3 October 1944) is a Belgian mathematician. He is best known for work on the Weil conjectures, leading to a complete proof in 1973. He is the winner of the 2013 Abel Prize, 2008 Wolf Prize, 1988 Crafoord Prize, and 1978 Fields Medal. Early life and education Deligne was born in Etterbeek, attended school at Athénée Adolphe Max and studied at the Université libre de Bruxelles (ULB), writing a dissertation titled ''Théorème de Lefschetz et critères de dégénérescence de suites spectrales'' (Theorem of Lefschetz and criteria of degeneration of spectral sequences). He completed his doctorate at the University of Paris-Sud in Orsay 1972 under the supervision of Alexander Grothendieck, with a thesis titled ''Théorie de Hodge''. Career Starting in 1972, Deligne worked with Grothendieck at the Institut des Hautes Études Scientifiques (IHÉS) near Paris, initially on the generalization within scheme theory of Zariski's main theorem. In 196 ...
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Christopher Skinner
Christopher McLean Skinner (born June 4, 1972) is an American mathematician working in number theory and arithmetic aspects of the Langlands program. He specialises in algebraic number theory. Skinner was a Packard Foundation Fellow from 2001 to 2006, and was named an inaugural fellow of the American Mathematical Society in 2013. In 2015, he was named a Simons Investigator in Mathematics. He was an invited speaker at the International Congress of Mathematicians in Madrid in 2006. Career Skinner graduated from the University of Michigan in 1993. After completing his PhD with Andrew Wiles in 1997, he moved to the University of Michigan as an assistant professor. Since 2006, he has been a Professor of Mathematics at the Princeton University. In joint work with Andrew Wiles, Skinner proved modularity results for residually reducible Galois representations. Together with Eric Urban, he proved many cases of Iwasawa–Greenberg main conjectures for a large class of modular forms. As ...
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NAS Award In Mathematics
The Maryam Mirzakhani Prize in Mathematics (ex-NAS Award in Mathematics until 2012) is awarded by the U.S. National Academy of Sciences "for excellence of research in the mathematical sciences published within the past ten years." Named after the Iranian mathematician Maryam Mirzakhani, the prize has been awarded every four years since 1988.. Award winners SourceNAS* 2022: Camillo De Lellis "for his fundamental contributions to the study of dissipative solutions to the incompressible Euler equations and to the regularity theory of minimal surfaces." * 2020: Larry Guth "for developing surprising, original, and deep connections between geometry, analysis, topology, and combinatorics, which have led to the solution of, or major advances on, many outstanding problems in these fields." * 2012: Michael J. Hopkins "For his leading role in the development of homotopy theory, which has both reinvigorated algebraic topology as a central field in mathematics and led to the resolution of ...
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Royal Medal
The Royal Medal, also known as The Queen's Medal and The King's Medal (depending on the gender of the monarch at the time of the award), is a silver-gilt medal, of which three are awarded each year by the Royal Society, two for "the most important contributions to the advancement of natural knowledge" and one for "distinguished contributions in the applied sciences", done within the Commonwealth of Nations. Background The award was created by George IV of the United Kingdom, George IV and awarded first during 1826. Initially there were two medals awarded, both for the most important discovery within the year previous, a time period which was lengthened to five years and then shortened to three. The format was endorsed by William IV of the United Kingdom, William IV and Victoria of the United Kingdom, Victoria, who had the conditions changed during 1837 so that mathematics was a subject for which a Royal Medal could be awarded, albeit only every third year. The conditions were chang ...
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Wolf Prize In Mathematics
The Wolf Prize in Mathematics is awarded almost annually by the Wolf Foundation in Israel. It is one of the six Wolf Prizes established by the Foundation and awarded since 1978; the others are in Agriculture, Chemistry, Medicine, Physics and Arts. According to a reputation survey conducted in 2013 and 2014, the Wolf Prize in Mathematics is the third most prestigious international academic award in mathematics, after the Abel Prize and the Fields Medal. Until the establishment of the Abel Prize, it was probably the closest equivalent of a "Nobel Prize in Mathematics", since the Fields Medal is awarded every four years only to mathematicians under the age of 40. Laureates Laureates per country Below is a chart of all laureates per country (updated to 2022 laureates). Some laureates are counted more than once if have multiple citizenship. Notes See also * List of mathematics awards References External links * * * Israel-Wolf-Prizes 2015Jerusalempost Wolf Prizes ...
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Fermat Prize
The Fermat prize of mathematical research biennially rewards research works in fields where the contributions of Pierre de Fermat have been decisive: * Statements of variational principles * Foundations of probability and analytic geometry * Number theory. The spirit of the prize is focused on rewarding the results of research accessible to the greatest number of professional mathematicians within these fields. The Fermat prize was created in 1989 and is awarded once every two years in Toulouse by the Institut de Mathématiques de Toulouse. The amount of the Fermat prize has been fixed at 20,000 Euros for the twelfth edition (2011). Previous prize winners Pierre Fermat medal There has also been a ''Pierre Fermat medal'', which has been awarded for example to chemist Linus Pauling (1957), mathematician Ernst Peschl (1965) and botanist Francis Raymond Fosberg. Junior Fermat Prize The Junior Fermat Prize is a mathematical prize, awarded every two years to a student in the ...
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Ostrowski Prize
The Ostrowski Prize is a mathematics award given every odd year for outstanding mathematical achievement judged by an international jury from the universities of Basel, Jerusalem, Waterloo and the academies of Denmark and the Netherlands. Alexander Ostrowski, a longtime professor at the University of Basel, left his estate to the foundation in order to establish a prize for outstanding achievements in pure mathematics and the foundations of numerical mathematics. It currently carries a monetary award of 100,000 Swiss francs. Recipients * 1989: Louis de Branges (France / United States) * 1991: Jean Bourgain (Belgium) * 1993: Miklós Laczkovich (Hungary) and Marina Ratner (Russia / United States) * 1995: Andrew J. Wiles (UK) * 1997: Yuri V. Nesterenko (Russia) and Gilles I. Pisier (France) * 1999: Alexander A. Beilinson (Russia / United States) and Helmut H. Hofer (Switzerland / United States) * 2001: Henryk Iwaniec (Poland / United States) and Peter Sar ...
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Rolf Schock Prizes
The Rolf Schock Prizes were established and endowed by bequest of philosopher and artist Rolf Schock (1933–1986). The prizes were first awarded in Stockholm, Sweden, in 1993 and, since 2005, are awarded every three years. Each recipient currently receives SEK 400,000 (approximately US$60,000). A similar prize is the Kyoto Prize in Arts and Philosophy, established by the Inamori Foundation. It is considered the equivalent of the Nobel Prize in Philosophy. The Prizes are awarded in four categories and decided by committees of three of the Swedish Royal Academies: *Logic and Philosophy (decided by the Royal Swedish Academy of Sciences) *Mathematics (decided by the Royal Swedish Academy of Sciences) *Visual Arts (decided by the Royal Swedish Academy of Arts) * Musical Arts (decided by the Royal Swedish Academy of Music) Laureates in Logic and Philosophy Laureates in Mathematics Laureates in Visual Arts Laureates in Musical Arts See also *Fields Medal * Kyoto Prize in A ...
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Whitehead Prize
The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C. Whitehead. More specifically, people being considered for the award must be resident in the United Kingdom on 1 January of the award year or must have been educated in the United Kingdom. Also, the candidates must have less than 15 years of work at the postdoctorate level and must not have received any other prizes from the Society. Since the inception of the prize, no more than two could be awarded per year, but in 1999 this was increased to four "to allow for the award of prizes across the whole of mathematics, including applied mathematics, mathematical physics, and mathematical aspects of computer science". The Senior Whitehead Prize has similar residence requirements and rules concerning prior prizes, but is intended to recognize more exp ...
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Main Conjecture Of Iwasawa Theory
In mathematics, the main conjecture of Iwasawa theory is a deep relationship between ''p''-adic ''L''-functions and ideal class groups of cyclotomic fields, proved by Kenkichi Iwasawa for primes satisfying the Kummer–Vandiver conjecture and proved for all primes by . The Herbrand–Ribet theorem and the Gras conjecture are both easy consequences of the main conjecture. There are several generalizations of the main conjecture, to totally real fields,, CM fields, elliptic curves, and so on. Motivation was partly motivated by an analogy with Weil's description of the zeta function of an algebraic curve over a finite field in terms of eigenvalues of the Frobenius endomorphism on its Jacobian variety. In this analogy, * The action of the Frobenius corresponds to the action of the group Γ. * The Jacobian of a curve corresponds to a module ''X'' over Γ defined in terms of ideal class groups. * The zeta function of a curve over a finite field corresponds to a ''p''-adic ''L''-func ...
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Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers , , and satisfy the equation for any integer value of greater than 2. The cases and have been known since antiquity to have infinitely many solutions.Singh, pp. 18–20. The proposition was first stated as a theorem by Pierre de Fermat around 1637 in the margin of a copy of '' Arithmetica''. Fermat added that he had a proof that was too large to fit in the margin. Although other statements claimed by Fermat without proof were subsequently proven by others and credited as theorems of Fermat (for example, Fermat's theorem on sums of two squares), Fermat's Last Theorem resisted proof, leading to doubt that Fermat ever had a correct proof. Consequently the proposition became known as a conjecture rather than a theorem. After 358 years of effort by mathematicians, the first successful proof was released in 1994 by Andrew Wiles and form ...
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