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Gérard Huet

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Gérard Pierre Huet ( French: [y.ɛ] ; born 7 July 1947) is a French computer scientist, linguist and mathematician. He is senior research director at INRIA and mostly known for his major and seminal contributions to type theory , programming language theory and to the theory of computation .

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29-657: Gérard Huet graduated from the Université Denis Diderot (Paris VII), Case Western Reserve University , and the Université de Paris . He is senior research director at INRIA , a member of the French Academy of Sciences , and a member of Academia Europaea . Formerly he was a visiting professor at Asian Institute of Technology in Bangkok , a visiting professor at Carnegie Mellon University , and

58-555: A chance at last to meet a mathematician whom I know only through his work and for whom I have the greatest respect and admiration." In 1982, the congress was due to be held in Warsaw but had to be rescheduled to the next year, because of martial law introduced in Poland on 13 December 1981. The awards were announced at the ninth General Assembly of the IMU earlier in the year and awarded at

87-503: A guest researcher at SRI International . He is the author of a unification algorithm for simply typed lambda calculus , and of a complete proof method for Church 's theory of types ( constrained resolution ). He worked on the Mentor program editor in 1974–1977 with Gilles Kahn . He worked on the Knuth –Bendix (KB) equational proof system in 1978–1984 with Jean-Marie Hullot . He led

116-620: Is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields . The Fields Medal is regarded as one of the highest honors a mathematician can receive, and has been described as

145-484: Is made of 14KT gold, has a diameter of 63.5mm, and weighs 169g. Translation: "Mathematicians gathered from the entire world have awarded [understood but not written: 'this prize'] for outstanding writings." In the background, there is the representation of Archimedes' tomb , with the carving illustrating his theorem On the Sphere and Cylinder , behind an olive branch. (This is the mathematical result of which Archimedes

174-568: Is often described as the Nobel Prize of Mathematics . Unlike the Nobel Prize, the Fields Medal is only awarded every four years. The Fields Medal also has an age limit: a recipient must be under age 40 on 1 January of the year in which the medal is awarded. The under-40 rule is based on Fields's desire that "while it was in recognition of work already done, it was at the same time intended to be an encouragement for further achievement on

203-656: Is working on Eilenberg machines and on the formal structure of Sanskrit . He is webmaster of the Sanskrit Heritage Site. Huet received the Herbrand Award in 1998 and received the EATCS Award in 2009. Universit%C3%A9 Denis Diderot Paris Diderot University , also known as Paris 7 ( French : Université Paris Diderot ), was a French university located in Paris , France . It

232-772: The Sorbonne Paris University Group on 31 March 2010. It merged with the Paris Descartes University in 2019, gaining its new appellation, the University of Paris . There are: Paris Diderot University offers courses in many fields, each taught in a different sections of the university called UFR - Unité de Formation et de Recherche (Unity of Teaching and Research). There are: 48°49′47″N 2°22′51″E  /  48.82972°N 2.38083°E  / 48.82972; 2.38083 Fields Medal The Fields Medal

261-556: The 1983 Warsaw congress. In 1990, Edward Witten became the first physicist to win the award. In 1998, at the ICM, Andrew Wiles was presented by the chair of the Fields Medal Committee, Yuri I. Manin , with the first-ever IMU silver plaque in recognition of his proof of Fermat's Last Theorem . Don Zagier referred to the plaque as a "quantized Fields Medal". Accounts of this award frequently make reference that at

290-483: The Fields Medal came closely after the Abel Prize as the second most prestigious international award in mathematics. The prize includes a monetary award which, since 2006, has been CA$ 15,000. Fields was instrumental in establishing the award, designing the medal himself, and funding the monetary component, though he died before it was established and his plan was overseen by John Lighton Synge . The medal

319-476: The Fields Medal. The most recent group of Fields Medalists received their awards on 5 July 2022 in an online event which was live-streamed from Helsinki, Finland. It was originally meant to be held in Saint Petersburg , Russia, but was moved following the 2022 Russian invasion of Ukraine . The Fields Medal has for a long time been regarded as the most prestigious award in the field of mathematics and

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348-733: The First International Symposium in Sanskrit Computational Linguistics in 2007. He was coordinator of the ESPRIT European projects Logical Frameworks, then TYPES, from 1990 to 1995. He has made major contributions to the theory of unification and to the development of typed functional programming languages, in particular Caml . More recently he has been a scholar on computational linguistics in Sanskrit . In particular, he

377-749: The Formel project in the 1980s, which developed the Caml programming language. He designed the calculus of constructions in 1984 with Thierry Coquand . He led the Coq project in the 1990s with Christine Paulin-Mohring , who developed the Coq proof assistant . He invented the zipper data structure in 1996. He was Head of International Relations for INRIA in 1996–2000. He designed the Zen Computational Linguistics toolkit in 2000–2004. He organized

406-757: The ICM, held in Moscow, to protest Soviet military actions taking place in Eastern Europe. Léon Motchane , founder and director of the Institut des Hautes Études Scientifiques , attended and accepted Grothendieck's Fields Medal on his behalf. In 1970, Sergei Novikov , because of restrictions placed on him by the Soviet government, was unable to travel to the congress in Nice to receive his medal. In 1978, Grigory Margulis , because of restrictions placed on him by

435-867: The Institute of Logical Foundations of Functional Programming during the Year of Programming at the University of Texas at Austin in Spring 1987. He organised the Colloquium “Proving and Improving Programs’’ in Arc-et-Senans in 1975, the 5th International Conference on Automated Deduction (CADE) in Les Arcs in 1980, the Logic in Computer Science Symposium (LICS) in Paris in 1994, and

464-404: The Nobel Prize of Mathematics , although there are several major differences, including frequency of award, number of awards, age limits, monetary value, and award criteria. According to the annual Academic Excellence Survey by ARWU , the Fields Medal is consistently regarded as the top award in the field of mathematics worldwide, and in another reputation survey conducted by IREG in 2013–14,

493-464: The Soviet government, was unable to travel to the congress in Helsinki to receive his medal. The award was accepted on his behalf by Jacques Tits , who said in his address: "I cannot but express my deep disappointment—no doubt shared by many people here—in the absence of Margulis from this ceremony. In view of the symbolic meaning of this city of Helsinki, I had indeed grounds to hope that I would have

522-714: The faculties of Science, of Medicine and of Humanities chose then to create a new multidisciplinary university. It adopted its current name in 1994 after the 18th-century French philosopher, art critic and writer Denis Diderot . Formerly based at the Jussieu Campus , in the 5th arrondissement , the university moved to a new campus in the 13th arrondissement , in the Paris Rive Gauche neighbourhood. The first buildings were brought into use in 2006. The university had many facilities in Paris and two in other places of

551-418: The first Iranian as well as the first woman to win the Fields Medal, and Artur Avila became the first South American and Manjul Bhargava became the first person of Indian origin to do so. In 2022, Maryna Viazovska became the first Ukrainian to win the Fields Medal, and June Huh became the first person of Korean ancestry to do so. The medal was designed by Canadian sculptor R. Tait McKenzie . It

580-401: The general area. In 2012, the university completed its move in its new ultramodern campus. Paris Diderot University was a founding member of the higher education and research alliance Sorbonne Paris Cité , a public institution for scientific co-operation, bringing together four renowned Parisian universities and four higher education and research institutes. The university became a member of

609-489: The medal. In certain years, the Fields medalists have been officially cited for particular mathematical achievements, while in other years such specificities have not been given. However, in every year that the medal has been awarded, noted mathematicians have lectured at the International Congress of Mathematicians on each medalist's body of work. In the following table, official citations are quoted when possible (namely for

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638-455: The part of the recipients and a stimulus to renewed effort on the part of others." Moreover, an individual can only be awarded one Fields Medal; winners are ineligible to be awarded future medals. First awarded in 1936, 64 people have won the medal as of 2022. With the exception of two PhD holders in physics ( Edward Witten and Martin Hairer ), only people with a PhD in mathematics have won

667-488: The time of the award Wiles was over the age limit for the Fields medal. Although Wiles was slightly over the age limit in 1994, he was thought to be a favorite to win the medal; however, a gap (later resolved by Taylor and Wiles) in the proof was found in 1993. In 2006, Grigori Perelman , who proved the Poincaré conjecture , refused his Fields Medal and did not attend the congress. In 2014, Maryam Mirzakhani became

696-476: The university was famous for its teaching in science, especially in mathematics. Many fundamental results of the theory of probability were discovered at one of its research centres, the Laboratoire de Probabilités et Modèles Aléatoires (Laboratory of Probability and Random Models). Paris Diderot University was one of the heirs of the old University of Paris , which ceased to exist in 1970. Professors from

725-1325: The years 1958, 1998, and every year since 2006). For the other years through 1986, summaries of the ICM lectures, as written by Donald Albers, Gerald L. Alexanderson , and Constance Reid , are quoted. In the remaining years (1990, 1994, and 2002), part of the text of the ICM lecture itself has been quoted. The upcoming Fields Medal ceremony is scheduled for 2026, taking place in Philadelphia , US. Moscow State University , Russia University of Maryland-College Park , US University of Florida , US Collège de France , France Ohio State University , US Vanderbilt University , US École polytechnique , France University of California, San Diego , US University of Cambridge , UK Rutgers University , US Rutgers University , US University of California, Berkeley , US Princeton University , US Institute for Advanced Study , US Institute for Advanced Study, US St. Petersburg State University , Russia Institut Henri Poincaré , France Institut Henri Poincaré , France CNRS , France Instituto Nacional de Matemática Pura e Aplicada , Brazil Instituto Nacional de Matemática Pura e Aplicada , Brazil University of Geneva , Switzerland University of Geneva , Switzerland The medal

754-472: Was first awarded in 1936 to Finnish mathematician Lars Ahlfors and American mathematician Jesse Douglas , and it has been awarded every four years since 1950. Its purpose is to give recognition and support to younger mathematical researchers who have made major contributions. In 2014, the Iranian mathematician Maryam Mirzakhani became the first female Fields Medalist. In total, 64 people have been awarded

783-562: Was first awarded in 1936 to the Finnish mathematician Lars Ahlfors and the American mathematician Jesse Douglas , and it has been awarded every four years since 1950. Its purpose is to give recognition and support to younger mathematical researchers who have made major contributions. In 1954, Jean-Pierre Serre became the youngest winner of the Fields Medal, at 27. He retains this distinction. In 1966, Alexander Grothendieck boycotted

812-459: Was one of the inheritors of the historic University of Paris , which was split into 13 universities in 1970. Paris Diderot merged with Paris Descartes University in 2019 to form the University of Paris, which was later renamed Paris Cité University . With two Nobel Prize laureates, two Fields Medal winners and two former French Ministers of Education among its faculty or former faculty,

841-434: Was reportedly most proud: Given a sphere and a circumscribed cylinder of the same height and diameter, the ratio between their volumes is equal to 2 ⁄ 3 .) The rim bears the name of the prizewinner. The Fields Medal has had two female recipients, Maryam Mirzakhani from Iran in 2014, and Maryna Viazovska from Ukraine in 2022. The Fields Medal gained some recognition in popular culture due to references in

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