Bas Edixhoven
Sebastiaan Johan Edixhoven (12 March 1962 – 16 January 2022) was a Dutch mathematician who worked in arithmetic geometry. He was a professor at University of Rennes 1 and Leiden University. Education Bas Edixhoven was born on 12 March 1962 in Leiden, Netherlands. Edixhoven graduated from in Zoetermeer in 1980. He then studied at Utrecht University where he graduated with a master's degree in pure mathematics ''cum laude'' in 1985 and a PhD in mathematics in 1989, both under the direction of Frans Oort. His thesis was about modular curves. Career Edixhoven was a Morrey assistant professor at the University of California, Berkeley from 1989 to 1991, after which he returned to Utrecht University. From 1992 to 2002, he was a professor at the University of Rennes 1. He moved to Leiden University as a Professor of Geometry in 2002. In 2004, Edixhoven and Peter Stevenhagen established Leiden's participation in the Algebra, Geometry and Number Theory (ALGANT) collaborative program ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Leiden
Leiden ( ; ; in English language, English and Archaism, archaic Dutch language, Dutch also Leyden) is a List of cities in the Netherlands by province, city and List of municipalities of the Netherlands, municipality in the Provinces of the Netherlands, province of South Holland, Netherlands. The municipality of Leiden has a population of 127,046 (31 January 2023), but the city forms one densely connected agglomeration with its suburbs Oegstgeest, Leiderdorp, Voorschoten and Zoeterwoude with 215,602 inhabitants. The Statistics Netherlands, Netherlands Central Bureau of Statistics (CBS) further includes Katwijk in the agglomeration which makes the total population of the Leiden urban agglomeration 282,207 and in the larger Leiden urban area also Teylingen, Noordwijk, and Noordwijkerhout are included with in total 365,913 inhabitants. Leiden is located on the Oude Rijn (Utrecht and South Holland), Oude Rijn, at a distance of some from The Hague to its south and some from Amsterdam ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Wiles's Proof Of Fermat's Last Theorem
Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves. Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be impossible to prove using previous knowledge by almost all living mathematicians at the time. Wiles first announced his proof on 23 June 1993 at a lecture in Cambridge entitled "Modular Forms, Elliptic Curves and Galois Representations". However, in September 1993 the proof was found to contain an error. One year later on 19 September 1994, in what he would call "the most important moment of isworking life", Wiles stumbled upon a revelation that allowed him to correct the proof to the satisfaction of the mathematical community. The corrected proof was published in 1995. Wiles's proof uses many techniques from algebraic geometry and number theory and has many ramificatio ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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1962 Births
The year saw the Cuban Missile Crisis, which is often considered the closest the world came to a Nuclear warfare, nuclear confrontation during the Cold War. Events January * January 1 – Samoa, Western Samoa becomes independent from New Zealand. * January 3 – The office of Pope John XXIII announces the excommunication of Fidel Castro for preaching communism and interfering with Catholic churches in Cuba. * January 8 – Harmelen train disaster: 93 die in the worst Netherlands, Dutch rail disaster. * January 9 – Cuba and the Soviet Union sign a trade pact. * January 12 – The Indonesian Army confirms that it has begun operations in West Irian. * January 13 – People's Socialist Republic of Albania, Albania allies itself with the People's Republic of China. * January 15 ** Portugal abandons the United Nations General Assembly due to the debate over Angola. ** French designer Yves Saint Laurent (designer), Yves Saint Laurent launches Yves Saint Lau ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Tumor
A neoplasm () is a type of abnormal and excessive growth of tissue. The process that occurs to form or produce a neoplasm is called neoplasia. The growth of a neoplasm is uncoordinated with that of the normal surrounding tissue, and persists in growing abnormally, even if the original trigger is removed. This abnormal growth usually forms a mass, which may be called a tumour or tumor.'' ICD-10 classifies neoplasms into four main groups: benign neoplasms, in situ neoplasms, malignant neoplasms, and neoplasms of uncertain or unknown behavior. Malignant neoplasms are also simply known as cancers and are the focus of oncology. Prior to the abnormal growth of tissue, such as neoplasia, cells often undergo an abnormal pattern of growth, such as metaplasia or dysplasia. However, metaplasia or dysplasia does not always progress to neoplasia and can occur in other conditions as well. The word neoplasm is from Ancient Greek 'new' and 'formation, creation'. Types A neopla ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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European Congress Of Mathematics
The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely between the ICM. The ECM is held under the auspices of the European Mathematical Society (EMS), and was one of its earliest initiatives. It was founded by Max Karoubi and the first edition took place in Paris in 1992. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and society in Europe, and to enhance cooperation among mathematicians from all European countries." Activities The Congresses generally last a week and consist of plenary lectures, parallel (invited) lectures and several mini-symposia devoted to a particular subject, where participants can contribute with posters and short talks. Many editions featured also ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences (, KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory and administrative functions it operates a number of research institutes and awards many prizes, including the Lorentz Medal in theoretical physics, the Dr Hendrik Muller Prize for Behavioural and Social Science and the Heineken Prizes. Main functions The academy advises the Dutch government on scientific matters. While its advice often pertains to genuine scientific concerns, it also counsels the government on such topics as policy on careers for researchers or the Netherlands' contribution to major international projects. The academy offers solicited and unsolicited advice to parliament, ministries, universities and research institutes, funding agencies and international organizations. * Advising the government on matters related to ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Institut Universitaire De France
The Institut Universitaire de France (IUF, Academic Institute of France), is a service of the French Ministry of Higher Education that annually distinguishes a small number of university professors for their research excellence, as evidenced by their international recognition. Only around 2% of French university faculty are members (active or honorary) of the IUF. Organization The Institute was created by decree on 26 August 1991. At least two-thirds of IUF members belong to universities outside Paris. The purpose of the IUF is to encourage the development of high-level, interdisciplinary research in universities. It has three primary objectives: # To encourage institutions and research professors to achieve excellence in research, creating positive impacts on teaching, the training of young researchers and the dissemination of knowledge; # Contribute to the feminization of the research sector; # Foster a balanced distribution of university research across the country, and thus s ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Canon Inc
Canon Inc. (; Hepburn: ) is a Japanese multinational corporation headquartered in Ōta, Tokyo, specializing in optical, imaging, and industrial products, such as lenses, cameras, medical equipment, scanners, printers, and semiconductor manufacturing equipment. Canon has a primary listing on the Tokyo Stock Exchange and is a constituent of the TOPIX Core 30 and Nikkei 225 indexes. It used to have a secondary listing on the New York Stock Exchange. Name The company was originally named (). In 1934, it produced the ''Kwanon'', a prototype for Japan's first-ever 35mm camera with a focal-plane-based shutter. In 1947, the company name was changed to ''Canon Camera Co., Inc.'', shortened to ''Canon Inc.'' in 1969. The name Canon comes from Buddhist bodhisattva (), previously transliterated as Kuanyin, Kwannon, or Kwanon in English. History 1933–1970 The origins of Canon date back to the founding of Precision Optical Instruments Laboratory in Japan in 1933 by Takeshi Mitarai, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Ministry Of Armed Forces (France)
The Ministry of Armed Forces (, , ) is the ministry of the Government of France in charge of managing the French Armed Forces inside and outside French territory. Its head is the Minister of the Armed Forces. From 1947 until 2017, the Ministry was designated the Ministry of Defence (). It is France's ministry of defence. Organisation Minister of the Armed Forces The head of the department is the Minister of the Armed Forces. The current officeholder has been Sébastien Lecornu since 2022. He reports directly to the President of the Republic, the Commander-in-Chief of the French Armed Forces. His mission is to organize and manage the country's Defence Policy in liaison with other departments. He is also in charge of mobilizing troops and managing the military infrastructure. He is responsible for the French Armed forces' security to Parliament. Chief of the Defence Staff The Chief of the Defence Staff (CEMA) reports directly to the Minister. He is in charge of conducting ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Error Detection And Correction
In information theory and coding theory with applications in computer science and telecommunications, error detection and correction (EDAC) or error control are techniques that enable reliable delivery of digital data over unreliable communication channels. Many communication channels are subject to channel noise, and thus errors may be introduced during transmission from the source to a receiver. Error detection techniques allow detecting such errors, while error correction enables reconstruction of the original data in many cases. Definitions ''Error detection'' is the detection of errors caused by noise or other impairments during transmission from the transmitter to the receiver. ''Error correction'' is the detection of errors and reconstruction of the original, error-free data. History In classical antiquity, copyists of the Hebrew Bible were paid for their work according to the number of stichs (lines of verse). As the prose books of the Bible were hardly ever w ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Galois Representations
In mathematics, a Galois module is a ''G''-module, with ''G'' being the Galois group of some extension of fields. The term Galois representation is frequently used when the ''G''-module is a vector space over a field or a free module over a ring in representation theory, but can also be used as a synonym for ''G''-module. The study of Galois modules for extensions of local or global fields and their group cohomology is an important tool in number theory. Examples *Given a field ''K'', the multiplicative group (''Ks'')× of a separable closure of ''K'' is a Galois module for the absolute Galois group. Its second cohomology group is isomorphic to the Brauer group of ''K'' (by Hilbert's theorem 90, its first cohomology group is zero). *If ''X'' is a smooth proper scheme over a field ''K'' then the ℓ-adic cohomology groups of its geometric fibre are Galois modules for the absolute Galois group of ''K''. Ramification theory Let ''K'' be a valued field (with valuation denoted '' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |