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Lou Van Den Dries
Laurentius Petrus Dignus "Lou" van den Dries (born May 26, 1951) is a Dutch mathematician working in model theory. He is a professor emeritus of mathematics at the University of Illinois at Urbana–Champaign. Education Van den Dries began his undergraduate studies in 1969 at Utrecht University, and in 1978 completed his PhD there under the supervision of Dirk van Dalen with a dissertation entitled ''Model Theory of Fields''. Career and research Van den Dries was a member of the Institute for Advanced Study in the 1982–1983 academic year. He joined the faculty of the University of Illinois at Urbana–Champaign in 1986 and became a professor in its Center for Advanced Study in 1998. In 2021, van den Dries retired and became a professor emeritus. Van den Dries is most known for his seminal work in o-minimality, but he has also made contributions to the model theory of -adic fields, valued fields, and finite fields, and to the study of transseries. With Alex Wilkie, he improv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Fields
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod when is a prime number. The ''order'' of a finite field is its number of elements, which is either a prime number or a prime power. For every prime number and every positive integer there are fields of order p^k, all of which are isomorphic. Finite fields are fundamental in a number of areas of mathematics and computer science, including number theory, algebraic geometry, Galois theory, finite geometry, cryptography and coding theory. Properties A finite field is a finite set which is a field; this means that multiplication, addition, subtraction and division (excluding division by zero) are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Illinois
Illinois ( ) is a state in the Midwestern United States. Its largest metropolitan areas include the Chicago metropolitan area, and the Metro East section, of Greater St. Louis. Other smaller metropolitan areas include, Peoria and Rockford, as well Springfield, its capital. Of the fifty U.S. states, Illinois has the fifth-largest gross domestic product (GDP), the sixth-largest population, and the 25th-largest land area. Illinois has a highly diverse economy, with the global city of Chicago in the northeast, major industrial and agricultural hubs in the north and center, and natural resources such as coal, timber, and petroleum in the south. Owing to its central location and favorable geography, the state is a major transportation hub: the Port of Chicago has access to the Atlantic Ocean through the Great Lakes and Saint Lawrence Seaway and to the Gulf of Mexico from the Mississippi River via the Illinois Waterway. Additionally, the Mississippi, Ohio, and Wabas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joris Van Der Hoeven
Joris van der Hoeven (born 1971) is a Dutch mathematician and computer scientist, specializing in algebraic analysis and computer algebra. He is the primary developer of GNU TeXmacs. Education and career Joris van der Hoeven received in 1997 his doctorate from Paris Diderot University (Paris 7) with thesis ''Asymptotique automatique''. He is a ''Directeur de recherche'' at the CNRS and head of the team ''Max Modélisation algébrique'' at the Laboratoire d'informatique of the École Polytechnique. Research His research deals with transseries (''i.e.'' generalizations of formal power series) with applications to algebraic analysis and asymptotic solutions of nonlinear differential equations. In addition to transseries' properties as part of differential algebra and model theory, he also examines their algorithmic aspects as well as those of classical complex function theory. He is the main developer of GNU TeXmacs (a free scientific editing platform) and Mathemagix (free s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dugald Macpherson
H. Dugald Macpherson is a mathematician and logician. He is Professor of Pure Mathematics at the University of Leeds. He obtained his DPhil from the University of Oxford in 1983 for his thesis entitled "Enumeration of Orbits of Infinite Permutation Groups" under the supervision of Peter Cameron. In 1997 he was awarded the Junior Berwick Prize by the London Mathematical Society. He continues to research into permutation groups In mathematics, a permutation group is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which are thought of as bijective functions from the set ''M'' to ... and model theory. He is scientist in charge of the MODNET team at the University of Leeds. He co-authored the book ''Notes on Infinite Permutation Groups''. References External links Prof. Macpherson's homepage Year of birth missing (living people) 20th-century British mathematicians 21st-centu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Association For Symbolic Logic
The Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic. The ASL was founded in 1936, and its first president was Alonzo Church. The current president of the ASL is Julia F. Knight. Publications The ASL publishes books and academic journals. Its three official journals are: * ''Journal of Symbolic Logic'(website)– publishes research in all areas of mathematical logic. Founded in 1936, . * ''Bulletin of Symbolic Logic'(website)– publishes primarily expository articles and reviews. Founded in 1995, . * ''Review of Symbolic Logic'(website)– publishes research relating to logic, philosophy, science, and their interactions. Founded in 2008, . In addition, the ASL has a sponsored journal: * ''Journal of Logic and Analysis'(website)– publishes research on the interactions between mathematical logic and pure and applied analysis. Founded in 2009 as an open-access journal, open-access success ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences ( nl, Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: 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 internatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Mathematical Union
The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world. It is a member of the International Science Council (ISC) and supports the International Congress of Mathematicians. Its members are national mathematics organizations from more than 80 countries. The objectives of the International Mathematical Union (IMU) are: promoting international cooperation in mathematics, supporting and assisting the International Congress of Mathematicians (ICM) and other international scientific meetings/conferences, acknowledging outstanding research contributions to mathematics through the awarding of scientific prizes, and encouraging and supporting other international mathematical activities, considered likely to contribute to the development of mathematical science in any of its aspects, whether pure, applied, or educational. The IMU was established in 1920, but dissolved in S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant university and the founding campus of the University of California system. Its fourteen colleges and schools offer over 350 degree programs and enroll some 31,800 undergraduate and 13,200 graduate students. Berkeley ranks among the world's top universities. A founding member of the Association of American Universities, Berkeley hosts many leading research institutes dedicated to science, engineering, and mathematics. The university founded and maintains close relationships with three national laboratories at Berkeley, Livermore and Los Alamos, and has played a prominent role in many scientific advances, from the Manhattan Project and the discovery of 16 chemical elements to breakthroughs in computer science and genomics. Berkeley is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tarski Lectures
The Alfred Tarski Lectures are an annual distinction in mathematical logic and series of lectures held at the University of California, Berkeley. Established in tribute to Alfred Tarski on the fifth anniversary of his death, the award has been given every year since 1989. Tarski Lecturers The list of past Tarski lecturers is maintained by UC Berkeley. See also * Gödel Lecture * Karp Prize * List of mathematics awards * List of philosophy awards * List of logicians A logician is a person who studies logic. Some famous logicians are listed below in English alphabetical transliteration order (by surname). __NOTOC__ A * Peter Abelard (France, 1079–1142) * Wilhelm Ackermann (Germany, 1896–1962) * Serge ... External links Site of the Alfred Tarski Lectures at UC Berkeley Mathematics References {{reflist Mathematics awards Philosophy awards ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999, pp. 3-5 The University of Chicago, which had opened in 1892, organized an International Mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonstandard Analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using (ε, δ)-definition of limit, epsilon–delta procedures rather than infinitesimals. Nonstandard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers. Nonstandard analysis originated in the early 1960s by the mathematician Abraham Robinson. He wrote: ... the idea of infinitely small or ''infinitesimal'' quantities seems to appeal naturally to our intuition. At any rate, the use of infinitesimals was widespread during the formative stages of the Differential and Integral Calculus. As for the objection ... that the distance between two distinct real numbers cannot be infinitely small, Gottfried Wilhelm Leibniz argued that the theory of infinitesimals implies the introduction of ideal numbers which might be inf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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