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Angus Macintyre
Angus John Macintyre FRS, FRSE (born 1941) is a British mathematician and logician who is a leading figure in model theory, logic, and their applications in algebra, algebraic geometry, and number theory. He is Emeritus Professor of Mathematics, at Queen Mary University of London. Education After undergraduate study at the University of Cambridge, he completed his PhD at Stanford University under the supervision of Dana Scott in 1968. Career and research From 1973 to 1985, he was Professor of Mathematics at Yale University. From 1985 to 1999, he was Professor of Mathematical Logic at Merton College at the University of Oxford. In 1999, Macintyre moved to the University of Edinburgh, where he was Professor of Mathematics until 2002, when he moved to Queen Mary College, University of London. Macintyre was the first Scientific Director of the International Centre for Mathematical Sciences (ICMS) in Edinburgh. Macintyre is known for many important results. These include classifi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queen Mary University Of London
Queen Mary University of London (QMUL, or informally QM, and formerly Queen Mary and Westfield College) is a public university, public research university in Mile End, East London, England. It is a member institution of the federal University of London. Today, Queen Mary has six campuses across East and Central London in Mile End, Whitechapel, Charterhouse Square, Ilford, Lincoln's Inn Fields and Smithfield, London, West Smithfield, as well as an international presence in China, France, Greece and Malta. The Mile End campus is the largest self-contained campus of any London-based university. Queen Mary is organised into three faculties – the Faculty of Humanities and Social Sciences, the Faculty of Science and Engineering, and Barts and The London School of Medicine and Dentistry. In 2023/24 the university had around 32,000 students. The annual income of the institution for 2023–24 was £712.2 million of which £146.8 million was from research grants and contracts, with an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. Informal logic examines arguments expressed in natural language whereas formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a specific logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marcus Du Sautoy
Marcus Peter Francis du Sautoy (; born 26 August 1965) is a British mathematician, Simonyi Professor for the Public Understanding of Science at the University of Oxford, Fellow of New College, Oxford and author of popular mathematics and popular science books. He was previously a fellow of All Souls College, Oxford, Wadham College, Oxford and served as president of the Mathematical Association, an Engineering and Physical Sciences Research Council (EPSRC) senior media fellow, and a Royal Society University Research Fellow.Marcus du Sautoy In 1996, he was awarded the titles of distinction awarded by the University of Oxford, title of distinction of Professor of Mathematics. Education and early life Du Sautoy was born in London to Bernard du Sautoy, employed in the computer industry, and Jennifer ( Deason) du Sautoy, who left the Foreign Office to raise her children. He grew up in Henley-on-Thames. His grandfather, Peter du Sautoy, was chairman of the publisher Faber and Faber ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dan Segal
Daniel Segal (born 1947) is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory. He studied at Peterhouse, Cambridge, before taking a PhD at Queen Mary College, University of London, in 1972, supervised by Bertram Wehrfritz, with a dissertation on group theory entitled ''Groups of Automorphisms of Infinite Soluble Groups''. He is an Emeritus Fellow of All Souls College at Oxford, where he was sub-warden from 2006 to 2008. His postgraduate students have included Marcus du Sautoy and Geoff Smith. He is the son of psychoanalyst Hanna Segal and brother of philosopher Gabriel Segal as well as Michael Segal, a senior civil servant. Publications Articles * * * * * * * * * * * Books *''Polycyclic Groups'', Cambridge University Press 19832005 pbk edition*with J. Dixon, M. Du Sautoy, A. Mann ''Analytic pro-p-groups'', Cambridge University Press 1999, [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean-Pierre Serre
Jean-Pierre Serre (; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inaugural Abel Prize in 2003. Biography Personal life Born in Bages, Pyrénées-Orientales, to pharmacist parents, Serre was educated at the Lycée de Nîmes. Then he studied at the École Normale Supérieure in Paris from 1945 to 1948. He was awarded his doctorate from the Sorbonne in 1951. From 1948 to 1954 he held positions at the Centre National de la Recherche Scientifique in Paris. In 1956 he was elected professor at the Collège de France, a position he held until his retirement in 1994. His wife, Professor Josiane Heulot-Serre, was a chemist; she also was the director of the Ecole Normale Supérieure de Jeunes Filles. Their daughter is the former French diplomat, historian and writer Claudine Monteil. The French mathematician D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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 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 improved Gromov's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jan Denef
Jan Denef (born 4 September 1951) is a Belgian mathematician. He is an Emeritus Professor of Mathematics at the Katholieke Universiteit Leuven (KU Leuven). Denef obtained his PhD from KU Leuven in 1975 with a thesis on Hilbert's tenth problem; his advisors were Louis Philippe Bouckaert and Willem Kuijk. He is a specialist of model theory, number theory and algebraic geometry. He is well known for his early work on Hilbert's tenth problem and for developing the theory of motivic integration in a series of papers with François Loeser. He has also worked on computational number theory. Recently he proved a conjecture of Jean-Louis Colliot-Thélène which generalizes the Ax–Kochen theorem. In 2002 Denef was an Invited Speaker at the International Congresses of Mathematicians in Beijing Beijing, Chinese postal romanization, previously romanized as Peking, is the capital city of China. With more than 22 million residents, it is the world's List of national capitals by po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantifier Elimination
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science. Informally, a quantified statement "\exists x such that ..." can be viewed as a question "When is there an x such that ...?", and the statement without quantifiers can be viewed as the answer to that question. One way of classifying formulas is by the amount of quantification. Formulas with less depth of quantifier alternation are thought of as being simpler, with the quantifier-free formulas as the simplest. A theory has quantifier elimination if for every formula \alpha, there exists another formula \alpha_ without quantifiers that is equivalent to it (modulo this theory). Examples An example from mathematics says that a single-variable quadratic polynomial has a real root if and only if its discriminant is non-negative: \exists x\in\mathbb. (a\neq 0 \wedge ax^2+bx+c=0)\ \ \Longleftrightarrow\ \ a\neq 0 \wedge b^2-4ac\geq 0 Here the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Centre For Mathematical Sciences
The International Centre for Mathematical Sciences (ICMS) is a mathematical research centre based in Edinburgh. According to its website, the centre is "designed to bring together mathematicians and practitioners in science, industry and commerce for research workshops and other meetings." The centre was jointly established in 1990 by the University of Edinburgh and Heriot-Watt University, under the supervision of Professor Elmer Rees, with initial support from Edinburgh District Council, the Scottish Development Agency and the International Centre for Theoretical Physics. Its current operations are primarily funded by grants from the Engineering and Physical Sciences Research Council of the UK. In April 1994 the Centre moved to 14 India Street, Edinburgh, the birthplace of James Clerk Maxwell and home of the James Clerk Maxwell Foundation. In 2010 it was relocated to 15 South College Street to accommodate larger events. As of 2020, the ICMS is located within the newly estab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of London
The University of London (UoL; abbreviated as Lond or more rarely Londin in Post-nominal letters, post-nominals) is a collegiate university, federal Public university, public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree-awarding examination board for students holding certificates from University College London, King's College London and "other such institutions, corporate or unincorporated, as shall be established for the purpose of Education, whether within the Metropolis or elsewhere within our United Kingdom". It is one of three institutions to have claimed the title of the Third-oldest university in England debate, third-oldest university in England. It moved to a federal structure with constituent colleges in 1900. It is now incorporated by its fourth (1863) royal charter and governed by the University of London Act 2018 (c. iii). The university consists of Member institutions of the Un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queen Mary College
Queen Mary University of London (QMUL, or informally QM, and formerly Queen Mary and Westfield College) is a public research university in Mile End, East London, England. It is a member institution of the federal University of London. Today, Queen Mary has six campuses across East and Central London in Mile End, Whitechapel, Charterhouse Square, Ilford, Lincoln's Inn Fields and West Smithfield, as well as an international presence in China, France, Greece and Malta. The Mile End campus is the largest self-contained campus of any London-based university. Queen Mary is organised into three faculties – the Faculty of Humanities and Social Sciences, the Faculty of Science and Engineering, and Barts and The London School of Medicine and Dentistry. In 2023/24 the university had around 32,000 students. The annual income of the institution for 2023–24 was £712.2 million of which £146.8 million was from research grants and contracts, with an expenditure of £522.5 million. Quee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Merton College
Merton College (in full: The House or College of Scholars of Merton in the University of Oxford) is a constituent college of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to support it. An important feature of de Merton's foundation was that this "college" was to be self-governing and the endowments were directly vested in the Warden and Fellows. By 1274, when Walter retired from royal service and made his final revisions to the college statutes, the community was consolidated at its present site in the south east corner of the city of Oxford, and a rapid programme of building commenced. The hall and the chapel and the rest of the front quad were complete before the end of the 13th century. Mob Quad, one of Merton's quadrangles, was constructed between 1288 and 1378, and is claimed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
