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Richard Borcherds
Richard Ewen Borcherds (; born 29 November 1959) is a British mathematician currently working in quantum field theory. He is known for his work in lattice (group), lattices, group theory, and infinite-dimensional algebra over a field, algebras, for which he was awarded the Fields Medal in 1998. Early life Borcherds was born in Cape Town, South Africa, but the family moved to Birmingham in the United Kingdom when he was six months old. Education Borcherds was educated at King Edward's School, Birmingham, and Trinity College, Cambridge, where he studied under John Horton Conway. Career After receiving his doctorate in 1985, Borcherds has held various alternating positions at Cambridge and the University of California, Berkeley, serving as Morrey Assistant Professor of Mathematics at Berkeley from 1987 to 1988. He was a Royal Society University Research Fellow. From 1996 he held a Royal Society Research Professorship at Cambridge before returning to Berkeley in 1999 as Profes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cape Town
Cape Town ( af, Kaapstad; , xh, iKapa) is one of South Africa's three capital cities, serving as the seat of the Parliament of South Africa. It is the legislative capital of the country, the oldest city in the country, and the second largest (after Johannesburg). Colloquially named the ''Mother City'', it is the largest city of the Western Cape province, and is managed by the City of Cape Town metropolitan municipality. The other two capitals are Pretoria, the executive capital, located in Gauteng, where the Presidency is based, and Bloemfontein, the judicial capital in the Free State, where the Supreme Court of Appeal is located. Cape Town is ranked as a Beta world city by the Globalization and World Cities Research Network. The city is known for its harbour, for its natural setting in the Cape Floristic Region, and for landmarks such as Table Mountain and Cape Point. Cape Town is home to 66% of the Western Cape's population. In 2014, Cape Town was named the best place ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
King Edward's School, Birmingham
King Edward's School (KES) is an independent school (UK), independent day school for boys in the British Public school (UK), public school tradition, located in Edgbaston, Birmingham. Founded by Edward VI of England, King Edward VI in 1552, it is part of the Foundation of the Schools of King Edward VI, Foundation of the Schools of King Edward VI in Birmingham. It is a member of the Headmasters' and Headmistresses' Conference. As of 2021, King Edward's School was ranked as one of the top 10 International Baccalaureate schools in the United Kingdom and amongst the top 25 in the world. In 2020, the ''Tatler, Tatler School Guide'' described the school as “academically elite,” going on to note that it is “in the process of upping its already sky-high intellectual ante [...] with top-of-the-range sporting facilities and a raft of extracurricular activities [...] it comes as no surprise that leavers head off to a shining constellation of universities.” It shares its site and i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Kac–Moody Algebra
In mathematics, a generalized Kac–Moody algebra is a Lie algebra that is similar to a Kac–Moody algebra, except that it is allowed to have imaginary simple roots. Generalized Kac–Moody algebras are also sometimes called GKM algebras, Borcherds–Kac–Moody algebras, BKM algebras, or Borcherds algebras. The best known example is the monster Lie algebra. Motivation Finite-dimensional semisimple Lie algebras have the following properties: * They have a nondegenerate symmetric invariant bilinear form (,). * They have a grading such that the degree zero piece (the Cartan subalgebra) is abelian. * They have a (Cartan) involution ''w''. * (''a'', ''w(a)'') is positive if ''a'' is nonzero. For example, for the algebras of ''n'' by ''n'' matrices of trace zero, the bilinear form is (''a'', ''b'') = Trace(''ab''), the Cartan involution is given by minus the transpose, and the grading can be given by "distance from the diagonal" so that the Cartan subalgebra is the diagonal elements ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Curtis T
Curtis or Curtiss is a common English given name and surname of Anglo-Norman origin from the Old French ''curteis'' (Modern French ''courtois'') which derived from the Spanish Cortés (of which Cortez is a variation) and the Portuguese and Galician Cardoso. The name means "polite, courteous, or well-bred". It is a compound of ''curt-'' "court" and ''-eis'' "-ish". The spelling ''u'' to render in Old French was mainly Anglo-Norman and Norman, when the spelling ''o'' was the usual Parisian French one, Modern French ''ou'' ''-eis'' is the Old French suffix for ''-ois'', Western French (including Anglo-Norman) keeps ''-eis'', simplified to ''-is'' in English. The word ''court'' shares the same etymology but retains a Modern French spelling, after the orthography had changed.T. F. Hoad, ''English Etymology'', Oxford University Press paperbook 1993. p. 101a It was brought to England (and subsequently, the rest of the Isles) via the Norman Conquest. In the United Kingdom, the n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Timothy Gowers
Sir William Timothy Gowers, (; born 20 November 1963) is a British mathematician. He is Professeur titulaire of the Combinatorics chair at the Collège de France, and director of research at the University of Cambridge and Fellow of Trinity College, Cambridge. In 1998, he received the Fields Medal for research connecting the fields of functional analysis and combinatorics. Education Gowers attended King's College School, Cambridge, as a choirboy in the King's College choir, and then Eton College as a King's Scholar, where he was taught mathematics by Norman Routledge. In 1981, Gowers won a gold medal at the International Mathematical Olympiad with a perfect score. He completed his PhD, with a dissertation on ''Symmetric Structures in Banach Spaces'' at Trinity College, Cambridge in 1990, supervised by Béla Bollobás. Career and research After his PhD, Gowers was elected to a Junior Research Fellowship at Trinity College. From 1991 until his return to Cambridge in 1995 he wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maxim Kontsevich
Maxim Lvovich Kontsevich (russian: Макси́м Льво́вич Конце́вич, ; born 25 August 1964) is a Russian and French mathematician and mathematical physicist. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014. Academic career and research He was born into the family of Lev Kontsevich, Soviet orientalist and author of the Kontsevich system. After ranking second in the All-Union Mathematics Olympiads, he attended Moscow State University but left without a degree in 1985 to become a researcher at the Institute for Information Transmission Problems in Moscow. While at the institute he published papers that caught the interest of the Max Planck Institute in Bonn and was invited for three ... [...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 Carl Friedrich Gauss Prize, 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 List of International Congresses of Mathematicians Plenary and Invited Speakers, 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of International Congresses Of Mathematicians Plenary And Invited Speakers
This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." The current list of Plenary and Invited Speakers presented here is based on the ICM's post-WW II terminology, in which the one-hour speakers in the morning sessions are called "Plenary Speakers" and the other speakers (in the afternoon sessions) whose talks are included in the ICM published proceedings are called "Invited Speakers". In the pre-WW II congresses the Plenary Speakers were called "Invited Speakers". By congress year 1897, Zürich * Jules Andrade * Léon Autonne *Émile Borel * N. V. Bougaïev *Francesco Brioschi *Hermann Brunn *Cesare Burali-Forti *Charles Jean de la Vallée Poussin *Gustaf Eneström *Federigo Enriques *Gino Fano * Zoel García de Galdeano * Francesco Gerbaldi *Paul Gordan *Jacques Hadamard * Adolf Hurwitz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simon Baron-Cohen
Sir Simon Philip Baron-Cohen (born 15 August 1958) is a British clinical psychologist and professor of developmental psychopathology at the University of Cambridge. He is the director of the university's Autism Research Centre and a Fellow of Trinity College. In 1985, Baron-Cohen formulated the mind-blindness theory of autism, the evidence for which he collated and published in 1995. In 1997, he formulated the foetal sex steroid theory of autism, the key test of which was published in 2015. He has also made major contributions to the fields of typical cognitive sex differences, autism prevalence and screening, autism genetics, autism neuroimaging, autism and technical ability, and synaesthesia. Baron-Cohen was knighted in the 2021 New Year Honours for services to autistic people. Early life and education Baron-Cohen was born into a middle-class Jewish family in London. He has an elder brother Dan Baron Cohen and three younger siblings, brother Ash Baron-Cohen and sisters ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asperger Syndrome
Asperger syndrome (AS), also known as Asperger's, is a former neurodevelopmental disorder characterized by significant difficulties in Interpersonal relationship, social interaction and nonverbal communication, along with restricted and repetitive patterns of behaviour and interests. The syndrome is no longer recognised as a diagnosis in itself, having been merged with other disorders into Autism spectrum, autism spectrum disorder (ASD). It was considered to differ from other diagnoses that were merged into ASD by relatively unimpaired language development, spoken language and cognitive development, intelligence. The syndrome was named after the Austrian Pediatrics, pediatrician Hans Asperger, who, in 1944, described children in his care who struggled to form friendships, did not understand others' Nonverbal communication, gestures or Empathy#Cognitive empathy, feelings, engaged in one-sided conversations about their favourite interests, and were clumsy. In 1994, the diagno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Guardian
''The Guardian'' is a British daily newspaper. It was founded in 1821 as ''The Manchester Guardian'', and changed its name in 1959. Along with its sister papers ''The Observer'' and ''The Guardian Weekly'', ''The Guardian'' is part of the Guardian Media Group, owned by the Scott Trust. The trust was created in 1936 to "secure the financial and editorial independence of ''The Guardian'' in perpetuity and to safeguard the journalistic freedom and liberal values of ''The Guardian'' free from commercial or political interference". The trust was converted into a limited company in 2008, with a constitution written so as to maintain for ''The Guardian'' the same protections as were built into the structure of the Scott Trust by its creators. Profits are reinvested in journalism rather than distributed to owners or shareholders. It is considered a newspaper of record in the UK. The editor-in-chief Katharine Viner succeeded Alan Rusbridger in 2015. Since 2018, the paper's main news ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
