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 lattices, group theory, and infinite-dimensional algebras,James Lepowsky"The Work of Richard Borcherds" ''Notices of the American Mathematical Society'', Volume 46, Number 1 (January 1999). for which he was awarded the Fields Medal in 1998. He is well known for his proof of monstrous moonshine using ideas from string theory. Early life and education Borcherds was born in Cape Town, South Africa, but the family moved to Birmingham in the United Kingdom when he was six months old. Borcherds was educated at King Edward's School, Birmingham. As a student, Borcherds won a gold medal, silver medal, and special prize in the International Mathematical Olympiad. He attended university at Trinity College, Cambridge, where he studied under John Horton Conway. Career After receiving his doctorate in 1985, Borcherds has held various alternati ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Cape Town
Cape Town is the legislature, legislative capital city, capital of South Africa. It is the country's oldest city and the seat of the Parliament of South Africa. Cape Town is the country's List of municipalities in South Africa, second-largest city by population, after Johannesburg, and the largest city in the Western Cape. The city is part of the City of Cape Town metropolitan municipality (South Africa), metropolitan municipality. The city is known for Port of Cape Town, its harbour, its natural setting in the Cape Floristic Region, and for landmarks such as Table Mountain and Cape Point. In 2014, Cape Town was named the best place in the world to visit by ''The New York Times'', and was similarly ranked number one by ''The Daily Telegraph'' in both 2016 and 2023. Located on the shore of Table Bay, the City Bowl area of Cape Town, which contains its Cape Town CBD, central business district (CBD), is History of Cape Town, the oldest urban area in the Western Cape, with a signi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Algebra Over A Field
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear map, bilinear product (mathematics), product. Thus, an algebra is an algebraic structure consisting of a set (mathematics), set together with operations of multiplication and addition and scalar multiplication by elements of a field (mathematics), field and satisfying the axioms implied by "vector space" and "bilinear". The multiplication operation in an algebra may or may not be associative, leading to the notions of associative algebras where associativity of multiplication is assumed, and non-associative algebras, where associativity is not assumed (but not excluded, either). Given an integer ''n'', the ring (mathematics), ring of real matrix, real square matrix, square matrices of order ''n'' is an example of an associative algebra over the field of real numbers under matrix addition and matrix multiplication since matrix multiplication is associative. Three-dime ... [...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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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 mindblindness theory of autism, the evidence for which he collated and published in 1995. In 1997, he formulated the prenatal sex steroid theory of autism, the key test of which was published in 2015. In 2003, he formulated the empathising-systemising (E-S) theory of autism and typical sex differences, the key test of which was published in 2018. He has also made major contributions to research on autism prevalence and screening, autism genetics, autism neuroimaging, autism and vulnerability, autism intervention and synaesthesia. Baron-Cohen was knighted in the 2021 New Year Honours for services to people with autism. In 2023, he was awarded the Medical Research Council (MRC) Mille ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Asperger Syndrome
Asperger syndrome (AS), also known as Asperger's syndrome or Asperger's, is a diagnostic label that has historically been used to describe a neurodevelopmental disorder characterized by significant difficulties in social interaction and nonverbal communication, along with restricted, repetitive patterns of behavior and interests. Asperger syndrome has been merged with other conditions into autism spectrum disorder (ASD) and is no longer a diagnosis in the WHO's ICD-11 or the APA's DSM-5-TR. It was considered milder than other diagnoses which were merged into ASD due to relatively unimpaired spoken language and intelligence. The syndrome was named in 1976 by English psychiatrist Lorna Wing after the Austrian pediatrician Hans Asperger, who, in 1944, described children in his care who struggled to form friendships, did not understand others' gestures or feelings, engaged in one-sided conversations about their favorite interests, and were clumsy. In 1990 (coming into e ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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The Guardian
''The Guardian'' is a British daily newspaper. It was founded in Manchester in 1821 as ''The Manchester Guardian'' and changed its name in 1959, followed by a move to London. Along with its sister paper, ''The Guardian Weekly'', ''The Guardian'' is part of the Guardian Media Group, owned by the Scott Trust Limited. 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 its 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. S ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Simon Singh
Simon Lehna Singh, (born 19 September 1964) is a British popular science author and theoretical and particle physicist. His written works include ''Fermat's Last Theorem'' (in the United States titled ''Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem''), '' The Code Book'' (about cryptography and its history), ''Big Bang'' (about the Big Bang theory and the origins of the universe), '' Trick or Treatment? Alternative Medicine on Trial'' (about complementary and alternative medicine, co-written by Edzard Ernst) and '' The Simpsons and Their Mathematical Secrets'' (about mathematical ideas and theorems hidden in episodes of ''The Simpsons'' and ''Futurama''). In 2012 Singh founded the Good Thinking Society, through which he created the website "Parallel" to help students learn mathematics. Singh has also produced documentaries and works for television to accompany his books, is a trustee of the National Museum of Science and Industry, a patro ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Vertex Algebra
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory. In addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence. The related notion of vertex algebra was introduced by Richard Borcherds in 1986, motivated by a construction of an infinite-dimensional Lie algebra due to Igor Frenkel. In the course of this construction, one employs a Fock space that admits an action of vertex operators attached to elements of a lattice. Borcherds formulated the notion of vertex algebra by axiomatizing the relations between the lattice vertex operators, producing an algebraic structure that allows one to construct new Lie algebras by following Frenkel's method. The notion of vertex operator algebra was introduced as a modification of the notion of vertex algeb ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by Charles II of England, King Charles II and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the society's president, according to a set of statutes and standing orders. The members of Council and the president are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Royal Society University Research Fellow
__NOTOC__ The Royal Society University Research Fellowship (URF) is a research fellowship awarded to outstanding early career scientists in the United Kingdom who are judged by the Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ... to have the potential to become leaders in their field."University Research Fellowship" Royal Society The research fellowship funds all areas of research in natural science including life sciences, physical sciences and engineering, but excluding medicine, clinical medicine. The URF scheme provides the opportunity for fellows to build an ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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International Mathematical Olympiad
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. It is widely regarded as the most prestigious mathematical competition in the world. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980. More than 100 countries participate. Each country sends a team of up to six students, plus one team leader, one deputy leader, and observers. Awards are given to approximately the top-scoring 50% of the individual contestants. Teams are not officially recognized—all scores are given only to individual contestants, but team scoring is unofficially compared more than individual scores. Question type The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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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. It is a member of the Headmasters' and Headmistresses' Conference. It shares its site and is twinned with King Edward VI High School for Girls (KEHS). While the two schools run separately, dramatic arts, societies, music and other events are often shared; the schools also share a couple of hockey pitches and several clubs. The shared area is called Winterbourne after the nearby Winterbourne Botanic Garden. Since September 2024, the two schools have shared a joint head teacher, styled Chief Master & Principal. Alumni of the school include two Nobel Prize, Nobel laureates, a Fields Medal, Fields medallist, as well as J. R. R. Tolkien (author of ''The Lord of the Rings''), and Fiel ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |