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Vaughan Jones
Sir Vaughan Frederick Randal Jones (31 December 19526 September 2020) was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990. Early life Jones was born in Gisborne, New Zealand, on 31 December 1952. He was brought up in Cambridge, New Zealand, where he attended St Peter's School. He subsequently transferred to Auckland Grammar School after winning the Gillies Scholarship, and graduated in 1969 from Auckland Grammar. He went on to complete his undergraduate studies at the University of Auckland, obtaining a BSc in 1972 and an MSc in 1973. For his graduate studies, he went to Switzerland, where he completed his PhD at the University of Geneva in 1979. His thesis, titled ''Actions of finite groups on the hyperfinite II1 factor'', was written under the supervision of André Haefliger, and won him the Vacheron Constantin Prize. Career Jones moved to the United States in 1980. There, he taught ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gisborne, New Zealand
Gisborne ( mi, Tūranga-nui-a-Kiwa "Great standing place of Kiwa") is a city in northeastern New Zealand and the largest settlement in the Gisborne District (or Gisborne Region). It has a population of The district council has its headquarters in Whataupoko, in the central city. The settlement was originally known as Turanga and renamed Gisborne in 1870 in honour of New Zealand Colonial Secretary William Gisborne. Early history First arrivals The Gisborne region has been settled for over 700 years. For centuries the region has been inhabited by the tribes of Te Whanau-a-Kai, Ngaariki Kaiputahi, Te Aitanga-a-Mahaki Rongowhakaata, Ngāi Tāmanuhiri and Te Aitanga-a-Hauiti. Their people descend from the voyagers of the Te Ikaroa-a-Rauru, Horouta and Tākitimu waka. East Coast oral traditions offer differing versions of Gisborne's establishment by Māori. One legend recounts that in the 1300s, the great navigator Kiwa landed at the Turanganui River first on the waka Tā ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
St Peter's School, Cambridge
St Peter's School is a private, co-educational, Anglican secondary school for Years 7–13 in Cambridge, New Zealand. The school is located on of ground, surround by school-owned farmland alongside the Waikato River. The schools motto, 'Structa Saxo', is Latin and translates to "Built on a Rock". The school has facilities for boarding- and day-students, as well as on-campus accommodation for teachers, tutors and workers. History The school's was founded in 1936 by Arthur Broadhurst (1890–1986) and James Morris Beaufort (1896–1952). It was designed by American architect Roy Alston Lippincott, who designed the main building to resemble a large English country home. St Peter's became a co-educational school in 1987. The Robb Sports Centre was constructed in 2005. The building includes two indoor basketball or badminton courts, netball courts, tiered seating for up to 200 people, a weights room, an aerobics studio, two squash courts and an artificial climbing wall. In 2009 co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ear Infection
Otitis is a general term for inflammation or infection, inner ear infection, middle ear infection of the ear, in both humans and other animals. When infection is present, it may be viral or bacterial. When inflammation is present due to fluid build up in the middle ear and infection is not present it is considereOtitis media with effusion It is subdivided into the following: * ''Otitis externa'', external otitis, or "swimmer's ear", involves the outer ear and ear canal. In external otitis, we see tenderness in the pinna—i.e., the outer ear hurts when touched or pulled. * ''Otitis media'', or middle ear infection, involves the middle ear. In otitis media, the ear is infected or clogged with fluid behind the ear drum, in the normally air-filled middle-ear space. This is the most common infection and very common in babies below 6 months. This condition sometimes requires a surgical procedure called ''myringotomy'' and tube insertion. * ''Otitis interna'', or labyrinthitis, involv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fulbright Program
The Fulbright Program, including the Fulbright–Hays Program, is one of several United States Cultural Exchange Programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the people of the United States and other countries, through the exchange of persons, knowledge, and skills. Via the program, competitively-selected American citizens including students, scholars, teachers, professionals, scientists, and artists may receive scholarships or grants to study, conduct research, teach, or exercise their talents abroad; and citizens of other countries may qualify to do the same in the United States. The program was founded by United States Senator J. William Fulbright in 1946 and is considered to be one of the most widely recognized and prestigious scholarships in the world. The program provides approximately 8,000 grants annually – roughly 1,600 to U.S. students, 1,200 to U.S. scholars, 4,000 to foreign students, 900 to f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Te Apārangi
The Royal Society Te Apārangi (in full, Royal Society of New Zealand Te Apārangi) is an independent, statutory not-for-profit body in New Zealand providing funding and policy advice in the fields of sciences and the humanities. History The Royal Society was founded in 1867 as the New Zealand Institute, a successor to the New Zealand Society, which had been founded by Sir George Grey in 1851. The Institute, established by the New Zealand Institute Act 1867, was an apex organisation in science, with the Auckland Institute, the Wellington Philosophical Society, the Philosophical Institute of Canterbury, and the Westland Naturalists' and Acclimatization Society as constituents. It later included the Otago Institute and other similar organisations. The Colonial Museum (later to become the Dominion Museum and then the Museum of New Zealand Te Papa Tongarewa), which had been established two years earlier, in 1865, was granted to the New Zealand Institute. Publishing transactions an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Guild Of Knot Tyers
The International Guild of Knot Tyers (or IGKT) is a worldwide association for people with an interest in knots and knot tying. Formation and beginning Officially established in 1982, the founding members were initially drawn together by the 1978 publication in ''The Times'' of an allegedly new knot, the Hunter's bend. The idea for a knotting association of some kind grew from the contact between two people. Des Pawson was a retail manager for a large stationery firm based in Ipswich and a knot craftsman. Geoffrey Budworth was a Metropolitan Police Inspector and knotting consultant. Des first wrote to Geoff on 8 October 1978. They met before the month was over, and if it was not mentioned then the idea of contacting other knotting enthusiasts was raised by Des in a letter dated July, 1980, when he pressed for a suitable venue and suggested The Maritime Trust. Even then, 1981 went by without further development; and this is a source of regret to them both as it was the centena ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Topology
Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology. Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of one space within another such as knots and links in three-dimensional space. This bra–ket notation of kets and bras can be generalised, becoming maps of vector spaces associated with topological spaces that allow tensor products. Topological entanglement involving linking and braiding can be intuitively related to quantum entanglement. See also * Topological quantum field theory * Reshetikhin–Turaev invariant In the mathematical field of quantum topology, the Reshetikhin–Turaev invariants (RT-invariants) are a family of quantum invariants of framed links. Such invariants of framed links also give rise to invariants of 3-manifolds via the Dehn surgery ... References E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Low-dimensional Topology
In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot theory, and braid groups. This can be regarded as a part of geometric topology. It may also be used to refer to the study of topological spaces of dimension 1, though this is more typically considered part of continuum theory. History A number of advances starting in the 1960s had the effect of emphasising low dimensions in topology. The solution by Stephen Smale, in 1961, of the Poincaré conjecture in five or more dimensions made dimensions three and four seem the hardest; and indeed they required new methods, while the freedom of higher dimensions meant that questions could be reduced to computational methods available in surgery theory. Thurston's geometrization conjecture, formulated in the late 1970s, offered a framework that sugge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Knot Theory
In the mathematical field of topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, Unknot, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, \mathbb^3 (in topology, a circle is not bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of \mathbb^3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing through itself. Knots can be described in various ways. Using different description methods, there may be more than one description of the same knot. For example, a common method of descr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alain Connes
Alain Connes (; born 1 April 1947) is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the , , Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982. Career Source: Academic career timeline: (1966–1970) – Bachelor's degree from the École Normale Supérieure (now part of Paris Sciences et Lettres University). (1973) – doctorate from Pierre and Marie Curie University, Paris, France (1970–1974) – appointment at the French National Centre for Scientific Research, Paris (1975) – Queen's University at Kingston, Ontario, Canada (1976–1980) – the University of Paris VI (1979 – present) – the Institute of Advanced Scientific Studies, Bures-sur-Yvette, France (1981–1984) – the French National Centre for Scientific Research, Paris (1984–2017) – the , Paris (2003–2011) – Vanderbilt University, Na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Algebras
In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. His double commutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. Two basic examples of von Neumann algebras are as follows: *The ring L^\infty(\mathbb R) of essentially bounded measurable functions on the real line is a commutative von Neumann algebra, whose elements act as multiplication operators by pointwise multiplication on the Hilbert space L^2(\mathbb R) of square-integrable functions. *The algebra \mathcal B(\mathcal H) of all bounded operators on a Hilbert space \mathcal H is a von Neumann alge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
