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Martin J. Taylor
Sir Martin John Taylor, FRS (born 18 February 1952) is a British mathematician and academic. He was Professor of Pure Mathematics at the School of Mathematics, University of Manchester and, prior to its formation and merger, UMIST where he was appointed to a chair after moving from Trinity College, Cambridge in 1986. He was elected Warden of Merton College, Oxford on 5 November 2009, took office on 2 October 2010 and retired in September 2018. Early life and education Taylor was born in Leicester in 1952 and educated at Wyggeston Grammar School. He gained a first class degree from Pembroke College, Oxford in 1973, and a Ph.D. from King's College London with a thesis entitled ''Galois module structure of the ring of integers of l-extensions'' in 1976 under the supervision of Albrecht Fröhlich. Research His early research concerned various properties and structures of algebraic numbers. In 1981 he proved the Fröhlich conjecture relating the symmetries of algebraic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leicester
Leicester ( ) is a city status in the United Kingdom, city, Unitary authorities of England, unitary authority and the county town of Leicestershire in the East Midlands of England. It is the largest settlement in the East Midlands. The city lies on the River Soar and close to the eastern end of the National Forest, England, National Forest. It is situated to the north-east of Birmingham and Coventry, south of Nottingham and west of Peterborough. The population size has increased by 38,800 ( 11.8%) from around 329,800 in 2011 to 368,600 in 2021 making it the most populous municipality in the East Midlands region. The associated Urban area#United Kingdom, urban area is also the 11th most populous in England and the List of urban areas in the United Kingdom, 13th most populous in the United Kingdom. Leicester is at the intersection of two railway lines: the Midland Main Line and the Birmingham to London Stansted Airport line. It is also at the confluence of the M1 motorway, M1/M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wyggeston Grammar School For Boys
Wyggeston Grammar School for Boys was a grammar school in Leicester, England, in existence from 1876 to 1976. It was succeeded by the present-day Wyggeston and Queen Elizabeth I College. History After William Wyggeston's death in 1536, his brother Thomas Wyggeston, as a trustee, used part of the money to establish a school for boys known as the Elizabethan Grammar School. This eventually became defunct in the 19th century, but was re-founded on the site of the old Wyggeston Hospital as the Wyggeston Hospital School, which took its first pupils on 30 April 1877. This school passed its name to the later Wyggeston Grammar School for Boys. In 1927, new buildings were built, designed by James Miller. In 1970/1971, the school won the national ''Top of the Form'' radio quiz show, beating Harris Academy, Dundee, in the final on 2 January 1971. A notable alumnus of the school is Dr. Arthur Colborne Lankester who went on to become a doctor and a medical missionary in India who was reve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hillwalking
Walking is one of the most popular outdoor recreational activities in the United Kingdom, and within England and Wales there is a comprehensive network of rights of way that permits access to the countryside. Furthermore, access to much uncultivated and unenclosed land has opened up since the enactment of the Countryside and Rights of Way Act 2000. In Scotland the ancient tradition of universal access to land was formally codified under the Land Reform (Scotland) Act 2003. In Northern Ireland, however, there are few rights of way, or other access to land. Walking is used in the United Kingdom to describe a range of activity, from a walk in the park to trekking in the Alps. The word "hiking" is used in the UK, but less often than walking; the word rambling (akin to ''roam'') is also used, and the main organisation that supports walking is called The Ramblers. Walking in mountainous areas in the UK is called hillwalking, or in Northern England, including the Lake District and York ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fly Fishing
Fly fishing is an angling method that uses a light-weight lure—called an artificial fly—to catch fish. The fly is cast using a fly rod, reel, and specialized weighted line. The light weight requires casting techniques significantly different from other forms of casting. The flies may resemble natural invertebrates, bait-fish, or other food organisms. Fly fishing can be done in fresh or saltwater. North Americans usually distinguish freshwater fishing between cold-water species (trout, salmon) and warm-water species, notably bass. In Britain, where natural water temperatures vary less, the distinction is between game fishing for trout and salmon versus coarse fishing for other species. Techniques for fly fishing differ with habitat (lakes and ponds, small streams, large rivers, bays and estuaries, and open ocean.) Author Izaak Walton called fly fishing "The Contemplative Man's Recreation". Overview In fly fishing, fish are caught by using artificial flies that ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 King Charles II as The Royal Society 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 of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate is . An example with three indeterminates is . Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. Etymology The word ''polynomial'' join ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arithmetic Geometry
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic variety, algebraic varieties. In more abstract terms, arithmetic geometry can be defined as the study of scheme (mathematics), schemes of Finite morphism#Morphisms of finite type, finite type over the spectrum of a ring, spectrum of the ring of integers. Overview The classical objects of interest in arithmetic geometry are rational points: solution set, sets of solutions of a system of polynomial equations over number fields, finite fields, p-adic fields, or Algebraic function field, function fields, i.e. field (mathematics), fields that are not algebraically closed excluding the real numbers. Rational points can be directly characterized by height functions which measure their arithmetic complexity. The structure of algebraic varieties defined over ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
L-function
In mathematics, an ''L''-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An ''L''-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an ''L''-function via analytic continuation. The Riemann zeta function is an example of an ''L''-function, and one important conjecture involving ''L''-functions is the Riemann hypothesis and its generalization. The theory of ''L''-functions has become a very substantial, and still largely conjectural, part of contemporary analytic number theory. In it, broad generalisations of the Riemann zeta function and the ''L''-series for a Dirichlet character are constructed, and their general properties, in most cases still out of reach of proof, are set out in a systematic way. Because of the Euler product formula there is a deep connection between ''L''-functions and the theory of prime numbers. The mathematical field that studies L-func ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emil Artin
Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields. Along with Emmy Noether, he is considered the founder of modern abstract algebra. Early life and education Parents Emil Artin was born in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of mixed Austrian and Armenian descent. His Armenian last name was Artinian which was shortened to Artin. Several documents, including Emil's birth certificate, list the father's occupation as “opera singer” though others list it as “art dealer.” It seems at least plausible that he and Emma had ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Function
In mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions. Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not generally hold for real analytic functions. A function is analytic if and only if its Taylor series about ''x''0 converges to the function in some neighborhood for every ''x''0 in its domain. Definitions Formally, a function f is ''real analytic'' on an open set D in the real line if for any x_0\in D one can write : f(x) = \sum_^\infty a_ \left( x-x_0 \right)^ = a_0 + a_1 (x-x_0) + a_2 (x-x_0)^2 + a_3 (x-x_0)^3 + \cdots in which the coefficients a_0, a_1, \dots are real numbers and the series is convergent to f(x) for x in a neighborhood of x_0. Alternatively, a real analytic function is an infinitely differentiable function such that the Taylor series at any point x_0 in its domain ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Integer
In algebraic number theory, an algebraic integer is a complex number which is integral over the integers. That is, an algebraic integer is a complex root of some monic polynomial (a polynomial whose leading coefficient is 1) whose coefficients are integers. The set of all algebraic integers is closed under addition, subtraction and multiplication and therefore is a commutative subring of the complex numbers. The ring of integers of a number field , denoted by , is the intersection of and : it can also be characterised as the maximal order of the field . Each algebraic integer belongs to the ring of integers of some number field. A number is an algebraic integer if and only if the ring \mathbbalpha/math> is finitely generated as an abelian group, which is to say, as a \mathbb-module. Definitions The following are equivalent definitions of an algebraic integer. Let be a number field (i.e., a finite extension of \mathbb, the field of rational numbers), in other words, K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
