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James Alexander Green
James Alexander "Sandy" Green FRS (26 February 1926 – 7 April 2014) was a mathematician and Professor at the Mathematics Institute at the University of Warwick, who worked in the field of representation theory. Early life Sandy Green was born in February 1926 in Rochester, New York, but moved to Toronto with his emigrant Scottish parents later that year. The family returned to Britain in May 1935 when his father, Frederick C. Green, took up the Drapers Professorship of French at the University of Cambridge. Education Green was educated at the Perse School, Cambridge. He won a scholarship to the University of St Andrews and matriculated aged 16 in 1942. He took an ordinary BSc in 1944, and then, after scientific service in the war, was awarded a BSc Honours in 1947. He gained his PhD at St John's College, Cambridge in 1951, under the supervision of Philip Hall and David Rees. Career World War II In the summer of 1944, he was conscripted for national scientific service at t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rochester, New York
Rochester () is a City (New York), city in the U.S. state of New York (state), New York, the county seat, seat of Monroe County, New York, Monroe County, and the fourth-most populous in the state after New York City, Buffalo, New York, Buffalo, and Yonkers, New York, Yonkers, with a population of 211,328 at the 2020 United States census. Located in Western New York, the city of Rochester forms the core of a larger Rochester metropolitan area, New York, metropolitan area with a population of 1 million people, across six counties. The city was one of the United States' first boomtowns, initially due to the fertile Genesee River Valley, which gave rise to numerous flour mills, and then as a manufacturing center, which spurred further rapid population growth. Rochester rose to prominence as the birthplace and home of some of America's most iconic companies, in particular Eastman Kodak, Xerox, and Bausch & Lomb (along with Wegmans, Gannett, Paychex, Western Union, French's, Cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Representation Theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations (for example, matrix addition, matrix multiplication). The theory of matrices and linear operators is well-understood, so representations of more abstract objects in terms of familiar linear algebra objects helps glean properties and sometimes simplify calculations on more abstract theories. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Character Theory
In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character. The situation with representations over a field of positive characteristic, so-called "modular representations", is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups use characters of modular representations. Applications Characters of irreducible representations encode many important propert ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Institute, University Of Oxford
The Mathematical Institute is the mathematics department at the University of Oxford in England. It is one of the nine departments of the university's Mathematical, Physical and Life Sciences Division. The institute includes both pure and applied mathematics (Statistics is a separate department) and is one of the largest mathematics departments in the United Kingdom with about 200 academic staff. It was ranked (in a joint submission with Statistics) as the top mathematics department in the UK in the 2021 Research Excellence Framework. Research at the Mathematical Institute covers all branches of mathematical sciences ranging from, for example, algebra, number theory, and geometry to the application of mathematics to a wide range of fields including industry, finance, networks, and the brain. It has more than 850 undergraduates and 550 doctoral or masters students. The institute inhabits a purpose-built building between Somerville College and Green Templeton College on Woodstoc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Princeton, New Jersey
Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of which are now defunct. Centrally located within the Raritan Valley region, Princeton is a regional commercial hub for the Central New Jersey region and a commuter town in the New York metropolitan area.New York-Newark, NY-NJ-CT-PA Combined Statistical Area . Accessed December 5, 2020. As of the |
Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warwick University
, mottoeng = Mind moves matter , established = , type = Public research university , endowment = £7.0 million (2021) , budget = £698.2 million (2020–21) , chancellor = Baroness Ashton of Upholland , vice_chancellor = Stuart Croft , students = 27,278 , undergrad = 15,998 , postgrad = 9,799 , city = Coventry , country = England, UK , coor = , campus = Semi-Urban (West Midlands/Warwickshire), The Shard ( WBS), London , colours = Blue, white, purple , free_label = Newspapers and magazines , free = '' The Boar'', ''Perspectives'' , website warwick.ac.uk , logo_size = 180px , administrative_staff = 4,033 , academic_staff = 2,610 , academic_affiliati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victoria University Of Manchester
The Victoria University of Manchester, usually referred to as simply the University of Manchester, was a university in Manchester, England. It was founded in 1851 as Owens College. In 1880, the college joined the federal Victoria University. After the demerger of the Victoria University, it gained an independent university charter in 1904 as the Victoria University of Manchester. On 1 October 2004, the Victoria University of Manchester merged with the University of Manchester Institute of Science and Technology (UMIST) to form a new, larger entity named the University of Manchester. History 1851–1951 Owens College was founded in 1851, named after John Owens, a textile merchant, who left a bequest of £96,942 for the purpose. Its first accommodation was at Cobden House on Quay Street, Manchester, in a house which had been the residence of Richard Cobden. In 1859, Owens College was approved as a provincial examination centre for matriculation candidates of the University of L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Newman
Maxwell Herman Alexander Newman, FRS, (7 February 1897 – 22 February 1984), generally known as Max Newman, was a British mathematician and codebreaker. His work in World War II led to the construction of Colossus, the world's first operational, programmable electronic computer, and he established the Royal Society Computing Machine Laboratory at the University of Manchester, which produced the world's first working, stored-program electronic computer in 1948, the Manchester Baby. Education and early life Newman was born Maxwell Herman Alexander Neumann in Chelsea, London, England, to a Jewish family, on 7 February 1897. His father was Herman Alexander Neumann, originally from the German city of Bromberg (now in Poland), who had emigrated with his family to London at the age of 15.William Newman, "Max Newman – Mathematician, Codebreaker and Computer Pioneer", pp. 176–188 in Herman worked as a secretary in a company, and married Sarah Ann Pike, an Irish schoolteacher, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Bulletin Of The 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] |
The Perse School
(He who does things for others does them for himself) , established = , closed = , type = Public schoolIndependent day school , religion = Nondenominational Christian , president = , head_label = Head , head = Edward Elliott , r_head_label = , r_head = , chair_label = Chairman of the Governing Body , chair = Jonathan W Scott , founder = Stephen Perse , medium = , address = Hills Road , location = , city = Cambridge , district = , postcode = CB2 8QF , county = Cambridgeshire , country = England , coordinates = , local_authority = , dfeno = 873/6010 , urn = 110923 , ofsted = , staff = 138 teaching, 117 support staff, 26 peripatetics , capacity = , enrolment = 1,564 (2016) , gender = Co-educational , lower_age = 11 , upper_age = 18 , houses = 8 , colours = Pur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Cambridge
, mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Scholars of the University of Cambridge , type = Public research university , endowment = £7.121 billion (including colleges) , budget = £2.308 billion (excluding colleges) , chancellor = The Lord Sainsbury of Turville , vice_chancellor = Anthony Freeling , students = 24,450 (2020) , undergrad = 12,850 (2020) , postgrad = 11,600 (2020) , city = Cambridge , country = England , campus_type = , sporting_affiliations = The Sporting Blue , colours = Cambridge Blue , website = , logo = University of Cambridge logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
