Peter Cameron (mathematician)
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Peter Cameron (mathematician)
Peter Jephson Cameron FRSE (born 23 January 1947) is an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently half-time Professor of Mathematics at the University of St Andrews, and Emeritus Professor at Queen Mary University of London. Cameron received a B.Sc. from the University of Queensland and a D.Phil. in 1971 from the University of Oxford as a Rhodes Scholar, with Peter M. Neumann as his supervisor. Subsequently, he was a Junior Research Fellow and later a Tutorial Fellow at Merton College, Oxford, and also lecturer at Bedford College, London. Work Cameron specialises in algebra and combinatorics; he has written books about combinatorics, algebra, permutation groups In mathematics, a permutation group is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which are thought of as bijective functions from the set ''M'' t ...
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Toowoomba, Queensland
Toowoomba ( , nicknamed 'The Garden City' and 'T-Bar') is a city in the Toowoomba Region of the Darling Downs, Queensland, Australia. It is west of Queensland's capital city Brisbane by road. The urban population of Toowoomba as of the 2021 Census was 142,163, having grown at an average annual rate of 1.45% over the previous two decades. Toowoomba is the second-most-populous inland city in the country after the national capital of Canberra and hence the largest city on the Darling Downs, and it is among the largest regional centres in Queensland. It is also referred to as the capital of the Darling Downs. The Toowoomba region is the home of two main Aboriginal language groups, the Giabal whose lands extend south of the city and Jarowair whose lands extend north of the city. The Jarowair lands include the site of one of Australia's most important sacred Bora ceremonial ground, the ‘Gummingurru stone arrangement’ dated to c.4000 BC. The site marked one of the major routes ...
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Euler Medal
The Institute of Combinatorics and its Applications (ICA) is an international scientific organization formed in 1990 to increase the visibility and influence of the combinatorial community. In pursuit of this goal, the ICA sponsors conferences, publishes a bulletin and awards a number of medals, including the Euler, Hall, Kirkman, and Stanton Medals. It is based in Duluth, Minnesota and its operation office is housed at University of Minnesota Duluth. The institute was minimally active between 2010 and 2016 and resumed its full activities in March 2016. Membership The ICA has over 800 members in over forty countries. Membership is at three levels. ''Members'' are those who have not yet completed a Ph.D. ''Associate Fellows'' are younger members who have received the Ph.D. or have published extensively; normally an Associate Fellow should hold the rank of Assistant Professor. ''Fellows'' are expected to be established scholars and typically have the rank of Associate Professor or ...
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New Zealand Mathematical Society
The New Zealand Mathematical Society is a New Zealand based learned society of mathematicians. It is listed by the Royal Society of New Zealand as the affiliate organisation responsible for mathematics research, and by the International Mathematical Union as the national mathematical society of its country. The total membership in the society has varied from approximately 100 soon after its 1974 foundation to between 200 and 300 at its 25th anniversary in 1999. The NZMS has its origins in the annual New Zealand Mathematics Colloquium, held beginning in 1966,. and in a 1967 visit to New Zealand by Bernhard Neumann during which he promoted connections between the New Zealand and Australian mathematics communities.. A drafting committee for the new society was formed at the 1973 colloquium, despite some opposition from the RSNZ's National Committee for Mathematics, and the society was founded in 1974 with David Vere-Jones as founding president. The society publishes the ''Newsletter of ...
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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 ...
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Paul Erdős
Paul Erdős ( hu, Erdős Pál ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics. Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. He firmly believed mathematics to be a social activity, living an itinerant lifestyle with the sole purpose of writing mathematical papers with other mathem ...
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Cameron–Erdős Conjecture
In combinatorics, the Cameron–Erdős conjecture (now a theorem) is the statement that the number of sum-free sets contained in = \ is O\big(\big). The sum of two odd numbers is even, so a set of odd numbers is always sum-free. There are \lceil N/2\rceil odd numbers in 'N''  and so 2^ subsets of odd numbers in 'N''  The Cameron–Erdős conjecture says that this counts a constant proportion of the sum-free sets. The conjecture was stated by Peter Cameron and Paul Erdős in 1988. It was proved by Ben Green and independently by Alexander Sapozhenko. in 2003. See also * Erdős conjecture Erdős, Erdos, or Erdoes is a Hungarian surname. People with the surname include: * Ágnes Erdős (born 1950), Hungarian politician * Brad Erdos (born 1990), Canadian football player * Éva Erdős (born 1964), Hungarian handball player * Józ ... Notes Additive number theory Combinatorics Theorems in discrete mathematics Paul Erdős Conjectures that have been ...
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Permutation Groups
In mathematics, a permutation group is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which are thought of as bijective functions from the set ''M'' to itself). The group of ''all'' permutations of a set ''M'' is the symmetric group of ''M'', often written as Sym(''M''). The term ''permutation group'' thus means a subgroup of the symmetric group. If then Sym(''M'') is usually denoted by S''n'', and may be called the ''symmetric group on n letters''. By Cayley's theorem, every group is isomorphic to some permutation group. The way in which the elements of a permutation group permute the elements of the set is called its group action. Group actions have applications in the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry. Basic properties and terminology Being a subgroup of a symmetric group, all that is necessary for a set of permu ...
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Merton College
Merton College (in full: The House or College of Scholars of Merton in the University of Oxford) is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to support it. An important feature of de Merton's foundation was that this "college" was to be self-governing and the endowments were directly vested in the Warden and Fellows. By 1274, when Walter retired from royal service and made his final revisions to the college statutes, the community was consolidated at its present site in the south east corner of the city of Oxford, and a rapid programme of building commenced. The hall and the chapel and the rest of the front quad were complete before the end of the 13th century. Mob Quad, one of Merton's quadrangles, was constructed between 1288 and 1378, and is ...
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Mathematics Genealogy Project
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title (in its Mathematics Subject Classification), '' alma mater'', doctoral advisor, and doctoral students.. Origin of the database The project grew out of founder Harry Coonce's desire to know the name of his advisor's advisor.. Coonce was Professor of Mathematics at Minnesota State University, Mankato, at the time of the project's founding, and the project went online there in fall 1997.Mulcahy, Colm;The Mathematics Genealogy Project Comes of Age at Twenty-one(PDF) AMS Notices (May 2017) Coonce retired from Mankato in 1999, and in fall 2002 the university decided that it would no longer support the project. The project relocated at that time to North Dakota State U ...
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Rhodes Trust
Rhodes House is a building part of the University of Oxford in England. It is located on South Parks Road in central Oxford, and was built in memory of Cecil Rhodes, an alumnus of the university and a major benefactor. It is listed Grade II* on the National Heritage List for England. History The will of Cecil Rhodes (1853–1902) created scholarships that became known as Rhodes Scholarships, administered by the Rhodes Trust. Construction of Rhodes House began in 1926 after the Rhodes Trust purchased the two-acre plot from Wadham College the previous year. The mansion was designed by architect Sir Herbert Baker and modelled on the Cape Dutch farmhouse design and traditional English Country mansions. This is reflected in the large beams, trans-domed windows and its Tetra-style portico. The square rubble walls were designed to be consistent with the Western European 17th century architecture of the Oxford University campus. Other features include the open-well staircase construc ...
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Rhodes Scholarship
The Rhodes Scholarship is an international postgraduate award for students to study at the University of Oxford, in the United Kingdom. Established in 1902, it is the oldest graduate scholarship in the world. It is considered among the world's most prestigious international scholarship programs. Its founder, Cecil John Rhodes, wanted to promote unity among English-speaking nations and instill a sense of civic-minded leadership and moral fortitude in future leaders, irrespective of their chosen career paths. Initially restricted to male applicants from countries that are today within the Commonwealth, Germany and the United States, the scholarship is now open to applicants from all backgrounds and genders around the world. Since its creation, controversy has surrounded its initial exclusion of women, its historical failure to select black Africans, and Cecil Rhodes's own standing as a British imperialist. Rhodes Scholars have achieved distinction as politicians, academics, s ...
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Queen Mary University Of London
, mottoeng = With united powers , established = 1785 – The London Hospital Medical College1843 – St Bartholomew's Hospital Medical College1882 – Westfield College1887 – East London College/Queen Mary College , type = Public research university , endowment = £41.3 million (2021) , budget = £512.5 million (2020-21) , chancellor = The Princess Royal(as Chancellor of the University of London) , principal = Colin Bailey , students = () , undergrad = () , postgrad = () , city = , administrative_staff = 4,620 , faculty = , affiliations = Alan Turing Institute ACU EUA IPEM LIDCRussell Group SEPnet SESUCLPartnersUniversities UKUniversity of London Institute in Paris , location = London, England, United Kingdom , campus = Urban , colours = , website = , logo = File:Queen Mary University of London logo.svg Queen Mary University of London (QMUL, or informally QM, and previously Queen Mary and Westfield College) is a public research university i ...
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