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John H. Coates
John Henry Coates (26 January 1945 – 9 May 2022) was an Australian mathematician who was the Sadleirian Professor of Pure Mathematics at the University of Cambridge in the United Kingdom from 1986 to 2012. Early life and education Coates was born the son of J. H. Coates and B. L. Lee on 26 January 1945 and grew up in Possum Brush (near Taree) in New South Wales, Australia. Coates Road in Possum Brush is named after the family farm on which he grew up. Before university he spent a summer working for BHP in Newcastle, New South Wales, though he was not successful in gaining a university scholarship with the company. Coates attended Australian National University on scholarship as one of the first undergraduates, from which he gained a BSc degree. He then moved to France, doing further study at the École Normale Supérieure in Paris, before moving again, this time to England. Career In England he did postgraduate research at the University of Cambridge, his doctoral disserta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New South Wales
) , nickname = , image_map = New South Wales in Australia.svg , map_caption = Location of New South Wales in AustraliaCoordinates: , subdivision_type = Country , subdivision_name = Australia , established_title = Before federation , established_date = Colony of New South Wales , established_title2 = Establishment , established_date2 = 26 January 1788 , established_title3 = Responsible government , established_date3 = 6 June 1856 , established_title4 = Federation , established_date4 = 1 January 1901 , named_for = Wales , demonym = , capital = Sydney , largest_city = capital , coordinates = , admin_center = 128 local government areas , admin_center_type = Administration , leader_title1 = Monarch , leader_name1 = Charles III , leader_title2 = Governor , leader_name2 = Margaret Beazley , leader_title3 = Premier , leader_name3 = Dominic Perrottet (Liberal) , national_representation = Parliament of Australia , national_representation_type1 = Senat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Susan Howson (mathematician)
Susan Howson (born 1973) is a British mathematician whose research is in the fields of algebraic number theory and arithmetic geometry. Education and career Howson received her PhD in mathematics from the University of Cambridge in 1998 with thesis title ''Iwasawa Theory of Elliptic Curves for ρ-Adic Lie Extensions'' under the supervision of John H. Coates. Howson has taught at MIT, University of Cambridge, University of Oxford, and University of Nottingham. She then left academia and studied medicine in Southampton. After graduating she became a consultant in Child and Adolescent mental health, working in the NHS in Devon. Recognition In 2002, Howson won the Adams Prize for her work on number theory and elliptic curves. She was the first woman to win the prize in its 120-year history. In an interview, she indicated that the competitive and single-minded nature of higher mathematics is possibly part of what discourages women from pursuing it. She also held a Royal Society ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
P-adic Number
In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems. The extension is achieved by an alternative interpretation of the concept of "closeness" or absolute value. In particular, two -adic numbers are considered to be close when their difference is divisible by a high power of : the higher the power, the closer they are. This property enables -adic numbers to encode congruence information in a way that turns out to have powerful applications in number theory – including, for example, in the famous proof of Fermat's Last Theorem by Andrew Wiles. These numbers were first described by Kurt Hensel in 1897, though, with hindsight, some of Ernst Kummer's earlier work can be interpreted as implicitly using -adic numbers.Translator's introductionpage 35 "Indeed, with hindsight it becomes apparent that a d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Newcastle, New South Wales
Newcastle ( ; Awabakal: ) is a metropolitan area and the second most populated city in the state of New South Wales, Australia. It includes the Newcastle and Lake Macquarie local government areas, and is the hub of the Greater Newcastle area, which includes most parts of the local government areas of City of Newcastle, City of Lake Macquarie, City of Cessnock, City of Maitland and Port Stephens Council. Located at the mouth of the Hunter River, it is the predominant city within the Hunter Region. Famous for its coal, Newcastle is the largest coal exporting harbour in the world, exporting 159.9 million tonnes of coal in 2017. Beyond the city, the Hunter Region possesses large coal deposits. Geologically, the area is located in the central-eastern part of the Sydney Basin. History Aboriginal history Newcastle and the lower Hunter Region were traditionally occupied by the Awabakal and Worimi Aboriginal people, who called the area Malubimba. Based on Aboriginal language refere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taree
Taree is a town on the Mid North Coast, New South Wales, Australia. Taree and nearby Cundletown were settled in 1831 by William Wynter. Since then Taree has grown to a population of 26,381, and is the centre of a significant agricultural district. It is 16 km from the Tasman Sea coast, and 317 km north of Sydney. Taree can be reached by train via the North Coast Railway, and by the Pacific Highway. Taree railway station is on the North Coast line of the NSW TrainLink network. It is serviced by six NSW TrainLink trains daily: three heading to Sydney, another three heading North to Grafton, Casino or Brisbane. Taree is within the local government area of Mid-Coast Council, the state electorate of Myall Lakes and the Federal electorate of Lyne. Name The name Taree is derived from "tareebit", a Biripi word meaning ''tree by the river'', or more specifically, the Sandpaper Fig ('' Ficus coronata''). History The Biripi were the indigenous people of what is now known as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sadleirian Professor Of Pure Mathematics
The Sadleirian Professorship of Pure Mathematics, originally spelled in the statutes and for the first two professors as Sadlerian, is a professorship in pure mathematics within the DPMMS at the University of Cambridge. It was founded on a bequest from Lady Mary Sadleir for lectureships "for the full and clear explication and teaching that part of mathematical knowledge commonly called algebra". She died in 1706 and lectures began in 1710 but eventually these failed to attract undergraduates. In 1860 the foundation was used to establish the professorship. On 10 June 1863 Arthur Cayley was elected with the statutory duty "to explain and teach the principles of pure mathematics, and to apply himself to the advancement of that science." The stipend attached to the professorship was modest although it improved in the course of subsequent legislation. List of Sadlerian Lecturers of Pure Mathematics *1746–1769 William Ludlam *1826–1835 Lawrence Stephenson List of Sadleirian Lecture ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Senior Whitehead Prize
The Senior Whitehead Prize of the London Mathematical Society (LMS) is now awarded in odd numbered years in memory of John Henry Constantine Whitehead, president of the LMS between 1953 and 1955. The Prize is awarded to mathematicians normally resident in the United Kingdom on 1 January of the relevant year. Selection criteria include work in, influence on or service to mathematics, or recognition of lecturing gifts in the field of mathematics. Previous recipients of top LMS prizes or medals are ineligible for nomination. History The London Mathematical Society dates back to 1864. Augustus De Morgan's wife, writing after his death described how the London Mathematical Society was founded:- It was in the year 1864 that Mr Arthur Cowper Ranyard and George De Morgan ( Augustus De Morgan's son) were discussing mathematical problems during a walk in the streets, when it struck them that it would be very nice to have a society to which discoveries in mathematics could be brought, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Fellow, Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to many eminent scientists throughout history, including Isaac Newton (1672), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Albert Einstein (1921), Paul Dirac (1930), Winston Churchill (1941), Subrahmanyan Chandrasekhar (1944), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955) and Francis Crick (1959). More recently, fellowship has been awarded to Stephen Hawking (1974), David Attenborough (1983), Tim Hunt (1991), Elizabeth Blackburn (1992), Tim Berners-Lee (2001), Venki R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
P-adic L-function
In mathematics, a ''p''-adic zeta function, or more generally a ''p''-adic ''L''-function, is a function analogous to the Riemann zeta function, or more general ''L''-functions, but whose domain and target are ''p-adic'' (where ''p'' is a prime number). For example, the domain could be the ''p''-adic integers Z''p'', a profinite ''p''-group, or a ''p''-adic family of Galois representations, and the image could be the ''p''-adic numbers Q''p'' or its algebraic closure. The source of a ''p''-adic ''L''-function tends to be one of two types. The first source—from which Tomio Kubota and Heinrich-Wolfgang Leopoldt gave the first construction of a ''p''-adic ''L''-function —is via the ''p''-adic interpolation of special values of ''L''-functions. For example, Kubota–Leopoldt used Kummer's congruences for Bernoulli numbers to construct a ''p''-adic ''L''-function, the ''p''-adic Riemann zeta function ζ''p''(''s''), whose values at negative odd integers are those of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iwasawa Theory
In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by (), as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More recently (early 1990s), Ralph Greenberg has proposed an Iwasawa theory for motives. Formulation Iwasawa worked with so-called \Z_p-extensions - infinite extensions of a number field F with Galois group \Gamma isomorphic to the additive group of p-adic integers for some prime ''p''. (These were called \Gamma-extensions in early papers.) Every closed subgroup of \Gamma is of the form \Gamma^, so by Galois theory, a \Z_p-extension F_\infty/F is the same thing as a tower of fields :F=F_0 \subset F_1 \subset F_2 \subset \cdots \subset F_\infty such that \operatorname(F_n/F)\cong \Z/p^n\Z. Iwasawa studied classical Galois modules over F_n by a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sarah Zerbes
Sarah Livia Zerbes (, born 2 August 1978) is a German algebraic number theorist at ETH Zurich. Her research interests include L-functions, modular forms, ''p''-adic Hodge theory, and Iwasawa theory, and her work has led to new insights towards the Birch and Swinnerton-Dyer conjecture, which predicts the number of rational points on an elliptic curve by the behavior of an associated L-function. Education and career Zerbes read mathematics at the University of Cambridge, earning first class honours in 2001. She completed a Ph.D. at Cambridge in 2005; her dissertation, ''Selmer groups over non-commutative p-adic Lie extensions'', was supervised by John H. Coates. While still a graduate student, she became a Marie Curie Fellow at the Institut Henri Poincaré in Paris, and after completing her doctorate she undertook postdoctoral studies as a Hodge Fellow at the Institut des Hautes Études Scientifiques near Paris, as a Chapman Fellow at Imperial College London, and (while working a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrew Wiles
Sir Andrew John Wiles (born 11 April 1953) is an English mathematician and a Royal Society Research Professor at the University of Oxford, specializing in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal by the Royal Society. He was appointed Knight Commander of the Order of the British Empire in 2000, and in 2018, was appointed the first Regius Professor of Mathematics at Oxford. Wiles is also a MacArthur Fellows Program, 1997 MacArthur Fellow. Education and early life Wiles was born on 11 April 1953 in Cambridge, England, Cambridge, England, the son of Maurice Wiles, Maurice Frank Wiles (1923–2005) and Patricia Wiles (née Mowll). From 1952-1955, his father worked as the chaplain at Ridley Hall, Cambridge, and later became the Regius Professor of Divinity at the University of Oxford. Wiles attended King's College School, Cambridge, and The Leys School, Cambridge. Wiles states that h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
