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Konstantin Ardakov
Konstantin Ardakov (born 1979) is professor of pure mathematics at the Mathematical Institute, University of Oxford and fellow and tutor in mathematics at Brasenose College, Oxford. After education at the University of Oxford and the University of Cambridge, he held positions at Cambridge, the University of Sheffield, the University of Nottingham, and Queen Mary University of London, before returning to Oxford. He was awarded the 2019–20 Adams Prize for making "substantial contributions to noncommutative 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 th ..., and to the ''p''-adic representation theory of ''p''-adic Lie groups". References Living people 1979 births British mathematicians Fellows of Brasenose College, Oxford Academics of the University of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pure Mathematics
Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications. Instead, the appeal is attributed to the intellectual challenge and aesthetic beauty of working out the logical consequences of basic principles. While pure mathematics has existed as an activity since at least Ancient Greece, the concept was elaborated upon around the year 1900, after the introduction of theories with counter-intuitive properties (such as non-Euclidean geometries and Cantor's theory of infinite sets), and the discovery of apparent paradoxes (such as continuous functions that are nowhere differentiable, and Russell's paradox). This introduced the need to renew the concept of mathematical rigor and rewrite all mathematics accordingly, with a sy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Noncommutative Ring
In mathematics, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exist ''a'' and ''b'' in the ring such that ''ab'' and ''ba'' are different. Equivalently, a ''noncommutative ring'' is a ring that is not a commutative ring. Noncommutative algebra is the part of ring theory devoted to study of properties of the noncommutative rings, including the properties that apply also to commutative rings. Sometimes the term ''noncommutative ring'' is used instead of ''ring'' to refer to a unspecified ring which is not necessarily commutative, and hence may be commutative. Generally, this is for emphasizing that the studied properties are not restricted to commutative rings, as, in many contexts, ''ring'' is used as a shortcut for ''commutative ring''. Although some authors do not assume that rings have a multiplicative identity, in this article we make that assumption unless stated otherwise. Examples Some examples of noncommutative rings: * The m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Mathematicians
British may refer to: Peoples, culture, and language * British people, nationals or natives of the United Kingdom, British Overseas Territories, and Crown Dependencies. ** Britishness, the British identity and common culture * British English, the English language as spoken and written in the United Kingdom or, more broadly, throughout the British Isles * Celtic Britons, an ancient ethno-linguistic group * Brittonic languages, a branch of the Insular Celtic language family (formerly called British) ** Common Brittonic, an ancient language Other uses *''Brit(ish)'', a 2018 memoir by Afua Hirsch *People or things associated with: ** Great Britain, an island ** United Kingdom, a sovereign state ** Kingdom of Great Britain (1707–1800) ** United Kingdom of Great Britain and Ireland (1801–1922) See also * Terminology of the British Isles * Alternative names for the British * English (other) * Britannic (other) * British Isles * Brit (other) * B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1979 Births
Events January * January 1 ** United Nations Secretary-General Kurt Waldheim heralds the start of the '' International Year of the Child''. Many musicians donate to the '' Music for UNICEF Concert'' fund, among them ABBA, who write the song '' Chiquitita'' to commemorate the event. ** The United States and the People's Republic of China establish full diplomatic relations. ** Following a deal agreed during 1978, French carmaker Peugeot completes a takeover of American manufacturer Chrysler's European operations, which are based in Britain's former Rootes Group factories, as well as the former Simca factories in France. * January 7 – Cambodian–Vietnamese War: The People's Army of Vietnam and Vietnamese-backed Cambodian insurgents announce the fall of Phnom Penh, Cambodia, and the collapse of the Pol Pot regime. Pol Pot and the Khmer Rouge retreat west to an area along the Thai border, ending large-scale fighting. * January 8 – Whiddy Island Disaster: The Frenc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lie Group
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses (division), or equivalently, the concept of addition and the taking of inverses (subtraction). Combining these two ideas, one obtains a continuous group where multiplying points and their inverses are continuous. If the multiplication and taking of inverses are smooth (differentiable) as well, one obtains a Lie group. Lie groups provide a natural model for the concept of continuous symmetry, a celebrated example of which is the rotational symmetry in three dimensions (given by the special orthogonal group \text(3)). Lie groups are widely used in many parts of modern mathematics and physics. ... [...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] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adams Prize
The Adams Prize is one of the most prestigious prizes awarded by the University of Cambridge. It is awarded each year by the Faculty of Mathematics at the University of Cambridge and St John's College to a UK-based mathematician for distinguished research in the Mathematical Sciences. The prize is named after the mathematician John Couch Adams. It was endowed by members of St John's College and was approved by the senate of the university in 1848 to commemorate Adams' controversial role in the discovery of the planet Neptune. Originally open only to Cambridge graduates, the current stipulation is that the mathematician must reside in the UK and must be under forty years of age. Each year applications are invited from mathematicians who have worked in a specific area of mathematics. the Adams Prize is worth approximately £14,000. The prize is awarded in three parts. The first third is paid directly to the candidate; another third is paid to the candidate's institution to fund ... [...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 Woodsto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Nottingham
, mottoeng = A city is built on wisdom , established = 1798 – teacher training college1881 – University College Nottingham1948 – university status , type = Public , chancellor = Lola Young, Baroness Young of Hornsey , vice_chancellor = Shearer West , head_label = Visitor , head = Penny Mordaunt(as Lord President of the Council '' ex officio'') , students = domestic () 43,893 worldwide , undergrad = domestic () , postgrad = domestic () , city = Nottingham , country = England , coor = , colours = University: blue and white Sports: green and gold , endowment = £72.3 million (2021) , budget = £694.0 million (2020–21) , affiliations = ACU Association of MBAs EQUIS EUARussell Group Sutton 30 Uni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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