Liebeck, Martin
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Liebeck, Martin
Martin Liebeck (born 23 September 1954) is a professor of Pure Mathematics at Imperial College London whose research interests include group theory and algebraic combinatorics.Martin Liebeck
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Martin Liebeck
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Martin Liebeck studied mathematics at the

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Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ...
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Finite Simple Groups
Finite is the opposite of infinite. It may refer to: * Finite number (other) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect * "Finite", a song by Sara Groves from the album '' Invisible Empires'' See also * * Nonfinite (other) Nonfinite is the opposite of finite * a nonfinite verb is a verb that is not capable of serving as the main verb in an independent clause * a non-finite clause In linguistics, a non-finite clause is a dependent or embedded clause that represen ... {{disambiguation fr:Fini it:Finito ...
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Dan Segal
Daniel Segal (born 1947) is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory. He studied at Peterhouse, Cambridge, before taking a PhD at Queen Mary College, University of London, in 1972, supervised by Bertram Wehrfritz, with a dissertation on group theory entitled ''Groups of Automorphisms of Infinite Soluble Groups''. He is an Emeritus Fellow of All Souls College at Oxford, where he was sub-warden from 2006 to 2008. His postgraduate students have included Marcus du Sautoy and Geoff Smith. He is the son of psychoanalyst Hanna Segal and brother of philosopher Gabriel Segal as well of Michael Segal, a senior civil servant. Publications Articles * * * * * * * * * * * * * * * * * Books *''Polycyclic Groups'', Cambridge University Press 19832005 pbk edition*with J. Dixon, M. Du Sautoy, A. Mann ''Analytic pro-p-groups'', Cambridge University Press 1999,
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Martin Bridson
Martin Robert Bridson is a Manx mathematician. He is the Whitehead Professor of Pure Mathematics at the University of Oxford, and President of the Clay Mathematics Institute. He was previously Head of Oxford's Mathematical Institute. He is a Fellow of Magdalen College, Oxford and an Honorary Fellow of Hertford College, Oxford. Specializing in geometry, topology and group theory, Bridson is best known for his work in geometric group theory. Education and early life Bridson is a native of the Isle of Man. He was educated at St Ninian's High School, Douglas, then Hertford College, Oxford, and Cornell University, receiving a Master of Arts degree from Oxford in 1986, and a Master of Science degree in 1988 followed by a PhD in 1991 from Cornell. His PhD thesis was supervised by Karen Vogtmann, and was entitled ''Geodesics and Curvature in Metric Simplicial Complexes''. Career and research He was an assistant professor at Princeton University until 1996, was twice a visiting pr ...
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Roman Bezrukavnikov
Roman Bezrukavnikov (born 1973) is an American mathematician born in Moscow. He is a mathematics professor at the Massachusetts Institute of Technology and the chief research fellow at the HSE International Laboratory of Representation Theory and Mathematical Physics who specializes in representation theory and algebraic geometry. He graduated from Moscow State School 57 mathematical class in 1990, and earned an M.A. at Brandeis University in 1994. He received his Ph.D. in mathematics from Tel Aviv University in 1998 under the supervision of Joseph N. Bernstein. Bezrukavnikov was a visiting scholar at the Institute for Advanced Study in 1996-1998 and again in 2007–2008. He was a Dickson Instructor at the University of Chicago in 1999-2001. In 2001 he was awarded a Clay Research Fellowship, and in 2004, he won a Sloan Research Fellowship from the Alfred P. Sloan Foundation. He was awarded a Simons Fellowship in Mathematics by the Simons Foundation The Simons Foundation ...
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Pham Huu Tiep
Pham Huu Tiep ( vi, Phạm Hữu Tiệp) is a Vietnamese American mathematician specializing in group theory and representation theory. He is currently a Joshua Barlaz Distinguished Professor of Mathematics at Rutgers University. Pham Tiep graduated from Chu Văn An High School, and received a silver medal at the IMO in London in 1979. He received his Ph.D. at Moscow University in 1988 under supervision of Alexei Kostrikin. He gave an invited talk at the International Congress of Mathematicians in Rio de Janeiro in 2018. He is a Fellow of the American Mathematical Society, a Clay Institute Senior Scholar, and a Simons Fellow. Pham Tiep was the fifth Vietnamese mathematician invited to speak at the International Congress of Mathematicians, following Frédéric Pham (1970), Duong Hong Phong (1994), Ngô Bảo Châu (2006, 2010) and Van H. Vu (2014). Selected papers * 2018: "Character bounds for finite groups of Lie type", Acta Math. 221 (2018), 1 - 57 (with Roman Bezrukavnik ...
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Gary Seitz
Gary Michael Seitz (born 1943) is an American mathematician, a Fellow of the American Mathematical Society and a College of Arts and Sciences Distinguished Professor Emeritus in Mathematics at the University of Oregon. He received his Ph.D. from the University of Oregon in 1968, where his adviser was Charles W. Curtis. Seitz specializes in the study of algebraic and finite groups. Seitz has been active in the effort to exploit the relationship between algebraic groups and the finite groups of Lie type, in order to study the structure and representations of groups in the latter class. Such information is important in its own right, but was also critical in the classification of the finite simple groups, a major achievement of 20th century mathematics. Seitz made contributions to the classification of finite simple groups, such as those containing standard subgroups of Lie type. Following the classification, he pioneered the study of the subgroup structure of simple algebraic groups, ...
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Aner Shalev
Aner Shalev (born 24 January 1958) is a professor at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, and a writer. Biography Shalev was born in Kibbutz Kinneret and grew up in Beit Berl. He moved to Jerusalem at 18 to study mathematics and philosophy at the Hebrew University, and since then, excluding some years abroad, he has been living mainly in Jerusalem. Shalev received his Ph.D. in mathematics at the Hebrew University in 1989, summa cum laude. His doctoral thesis was written under the supervision of Professors Amitsur and Mann and dealt with group rings, an area combining group theory and ring theory. Shalev spent his post-doctoral period at Oxford University and at the University of London, returned to Israel in 1992, when he was hired as a senior lecturer at the Hebrew University. Shalev was appointed full professor in 1996, and spent sabbaticals at the Universities of Chicago, Oxford (All Souls College), and London (Imperial College). H ...
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Jan Saxl
Jan Saxl (5 June 1948 – 2 May 2020) was a Czech-British mathematician, and a professor at the University of Cambridge. He was known for his work in finite group theory, particularly on consequences of the classification of finite simple groups. Education and career Saxl was born in Brno, in what was at the time Czechoslovakia. He came to the United Kingdom in 1968, during the Prague Spring. After undergraduate studies at the University of Bristol, he completed his DPhil in 1973 at the University of Oxford under the direction of Peter M. Neumann, with the title of ''Multiply Transitive Permutation Groups''. Saxl held postdoctoral positions at Oxford and the University of Illinois at Chicago, and a lecturer position at the University of Glasgow. He moved to the University of Cambridge in 1976, and spent the rest of his career there. He was elected as a fellow of Gonville and Caius College in 1986, and he retired in 2015. Saxl published around 100 papers, and according to ...
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Pamela Liebeck
Pamela Liebeck (née Lawrence, 1930–2012) was a British mathematician and mathematics educator, the author of two books on mathematics. Life Liebeck was born in Bromley on 11 July 1930, grew up in Surrey, and read mathematics at Somerville College, Oxford beginning in 1949. At Oxford, she also played on the cricket and tennis teams. After additional study at the University of Cambridge, she became a mathematics teacher. Her husband Hans Liebeck was also an Oxford mathematics student; they met through a shared love of playing chamber music, married in 1953, and moved together to Cape Town University in South Africa in 1955, where Liebeck taught mathematics part-time while raising two children and studying music. In 1961, Liebeck and her husband returned to England. As their (now three) children grew old enough, she returned to teaching, first at the Madeley College of Education in Newcastle-under-Lyme (eventually part of Staffordshire University) and then at Keele University, wh ...
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Isaac Newton Institute For Mathematical Sciences
The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its many applications at the University of Cambridge. It is named after one of the university's most illustrious figures, the mathematician and natural philosopher Sir Isaac Newton and occupies one of the buildings in the Cambridge Centre for Mathematical Sciences. History After a national competition run by SERC, the Science and Engineering Research Council (now known as EPSRC Engineering and Physical Sciences Research Council), this institute was chosen to be the national research institute for mathematical sciences in the UK. It opened in 1992 with support from St John's College and Trinity College. St. John's provided the land and a purpose-built building, Trinity provided running costs for the first five years and the London Mathematical Society provided other support. Shortly afterwards at the institute, the British mathematician Andrew Wiles announced his a ...
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Colva Roney-Dougal
Colva Mary Roney-Dougal is a British mathematician specializing in group theory and computational algebra. She is Professor of Pure Mathematics at the University of St Andrews, and the Director of the Centre for Interdisciplinary Research in Computational Algebra at St Andrews. She is also known for her popularization of mathematics on BBC radio shows, including appearances on ''In Our Time'' about the mathematics of Emmy Noether and Pierre-Simon Laplace and on ''The Infinite Monkey Cage'' about the nature of infinity and numbers in the real world. Roney-Dougal completed her PhD at the University of London in 2001. Her dissertation, ''Permutation Groups with a Unique Non-diagonal Self-paired Orbital'', was supervised by Peter Cameron. With John Bray and Derek Holt, Roney-Dougal is the co-author of the book ''The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'' (London Mathematical Society and Cambridge University Press, 2013). In 2015 she was given the inaugura ...
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