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Martin Liebeck
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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Career and research

Martin Liebeck studied mathematics at the

Mathematisches Forschungsinstitut Oberwolfach
The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do interdisciplinary, collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the Federal Ministry of Education and Research (Germany), German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazism, Nazis in order to further the German war ...
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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 A ''permutation group'' is a subgroup of a symmetric group; that is, its elements are ...
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Martin Bridson
Martin Robert Bridson (born 22 October 1964) is a Manx mathematician. He is Whitehead Professor of Pure Mathematics at the University of Oxford, and the president of the Clay Mathematics Institute. He was previously the 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 199 ...
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Roman Bezrukavnikov
Roman Bezrukavnikov (Russian: Роман Безрукавников; born July 1, 1973) is a Russian-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. Education and career 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 The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ... in 1996 ...
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Pham Huu Tiep
Pham Huu Tiep () 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. 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). Tiep was a member of the 2010 collaboration which completed the proof of Ore's conjecture. In a September 2024 paper, Tiep, along with Gunter Ma ...
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Gary Seitz
Gary Michael Seitz (May 10, 1943 – October 30, 2023) was 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 specialized in the study of algebraic and finite groups. Seitz was 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 simp ...
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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). ...
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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, whe ...
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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 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 approac ...
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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. Education 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. Book 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). Recognition ...
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Pólya Prize (LMS)
The Pólya Prize is a prize in mathematics, awarded by the London Mathematical Society. Second only to the triennial De Morgan Medal in prestige among the society's awards, it is awarded in the years that are not divisible by three – those in which the De Morgan Medal is not awarded. First given in 1987, the prize is named after Hungarian mathematician George Pólya, who was a member of the society for over 60 years. The prize is awarded "in recognition of outstanding creativity in, imaginative exposition of, or distinguished contribution to, mathematics within the United Kingdom". It cannot be given to anyone who has previously received the De Morgan Medal. List of winners * 1987 John Horton Conway * 1988 C. T. C. Wall * 1990 Graeme B. Segal * 1991 Ian G. Macdonald * 1993 David Rees * 1994 David Williams * 1996 David Edmunds * 1997 John Hammersley * 1999 Simon Donaldson * 2000 Terence Lyons * 2002 Nigel Hitchin * 2003 Angus Macintyre * 2005 Michael Berry * 2006 Peter ...
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