Martin Liebeck (born 23 September 1954) is a professor of

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, ...

Imperial College London Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...

whose research interests include

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 ...

and

algebraic combinatorics Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...

.Martin Liebeck
at

Google Scholar Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes p ...

Martin Liebeck
at

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...

Career and research

Martin Liebeck studied mathematics at the

University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...

earning a First Class BA in 1976, an MSc in 1977, and a D.Phil. in 1979, with the Dissertation ''Finite Permutation Groups'' under

Peter M. Neumann Peter Michael Neumann OBE (28 December 1940 – 18 December 2020) was a British mathematician. His fields of interest included the history of mathematics and Galois theory. Biography Born in December 1940, Neumann was a son of the German-bo ...

.Martin Liebeck
at the

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 ty ...

In January 1991 he was appointed Professor at Imperial College London and became Head of the Pure Mathematics section there in 1997.Curriculum Vitae
Martin Liebeck Liebeck has published over 150 research articles and 10 books.
at Imperial College London: Publications His research interests include

algebraic groups In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. M ...

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 ...

, and

finite simple groups Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * 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 ...

. He was elected Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

(AMS) in 2019, and was awarded the

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 S ...

’s Pólya Prize in 2020. In February of 2020 he and

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 Compu ...

organized a programme titled "Groups, Representations and Applications" at the

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 mathemat ...

Personal life

Martin is the son of mathematician Hans Liebeck and mathematics educationalist

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 Coll ...

. His wife Ann is a professional musician, and they have two sons Jonathan and Matthew. Martin's main hobbies are playing tennis and the violin, particularly doubles and chamber music.

Selected publications

Papers

* 1990: "The maximal factorizations of the finite simple groups and their automorphism groups", Memoirs Amer. Math. Soc. 86, pp. 1–151 (with C.E. Praeger and

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 ...

) * 1995: "The probability of generating a finite simple group", Geom. Dedicata 56, 103-113 (with A. Shalev) * 1998: "On the subgroup structure of classical groups", Invent. Math. 134, 427-453 (with G.M. Seitz) * 1999: "Simple groups, permutation groups, and probability", J. Amer. Math. Soc. 12, 497-520 (with A. Shalev) * 2001: "Diameters of finite simple groups: sharp bounds and applications", Annals of Math. 154, 383-406 (with A. Shalev) * 2004: "The maximal subgroups of positive dimension in exceptional algebraic groups", Memoirs Amer. Math. Soc. 169, no. 802, pp. 1–227 (with G.M. Seitz) * 2010: "The Ore Conjecture", J. European Math. Soc., 12, 939–1008 (with E. O’Brien, A. Shalev, P. Tiep) * 2018: "Character bounds for finite groups of Lie type", Acta Math. 221, 1–57 (with R. Bezrukavnikov, A. Shalev and P. Tiep) * 2019: "Algorithms determining finite simple images of finitely presented groups", Inventiones Math. 218, 623–648 (with M. Bridson, D.M. Evans and D. Segal)

Books

* 1990: ''The Subgroup Structure of the Finite Classical Groups'', London Math. Soc. Lecture Note Series No. 129, Cambridge Univ. Press, 303pp. (with P. Kleidman) * 2000: ''A Concise Introduction to Pure Mathematics'', CRC Press, 2000; Second Edition, 2005; Third Edition, 2010; Fourth Edition, 2015 * 2012: ''Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras'', Math. Surveys and Monographs Series, Vol. 180, American Math. Soc., 380pp. (with G.M. Seitz)

Awards and distinctions

* Johnson University Prize, Oxford University, 1979Professor Martin Liebeck
Imperial College London: Honours and Memberships * Senior Mathematical Prize, Oxford University, 1979 * ISI Highly Cited Researcher, 2011 * Simons Research Professor, MSRI 2018 * The President's Award for Excellence in Leadership, 2019 * Fellow of the American Mathematical Society, 2019List of Fellows
American Mathematical Society *

(LMS) Pólya Prize in 2020Prizes and Awards
Imperial College London

References

External links

*
Personal web page
{{DEFAULTSORT:Liebeck, Martin 20th-century British mathematicians 21st-century British mathematicians Group theorists Algebraists Fellows of the American Mathematical Society Academics of Imperial College London Alumni of the University of Oxford Living people 1954 births