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Martin Liebeck

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Martin Walter Liebeck
NationalityBritish
Scientific career
FieldsGroup theory
Algebra
Representation theory
InstitutionsImperial College London
Doctoral advisorPeter Michael Neumann

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.[1][2][3]

Career and research

Martin Liebeck studied mathematics at the University of Oxford 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.[4]

In January 1991 he was appointed Professor at Imperial College London and became Head of the Pure Mathematics section there in 1997.[5] Liebeck has published over 150 research articles and 10 books.[6] His research interests include algebraic combinatorics, algebraic groups, permutation groups, and finite simple groups.[7]

He was elected Fellow of the American Mathematical Society (AMS) in 2019, and was awarded the London Mathematical Society’s Pólya Prize in 2020.

In February of 2020 he and Colva Roney-Dougal[8] organized a programme titled "Groups, Representations and Applications" at the Isaac Newton Institute for Mathematical Sciences.[9]

Personal life

Martin is the son of mathematician Hans Liebeck and mathematics educationalist Pamela Liebeck. 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)
  • 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. 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[6]
  • 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, 1979[10]
  • Senior Mathematical Prize, Oxford University, 1979[10]
  • ISI Highly Cited Researcher, 2011[11]
  • Simons Research Professor, MSRI 2018[12]
  • The President’s Award for Excellence in Leadership, 2019[13]
  • Fellow of the American Mathematical Society, 2019[14]
  • London Mathematical Society (LMS) Pólya Prize in 2020[15]

References

  1. ^ Personal Profile of Prof. Martin Liebeck at Mathematical Sciences Research Institute (MSRI)
  2. ^ Martin Liebeck at Google Scholar
  3. ^ Martin Liebeck at Annals of Mathematics
  4. ^ Martin Liebeck at the Mathematics Genealogy Project
  5. ^ Curriculum Vitae Martin Liebeck
  6. ^ a b Professor Martin Liebeck at Imperial College London: Publications
  7. ^ M. R. Bridson, D. M. Evans, M. W. Liebeck, Dan Segal "Algorithms determining finite simple images of finitely presented groups" Annals of Mathematics, Second Series, Vol. 154, No. 2 (September 2001), pp. 383-406
  8. ^ Britte Spaeth, Pham Tiep and Kay Magaard were also on the organizing committee
  9. ^ Interview with organiser Martin Liebeck GRA programme at The Isaac Newton Institute for Mathematical Sciences, Feb 7, 2020 [video]
  10. ^ a b Professor Martin Liebeck Imperial College London: Honours and Memberships
  11. ^ Imperial is top in Europe for maths, according to international ranking by Simon Levey, Imperial College London, 10 June 2011
  12. ^ Simons Professors Mathematical Sciences Research Institute
  13. ^ College staff recognition awards Imperial College London
  14. ^ List of Fellows American Mathematical Society
  15. ^ Prizes and Awards Imperial College London
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