World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
11858
World Ranking
1015
National Ranking
78

Research.com Recognitions

  • 2020 - Fellow of the American Mathematical Society For contributions to group theory, particularly the subgroup structure and representation theory of simple groups and probabilistic group theory.

Overview

Martin W. Liebeck is affiliated with Imperial College London in the United Kingdom. Their research primarily lies in the fields of Mathematics and Computer Science, with a significant focus on Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics, Artificial Intelligence, and Electrical and Electronic Engineering.

The scientist's work covers diverse advanced topics, including Finite Group Theory Research, Advanced Algebra and Geometry, Coding Theory and Cryptography, Geometric and Algebraic Topology, graph theory and CDMA systems, Advanced Topics in Algebra, and Algebraic Geometry and Number Theory.

Martin W. Liebeck has authored several recent papers across notable publication venues. These include:

  • "McKay graphs for alternating and classical groups," 2021, Transactions of the American Mathematical Society
  • "Multiplicity-free Representations of Algebraic Groups," 2024, Memoirs of the American Mathematical Society
  • "Multiplicity-free representations of algebraic groups II," 2021, Journal of Algebra
  • "Character ratios, representation varieties and random generation of finite groups of Lie type," 2020, Advances in Mathematics

Additionally, Martin W. Liebeck has contributed to collaborative works published in venues such as arXiv (Cornell University), Journal of Algebra, Pacific Journal of Mathematics, Advances in Mathematics, and Transactions of the American Mathematical Society.

The scientist frequently collaborates with several other researchers, including:

  • Nick Gill
  • Giovanni De Franceschi
  • E. A. O'Brien
  • Pablo Spiga
  • Donna Testerman

In terms of book publications, Martin W. Liebeck has published works with Springer Nature and Springer Science+Business Media. Notable titles include:

  • "Cherlin's Conjecture for Finite Primitive Binary Permutation Groups" (2022)
  • "Conjugacy in Finite Classical Groups" (2025)

Martin W. Liebeck was recognized as a Fellow of the American Mathematical Society in 2020 for contributions related to group theory, especially the subgroup structure and representation theory of simple groups and probabilistic group theory.

Best Publications

  • The Subgroup Structure of the Finite Classical Groups

    Peter B. Kleidman;Martin W. Liebeck

  • Representations and Characters of Groups

    Gordon James;Martin Liebeck

  • On the O'Nan-Scott theorem for finite primitive permutation groups

    Martin W. Liebeck;Cheryl E. Praeger;Jan Saxl

  • A classification of the maximal subgroups of the finite alternating and symmetric groups

    Martin W Liebeck;Cheryl E Praeger;Jan Saxl

  • The Affine Permutation Groups of Rank Three

    Martin W. Liebeck

  • The maximal factorizations of the finite simple groups and their automorphism groups

    Martin W. Liebeck;Cheryl E. Praeger;Jan Saxl

  • Representations and Characters of Groups: Frontmatter

    Gordon James;Martin Liebeck

  • SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL GROUPS OF LIE TYPE

    Martin W. Liebeck;Jan Saxl;Gary M. Seitz

  • On the Orders of Maximal Subgroups of the Finite Classical Groups

    Martin W. Liebeck

  • Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras

    Martin W. Liebeck;Gary M. Seitz

  • The Ore conjecture

    Martin W. Liebeck;Eamonn A. O'Brien;Aner Shalev;Pham Huu Tiep

  • Linear spaces with flag-transitive automophism groups

    Francis Buekenhout;Anne Delandtsheer;Jean Doyen;Peter P.B. Kleidman

  • The Primitive Permutation Groups of Odd Degree

    Martin W. Liebeck;Jan Saxl

  • The probability of generating a finite simple group

    Martin W. Liebeck;Aner Shalev

  • On the Orders of Maximal Subgroups of the Finite Exceptional Groups of Lie Type

    Martin W. Liebeck;Jan Saxl

  • Diameters of finite simple groups: sharp bounds and applications

    Martin W. Liebeck;Aner Shalev

  • The Local Maximal Subgroups of Exceptional Groups of Lie Type, Finite and Algebraic

    Arjeh M. Cohen;Martin W. Liebeck;Jan Saxl;Gary M. Seitz

  • Simple groups, permutation groups, and probability

    Martin Liebeck;Aner Shalev

  • Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces

    Martin W. Liebeck;Jan Saxl

  • Groups, Combinatorics & Geometry: Twin buildings and groups of Kac-Moody type

    Unknown

  • Reductive subgroups of exceptional algebraic groups

    Martin W. Liebeck;Gary M. Seitz

Frequent Co-Authors

Gary M. Seitz
Gary M. Seitz University of Oregon
Cheryl E. Praeger
Cheryl E. Praeger University of Western Australia
Jan Saxl
Jan Saxl University of Cambridge
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Persi Diaconis
Persi Diaconis Stanford University
William M. Kantor
William M. Kantor University of Oregon
Michael Aschbacher
Michael Aschbacher California Institute of Technology
I. M. Isaacs
I. M. Isaacs University of Wisconsin–Madison

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