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Mathematics

D-Index
44
Citations
7519
World Ranking
1596
National Ranking
686

Research.com Recognitions

  • 2018 - Frank Nelson Cole Prize in Algebra
  • 2016 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society

Overview

Robert M. Guralnick is affiliated with the University of Southern California in the United States. Their primary field of study is Mathematics, with a significant focus on Discrete Mathematics and Combinatorics, along with substantial contributions in Geometry and Topology, Artificial Intelligence, Electrical and Electronic Engineering, and Mathematical Physics.

Their research work heavily involves topics such as:

  • Finite Group Theory Research
  • Coding theory and cryptography
  • Graph theory and CDMA systems
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Limits and Structures in Graph Theory
  • Homotopy and Cohomology in Algebraic Topology

Recent publications by Robert M. Guralnick include the following:

  • "Character levels and character bounds for finite classical groups," 2023, published in Inventiones mathematicae
  • "On the generalized Fitting height and insoluble length of finite groups," 2020, published in Bulletin of the London Mathematical Society

Other relevant publications with coauthors include:

  • "On the commuting probability of p-elements in a finite group," 2023, Algebra & Number Theory (author: Timothy C. Burness)
  • "On the maximal overgroups of Sylow subgroups of finite groups," 2024, Advances in Mathematics (author: Barbara Baumeister)
  • "Generic Stabilizers for Simple Algebraic Groups," 2022, The Michigan Mathematical Journal (author: Skip Garibaldi)

Frequent coauthors collaborating with Robert M. Guralnick include:

  • Timothy C. Burness
  • E. I. Khukhro
  • Christopher Parker
  • John Lincoln
  • John S. Wilson

The scientist has published extensively in several venues, with notable publication counts in:

  • arXiv (Cornell University) - 29 publications
  • Journal of Group Theory - 16 publications
  • Journal of Algebra - 6 publications
  • Advances in Mathematics - 4 publications
  • Zenodo (CERN European Organization for Nuclear Research) - 4 publications

Robert M. Guralnick has been recognized with several awards, including:

  • Frank Nelson Cole Prize in Algebra, 2018
  • Fellow of the American Association for the Advancement of Science (AAAS), 2016
  • Fellow of the American Mathematical Society, 2013

Best Publications

  • Subgroups of prime power index in a simple group

    Robert M Guralnick

  • Some applications of the first cohomology group

    M. Aschbacher;R. Guralnick

  • Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements

    Jason Fulman;Robert M. Guralnick

  • Probabilistic generation of finite simple groups, II

    Thomas Breuer;Robert M. Guralnick;William M. Kantor

  • Probabilistic Generation of Finite Simple Groups

    Unknown

  • ON THE COMMUTING PROBABILITY IN FINITE GROUPS

    R M Guralnick;Geoffrey Raymond Robinson

  • Linear Groups with Orders Having Certain Large Prime Divisors

    Robert Guralnick;Tim Penttila;Cheryl E. Praeger;Jan Saxl

  • Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements

    Pavel Etingof;Alexander Soloviev;Robert Guralnick

  • Generation of finite almost simple groups by conjugates

    Robert M. Guralnick;Jan Saxl

  • Schur covers and Carlitz’s conjecture

    Michael D. Fried;Robert Guralnick;Jan Saxl

  • A note on commuting pairs of matrices

    Robert M. Guralnick

  • Simple groups admit Beauville structures

    Robert M. Guralnick;Gunter Malle

  • On the Minimal Degree of a Primitive Permutation Group

    Robert Guralnick;Kay Magaard

  • Cross characteristic representations of symplectic and unitary groups

    Robert M. Guralnick;Kay Magaard;Jan Saxl;Pham Huu Tiep

  • Finite groups of genus zero

    Robert M Guralnick;John G Thompson

  • The rational function analogue of a question of Schur and exceptionality of permutation representations

    Robert M. Guralnick;Peter Müller;Jan Saxl

  • Adequate subgroups

    Robert Guralnick;Florian Herzig;Richard Taylor;Jack Thorne

  • Products of conjugacy classes and fixed point spaces

    Robert M. Guralnick;Gunter Malle

  • The probability of generating a classical group

    Robert M. Guralnick;William M. Kantor;Jan Saxl

  • On base sizes for symmetric groups

    Timothy C. Burness;Robert M. Guralnick;Jan Saxl

  • ON ABELIAN QUOTIENTS OF PRIMITIVE GROUPS

    Michael Aschbacher;Robert M. Guralnick

Frequent Co-Authors

Gunter Malle
Gunter Malle Technical University of Kaiserslautern
Cheryl E. Praeger
Cheryl E. Praeger University of Western Australia
William M. Kantor
William M. Kantor University of Oregon
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science
Jan Saxl
Jan Saxl University of Cambridge
Ben Green
Ben Green University of Oxford
Michael Aschbacher
Michael Aschbacher California Institute of Technology
Terence Tao
Terence Tao University of California, Los Angeles

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