World's Best Scientists 2026 revealed!

D-Index & Metrics

Computer Science

D-Index
45
Citations
7291
World Ranking
7274
National Ranking
3173

Mathematics

D-Index
53
Citations
8714
World Ranking
919
National Ranking
436

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

William M. Kantor is a researcher affiliated with the University of Oregon in the United States. Their work spans multiple areas within mathematics, with a strong focus on finite group theory and its applications. Kantor's research includes contributions to graph theory, combinatorics, and algebraic geometry.

Their publication record features papers in well-regarded mathematical journals and archives. Recent papers include:

  • "Strongly Regular Graphs Satisfying the 4-Vertex Condition" (2023, COMBINATORICA)
  • "Automorphism Groups of Steiner Triple Systems" (2022, Algebraic Combinatorics)
  • "ON 2-TRANSITIVE SETS OF EQUIANGULAR LINES" (2022, Bulletin of the Australian Mathematical Society)
  • "Automorphism Subgroups for Designs with λ=1" (2021, Designs Codes and Cryptography)
  • "Strongly Regular Graphs Satisfying the 4-Vertex Condition" (2021, arXiv (Cornell University))

The researcher has collaborated frequently with others including Theo Grundhöfer, Würzburg Joswig, John Bamberg, Eiichi Crawley, and Shanghai Bannai.

Kantor's works have appeared regularly in venues such as Advances in Geometry, arXiv, COMBINATORICA, Bulletin of the Australian Mathematical Society, and Algebraic Combinatorics.

Their main fields of study are within mathematics, emphasizing discrete mathematics and combinatorics. Subfields include:

  • Discrete Mathematics and Combinatorics
  • Electrical and Electronic Engineering
  • Geometry and Topology
  • Mathematical Physics
  • Genetics

The main research topics reflected in their work are:

  • Finite Group Theory Research
  • Graph Theory and CDMA Systems
  • Graph Theory and Applications
  • Advanced Algebra and Geometry
  • Geometric and Algebraic Topology
  • Chronic Lymphocytic Leukemia Research
  • Advanced Mathematical Theories

Kantor was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The Geometry of Two-Weight Codes

    R. Calderbank;W. M. Kantor

  • Z4-kerdock codes, orthogonal spreads, and extremal euclidean line-sets

    AR Calderbank;PJ Cameron;WM Kantor;JJ Seidel

  • Homogeneous designs and geometric lattices

    William M Kantor

  • The probability of generating a finite classical group

    William M. Kantor;Alexander Lubotzky

  • Primitive permutation groups of odd degree, and an application to finite projective planes

    William M Kantor

  • k-Homogeneous groups

    William M. Kantor

  • Probabilistic generation of finite simple groups, II

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

  • The 2-transitive permutation representations of the finite Chevalley groups

    Charles W. Curtis;William M. Kantor;Gary M. Seitz

  • Spreads, Translation Planes and Kerdock Sets. I

    William M. Kantor

  • Probabilistic Generation of Finite Simple Groups

    Unknown

  • The rank 3 permutation representations of the finite classical groups

    William M. Kantor;Robert A. Liebler

  • Ovoids and Translation Planes

    William M. Kantor

  • Computational complexity and the classification of finite simple groups

    L. Babai;W. M. Kantor;E. M. Luks

  • Subgroups of classical groups generated by long root elements

    William M. Kantor

  • Relative Brauer groups II.

    M. Schacher;B. Fein;W.M. Kantor

  • 2-Transitive and antiflag transitive collineation groups of finite projective spaces

    P.J Cameron;W.M Kantor

  • The mathematics of perfect shuffles

    Persi Diaconis;R.L Graham;William M Kantor

  • Linear groups containing a singer cycle

    William M Kantor

  • Finite groups with a split BN-pair of rank 1. II

    William M. Kantor;Gary M. Seitz

  • On incidence matrices of finite projective and affine spaces

    William M. Kantor

  • Commutative semifields and symplectic spreads

    William M. Kantor

Frequent Co-Authors

Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science
Robert M. Guralnick
Robert M. Guralnick University of Southern California
Peter J. Cameron
Peter J. Cameron University of St Andrews
László Babai
László Babai University of Chicago
Gary M. Seitz
Gary M. Seitz University of Oregon
Jacques Tits
Jacques Tits Collège de France
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Ron Graham
Ron Graham University of California, San Diego
Dragan Marušič
Dragan Marušič University of Primorska
Peter Frankl
Peter Frankl Alfréd Rényi Institute of Mathematics

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students exploring the field of Mathematics in the USA, expanding your qualifications through related online degrees can open diverse career opportunities. Many professionals consider business-oriented programs that complement math skills, such as the easiest MBA programs to get into. These offer flexibility and practical knowledge that enhance leadership and analytical capabilities.

Online learning has made pursuing advanced degrees more accessible. If convenience is a priority, the easiest online MBA degree programs to get into provide quality education with reduced barriers to admission, perfect for working professionals seeking growth.

For those aiming at executive roles, the cheapest online DBA programs offer a cost-effective route to doctoral-level expertise, combining business acumen with research skills.

Additionally, careers in finance remain highly lucrative for math graduates. Exploring the cheapest masters in finance can provide specialized financial knowledge and quantitative skills essential for roles in investment, risk management, and financial analysis.

Best Scientists Citing William M. Kantor

Trending Scientists