What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Geometry
Combinatorics, Pure mathematics, Discrete mathematics, Symplectic geometry and Projective space are his primary areas of study.
His Combinatorics study combines topics from a wide range of disciplines, such as Classification of finite simple groups and Group.
Many of his research projects under Pure mathematics are closely connected to Homogeneous with Homogeneous, tying the diverse disciplines of science together.
His Discrete mathematics research is multidisciplinary, relying on both Algebraic geometry, Geometry, Differential geometry and Classical group.
The Symplectic geometry study combines topics in areas such as Commutative property, Semifield, Order, Binary logarithm and Polynomial.
His Projective space research is multidisciplinary, incorporating elements of Projective plane, Linear subspace and Affine transformation.
His most cited work include:
- The Geometry of Two‐Weight Codes (461 citations)
- Z4-kerdock codes, orthogonal spreads, and extremal euclidean line-sets (283 citations)
- Homogeneous designs and geometric lattices (179 citations)
What are the main themes of his work throughout his whole career to date?
William M. Kantor mostly deals with Combinatorics, Discrete mathematics, Pure mathematics, Group and Simple group.
His work deals with themes such as Classification of finite simple groups and Permutation group, which intersect with Combinatorics.
William M. Kantor interconnects Profinite group, Group of Lie type, Prime power and Symplectic geometry in the investigation of issues within Discrete mathematics.
The concepts of his Pure mathematics study are interwoven with issues in Projective plane and Type.
His work on Sylow theorems as part of general Group research is often related to Black box, thus linking different fields of science.
His Simple group study incorporates themes from Time complexity, Rank, Finite group and Field.
He most often published in these fields:
- Combinatorics (67.93%)
- Discrete mathematics (29.89%)
- Pure mathematics (22.83%)
What were the highlights of his more recent work (between 2007-2019)?
- Combinatorics (67.93%)
- Discrete mathematics (29.89%)
- Group (21.74%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Group, Finite group and Simple group.
His Combinatorics research incorporates elements of Symplectic geometry, Rank and Field.
The various areas that William M. Kantor examines in his Discrete mathematics study include Affine group, Affine geometry, Affine plane and Dimension.
His Group course of study focuses on Finite set and If and only if.
His Finite group study also includes fields such as
- Schur multiplier which connect with Profinite group, Covering groups of the alternating and symmetric groups, Cycle graph and Non-abelian group,
- Symmetric group which intersects with area such as Primitive permutation group, Cyclic permutation, Partial permutation, Base and Frobenius group.
His Pure mathematics research includes themes of Projective plane and Transitive relation.
Between 2007 and 2019, his most popular works were:
- Invariable generation and the Chebotarev invariant of a finite group (41 citations)
- Presentations of finite simple groups: a quantitative approach (33 citations)
- Large element orders and the characteristic of Lie-type simple groups ✩ (33 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Geometry
William M. Kantor spends much of his time researching Combinatorics, Group, Simple group, Isomorphism and Computational group theory.
His Combinatorics study combines topics in areas such as Discrete mathematics, Profinite group, Classification of finite simple groups and Field.
His Classification of finite simple groups study integrates concerns from other disciplines, such as Constant, CA-group, Prime and Conjecture.
His Field research includes elements of Time complexity and Permutation group.
The study incorporates disciplines such as Generating set of a group, Computation, Matrix group and Rank in addition to Simple group.
His studies deal with areas such as Dual, Binary logarithm, Type, Cohomology and Symplectic geometry as well as Rank.
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