D-Index & Metrics Best Publications

John H. Conway

Princeton University
United States

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name Citations Publications World Ranking National Ranking

Mathematics D-index 49 Citations 27,426 145 World Ranking 816 National Ranking 408

Research.com Recognitions

Awards & Achievements

2000 - Steele Prize for Mathematical Exposition

Overview

What is he best known for?

The fields of study he is best known for:

Algebra
Geometry
Combinatorics

Combinatorics, Discrete mathematics, Algebra, Mathematical game and Euclidean space are his primary areas of study. His work in the fields of Combinatorics, such as Polytope and Substitution tiling, intersects with other areas such as Trihexagonal tiling, Arrangement of lines and Triangular tiling. His work carried out in the field of Discrete mathematics brings together such families of science as Centroid, Decoding methods, Gaussian channels, Lattice and Dual polyhedron.

In his works, he undertakes multidisciplinary study on Algebra and Projective plane. Mathematical game is a subfield of Game theory that John H. Conway explores. His research integrates issues of Disjoint sets, Argument, Spatial graph and Embedding in his study of Euclidean space.

His most cited work include:

Sphere packings, lattices, and groups (3780 citations)
ATLAS of Finite Groups (2649 citations)
Winning Ways for your Mathematical Plays (1205 citations)

What are the main themes of his work throughout his whole career to date?

John H. Conway mainly focuses on Combinatorics, Pure mathematics, Discrete mathematics, Lattice and Leech lattice. His Combinatorics study is mostly concerned with Unimodular matrix and Euclidean space. His work on Dimension expands to the thematically related Euclidean space.

His Pure mathematics research incorporates themes from Plane and Simple. John H. Conway works mostly in the field of Discrete mathematics, limiting it down to topics relating to Linear code and, in certain cases, Hamming code, as a part of the same area of interest. His Ternary Golay code research integrates issues from Binary Golay code, Pseudogroup, Cayley graph and Mathieu group.

He most often published in these fields:

Combinatorics (41.67%)
Pure mathematics (17.26%)
Discrete mathematics (16.67%)

What were the highlights of his more recent work (between 2007-2020)?

Combinatorics (41.67%)
Pure mathematics (17.26%)
Theoretical physics (4.76%)

In recent papers he was focusing on the following fields of study:

John H. Conway focuses on Combinatorics, Pure mathematics, Theoretical physics, Function and Free will theorem. His Combinatorics research is multidisciplinary, incorporating elements of Isosceles triangle and Direct proof. His study in Pure mathematics is interdisciplinary in nature, drawing from both Plane, Clone and Thou.

His studies in Theoretical physics integrate themes in fields like Classical mechanics, Symmetry and Homogeneous space. The various areas that he examines in his Function study include Finite group, Prime factor, Galois group, Order and Group Number. His study on Free will theorem also encompasses disciplines like

Type together with Light cone and Calculus,
Axiom which connect with Basis.

Between 2007 and 2020, his most popular works were:

The Symmetries of Things (172 citations)
The Strong Free Will Theorem (140 citations)
The Pascal Mysticum Demystified (19 citations)

In his most recent research, the most cited papers focused on:

Algebra
Geometry
Real number

His primary areas of investigation include Combinatorics, Programming language, Pascal, Function and Arithmetic function. Combinatorics is represented through his Tessellation and Regular polyhedron research. He has researched Function in several fields, including Group Number, Finite group, Pure mathematics, Prime factor and Order.

His work in Arithmetic function is not limited to one particular discipline; it also encompasses Arithmetic.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Sphere packings, lattices, and groups

J. H. Conway;N. J. A. Sloane;E. Bannai.
(1987)

6756 Citations

ATLAS of Finite Groups

Robert Arnott Wilson;John Horton Conway;Simon P. Norton.
(1985)

4667 Citations

Winning Ways for your Mathematical Plays

Elwyn R. Berlekamp;John Horton Conway;Richard K. Guy.
(1982)

1971 Citations

On Numbers and Games

John Horton Conway.
(1976)

1316 Citations

On Numbers and Games

John Horton Conway.
(1976)

1298 Citations

Regular algebra and finite machines

John Horton Conway.
(1971)

1022 Citations

Packing lines, planes, etc.: packings in Grassmannian spaces

John H. Conway;Ronald H. Hardin;Neil J. A. Sloane.
Experimental Mathematics (1996)

895 Citations

The Book of Numbers

John Horton Conway;Richard K. Guy.
(1996)

795 Citations

On Quaternions and Octonions

John Horton Conway;Derek Alan Smith.
(2003)

693 Citations

Fast quantizing and decoding and algorithms for lattice quantizers and codes

J. Conway;N. Sloane.
IEEE Transactions on Information Theory (1982)

577 Citations

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