# John Horton Conway

#235

Most Influential Person Now

English mathematician

## John Horton Conway's AcademicInfluence.com Rankings

John Horton Conwaymathematics Degrees

Mathematics

#20

World Rank

#72

Historical Rank

Game Theory

#5

World Rank

#5

Historical Rank

Group Theory

#8

World Rank

#11

Historical Rank

Combinatorics

#17

World Rank

#21

Historical Rank

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Mathematics

## Why Is John Horton Conway Influential?

(Suggest an Edit or Addition)According to Wikipedia, John Horton Conway was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton called the Game of Life.

## John Horton Conway's Published Works

### Published Works

- ATLAS of Finite Groups (1985) (3801)
- Sphere Packings, Lattices and Groups (1987) (2910)
- Winning Ways for Your Mathematical Plays (1983) (1807)
- Regular algebra and finite machines (1971) (918)
- Atlas of finite groups : maximal subgroups and ordinary characters for simple groups (1987) (859)
- An enumeration of knots and links, and some of their algebraic properties (1970) (824)
- Editors' Note on Packing Lines, Planes, etc.: Packings in Grassmannian Spaces (2002) (776)
- On Numbers and Games (1976) (561)
- Fast quantizing and decoding and algorithms for lattice quantizers and codes (1982) (445)
- The game of life. (1996) (387)
- On Quaternions and Octonions (2003) (385)
- The Free Will Theorem (2006) (378)
- A new upper bound on the minimal distance of self-dual codes (1990) (376)
- Voronoi regions of lattices, second moments of polytopes, and quantization (1982) (313)
- The Book of Numbers (1995) (308)
- The Symmetries of Things (2008) (304)
- Knots and links in spatial graphs (1983) (264)
- A fast encoding method for lattice codes and quantizers (1983) (262)
- Tiling with polyominoes and combinatorial group theory (1990) (237)
- The Strong Free Will Theorem (2008) (214)
- Self-Dual Codes over the Integers Modulo 4 (1993) (203)
- Triangulated polygons and frieze patterns (1973) (188)
- Trigonometric diophantine equations (On vanishing sums of roots of unity) (1976) (187)
- On the Enumeration of Self-Dual Codes (1980) (186)
- A simple construction for the Fischer-Griess monster group (1985) (176)
- Soft decoding techniques for codes and lattices, including the Golay code and the Leech lattice (1986) (176)
- Winning Ways for Your Mathematical Plays, Volume 2 (2003) (167)
- Lexicographic codes: Error-correcting codes from game theory (1986) (146)
- The sensual (quadratic) form (1997) (139)
- A Group of Order 8,315,553,613,086,720,000 (1969) (132)
- The Binary Self-Dual Codes of Length up to 32: A Revised Enumeration (1992) (126)
- Self-dual codes over GF(3) and GF(4) of length not exceeding 16 (1979) (122)
- Minimal-energy clusters of hard spheres (1995) (122)
- Packing, tiling, and covering with tetrahedra. (2006) (118)
- Three Lectures on Exceptional Groups (1988) (113)
- A characterisation of Leech's lattice (1969) (106)
- ON TRANSITIVE PERMUTATION GROUPS (1998) (92)
- The automorphism group of the 26-dimensional even unimodular Lorentzian lattice (1983) (90)
- Winning Ways for Your Mathematical Plays, Volume 4 (2004) (85)
- A lower bound on the average error of vector quantizers (1985) (85)
- On the Voronoi Regions of Certain Lattices (1984) (83)
- Low–dimensional lattices. VII. Coordination sequences (1997) (79)
- Low-dimensional lattices. VI. Voronoi reduction of three-dimensional lattices (1992) (78)
- Low-dimensional lattices. IV. The mass formula (1988) (71)
- The Cell Structures of Certain Lattices (1991) (70)
- The covering radius of the Leech lattice (1982) (67)
- On the Existence of Similar Sublattices (1999) (66)
- Four-dimensional lattices with the same theta series (1992) (65)
- Groups, Combinatorics & Geometry: The orbifold notation for surface groups (1992) (61)
- On numbers and games, Second Edition (2001) (60)
- On the enumeration of lattices of determinant one (1982) (59)
- What are all the best sphere packings in low dimensions? (1995) (57)
- Low-dimensional lattices. I. Quadratic forms of small determinant (1988) (56)
- Techniques of Bounding the Probability of Decoding Error for Block Coded Modulation Structures (1994) (54)
- On Lattices Equivalent To Their Duals (1994) (54)
- The Coxeter–Todd lattice, the Mitchell group, and related sphere packings (1983) (53)
- On primes dividing the group order of a doubly-even (72, 36, 16) code and the group order of a quaternary (24, 12, 10) code (1982) (51)
- FRACTRAN: A Simple Universal Programming Language for Arithmetic (1987) (51)
- Quaquaversal tilings and rotations (1998) (49)
- New families of ovoids in O+8 (1988) (47)
- The Orbifold Notation for Two-Dimensional Groups (2002) (46)
- On the discrete groups of Moonshine (2004) (45)
- Twenty-three constructions for the Leech lattice (1982) (43)
- The Weird and Wonderful Chemistry of Audioactive Decay (1987) (40)
- Low-dimensional lattices. III. Perfect forms (1988) (40)
- Construction of the Rudvalis group of order 145,926,144,000☆ (1973) (40)
- Gray codes for reflection groups (1989) (37)
- Triangulated polygons and frieze patterns (1973) (37)
- On Three-Dimensional Space Groups (1999) (36)
- Elementary Problems: E2564-E2569 (1975) (36)
- The Angel Problem (1996) (35)
- A perfect group of order 8,315,553,613,086,720,000 and the sporadic simple groups. (1968) (35)
- The D 4 Root System Is Not Universally Optimal (2006) (34)
- A Note on Optimal Unimodular Lattices (1998) (33)
- Stability of Polyhedra (1966) (30)
- Low-dimensional lattices. II. Subgroups of GL(n, ℤ) (1988) (29)
- On Angles Whose Squared Trigonometric Functions Are Rational (1998) (29)
- The Pascal Mysticum Demystified (2012) (28)
- Low-dimensional lattices V. Integral coordinates for integral lattices (1989) (28)
- ON THE DISTRIBUTION OF VALUES OF ANGLES DETERMINED BY COPLANAR POINTS (1979) (27)
- Integral lexicographic codes (1990) (27)
- All Games Bright and Beautiful (1977) (25)
- DIAGRAMS FOR MODULAR LATTICES (1985) (25)
- The Unimodular Lattices of Dimension up to 23 and the Minkowski-Siegel Mass Constants (1982) (24)
- Orbit and coset analysis of the Golay and related codes (1990) (23)
- FURTHER LATTICE PACKINGS IN HIGH DIMENSIONS (1982) (23)
- Understanding groups like G 0 N (1996) (23)
- A LATTICE WITHOUT A BASIS OF MINIMAL VECTORS (1995) (23)
- Extremal self-dual lattices exist only in dimensions 1 to 8 (1978) (22)
- A new upper bound for the minimum of an integral lattice of determinant 1 (1990) (22)
- Counting Groups: Gnus, Moas, and other Exotica (2008) (22)
- Lorentzian forms for the Leech lattice (1982) (21)
- Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others (1994) (21)
- Quasiperiodic tiling in two and three dimensions (1986) (20)
- Hearing the Platycosms (2003) (20)
- THE MATHIEU GROUP M12 AND ITS PSEUDOGROUP EXTENSION M13 (2006) (20)
- New family of tilings of three-dimensional Euclidean space by tetrahedra and octahedra (2011) (18)
- Division by three (2006) (18)
- Complex and integral laminated lattices (1983) (18)
- On Unsettleable Arithmetical Problems (2013) (17)
- Extending the Pascal Mysticum (2013) (16)
- On the Classification of Integral Quadratic Forms (1999) (16)
- Mathematical kayles (1992) (16)
- Monomials of orders 7 and 11 cannot be in the group of a (24, 12, 10) self-dual quaternary code (1983) (15)
- Monsters and Moonshine (1980) (15)
- Recent Progress in Sphere Packing (1999) (14)
- Reply to Comments of Bassi, Ghirardi, and Tumulka on the Free Will Theorem (2007) (13)
- The Automorphism Group of the 26-Dimensional Lorentzian Lattice (1988) (13)
- A Gamut of Game Theories (1978) (13)
- The Geometry of the Quantum Paradoxes (2002) (13)
- 26 Implies the Bimonster (2001) (12)
- A [45, 13] code with minimal distance 16 (1990) (12)
- Extreme Proofs I: The Irrationality of √2 (2013) (12)
- The Mathieu Group M 12 and Its Pseudogroup Extension M 13 (2005) (12)
- A Group to Classify Knots (1975) (11)
- The Golay Codes and The Mathieu Groups (1988) (11)
- Lattices with Few Distances (1991) (11)
- The antipode construction for sphere packings (1996) (11)
- Groups, Combinatorics & Geometry: Hyperbolic reflections for the Bimonster and 3 Fi 24 (1992) (10)
- A New Upper Bound for the Minimum of an Integral Lattice of Determinant One * (1990) (10)
- A Monster Lie Algebra (1984) (10)
- Mrs Perkins's quilt (1964) (10)
- Covering a sphere with congruent great-circle arcs (1964) (9)
- A Construction for the Smallest Fischer Group F22 (1973) (9)
- Quilts and T-Systems (1995) (9)
- Coverings, Lattices and Quantizers (1988) (8)
- Leech roots and Vinberg groups (1982) (8)
- Galois groups over function fields of positive characteristic (2008) (8)
- Geometry and the Imagination in Minneapolis (2018) (8)
- Symmetrically Bordered Surfaces (2010) (8)
- Sphere Packings, Lattices, Codes, and Greed (1995) (7)
- Sphere Packings and Kissing Numbers (1993) (7)
- Certain Important Lattices and Their Properties (1988) (7)
- Relations in SO (3 ) Supported by Geodetic Angles (2000) (7)
- On the covering multiplicity of lattices (1992) (5)
- The Surreals and the Reals (1994) (5)
- Prediction of Self-Assembly of Energetic Tiles and Dominos: Experiments, Mathematics and Software (2000) (4)
- The optimal isodual lattice quantizer in three dimensions (2007) (4)
- Game of Life (2015) (4)
- Effective implications between the "finite" choice axioms (1973) (4)
- Expect at Most One Billionth of a New Fermat Prime! (2016) (4)
- The Primary Pretenders (2002) (4)
- The Strong FreeWill Theorem (2008) (4)
- The Cellular Structure of the Leech Lattice (1993) (4)
- A Headache-Causing Problem (2020) (4)
- Voronoi Cells of Lattices and Quantization Errors (1988) (3)
- Surveys in Combinatorics, 1997: M 13 (1997) (3)
- Invariants for quadratic forms (1973) (3)
- The Atlas of Finite Groups - Ten Years on: Relations in M666 (1998) (3)
- Matrix generators for J3 (1974) (3)
- It s a Small (2018) (3)
- The Atlas of Finite Groups - Ten Years on: A brief history of the ATLAS (1998) (2)
- The antipode construction for sphere packings (1996) (2)
- Weighted Generating Functions and Configuration Results for Type II Lattices and Codes (2009) (2)
- Advanced Problems: 5320-5329 (1965) (2)
- The Weight Distribution of Cosets (1994) (2)
- Thou Shalt Not Clone One Bit! (2007) (2)
- The monster construction (1996) (1)
- Collatz Conjecture (2011) (1)
- The Sensual (Quadratic) Form: POSTSCRIPT : A Taste of Number Theory (1997) (1)
- 5. Frenicle’s 880 Magic Squares (2017) (1)
- Expect at Most One Billionth of a New Fermat Prime! (2017) (1)
- More on the Minimum Distance of Cyclic Codes (1)
- Algebraic Constructions for Lattices (1993) (1)
- Homogeneous ordered sets (1964) (1)
- Further Fruitfulness of Fractions (1996) (1)
- The Extra Fibonacci Series and the Empire State Building (2016) (1)
- From Hyperbolic Reflections to Finite Groups (1991) (1)
- On Games and Numbers (2001) (1)
- On Adler's "Conway-Kochen Twin Argument" (2006) (1)
- What Comes Next (1996) (1)
- The Romance of Numbers (1996) (1)
- Complex Numbers and 2-Dimensional Geometry (2003) (1)
- Codes, Designs and Groups (1988) (1)
- Some Harder Games and How to Make Them Easier (2018) (0)
- The Monster Group and its 196884-Dimensional Space (1988) (0)
- Imagining Imaginary Numbers (1996) (0)
- Numbers, Nimbers and Numberless Wonders (2018) (0)
- C O ] 3 1 Ju l 2 00 2 A Note on Optimal Unimodular Lattices (1998) (0)
- Why the Magic Theorems Work (2016) (0)
- Other Primefold Colorings (2016) (0)
- Some Transcendental Numbers (1996) (0)
- Automorphisms and Subrings of O (2003) (0)
- A Characterization of the Leech Lattice (1993) (0)
- Correction to: Neumbering (2018) (0)
- The Game of Life, by John Horton Conway (2019) (0)
- A Other Notations for the Plane and Spherical Groups (2016) (0)
- Finding the Closest Lattice Point (1993) (0)
- Erratum to: On Morley’s Trisector Theorem (2016) (0)
- The Free Will Theorem (Russian Version) (2018) (0)
- How to beat children at their own games (2003) (0)
- More Infinite Games (2002) (0)
- The Magical Genius Who Loved Games (2021) (0)
- Correction to: Neumbering (2018) (0)
- THE SECOND LECTURE: Can You Hear the Shape of a Lattice? (2014) (0)
- Finite Simple Groups: Thirty Years of the Atlas and Beyond Celebrating the Atlases and Honoring (2015) (0)
- The Sensual (Quadratic) Form: THE FIRST LECTURE : Can You See the Values of 3 x 2 + 6 xy − 5 y 2? (1997) (0)
- Elementary Problems: E2968-E2973 (1982) (0)
- THE FOURTH LECTURE: The Primary Fragrances (2014) (0)
- QuaternaryConstructionsfortheBinarySingle-Error-CorrectingCodes ofJulin,BestandOthers (1994) (0)
- Extreme Proofs I: The Irrationality of √2 (2013) (0)
- Errata: Low-Dimensional Lattices. III. Perfect Forms (1989) (0)
- The Octonion Projective Plane O P 2 (2003) (0)
- An Island Tale for Young Anthropologists (2017) (0)
- Groups, Combinatorics & Geometry: Y555 and all that (1992) (0)
- Y555and all that (1992) (0)
- Extending the Pascal Mysticum (2013) (0)
- The Hurwitz Integral Quaternions (2003) (0)
- Octonions and 8-Dimensional Geometry (2003) (0)
- three-dimensional lattices (2016) (0)
- The Composition Algebras (2003) (0)
- RSC: The Academies of Arts, Humanities and Sciences of Canada (2007) (0)
- The Primacy of Primes (1996) (0)
- THE THIRD LECTURE: … and Can You Feel Its Form? (2014) (0)
- Infinite and Infinitesimal Numbers (1996) (0)
- C O ] 2 0 Ju l 2 00 2 On the Existence of Similar Sublattices (1999) (0)
- Enumeration of Unimodular Lattices (1993) (0)
- Quaternions and 3-Dimensional Groups (2003) (0)
- Famous Families of Numbers (1996) (0)
- Geometric Problems and Algebraic Numbers (1996) (0)
- Index to the Mathematical Gazette (1977) (0)
- Reading O Mod 2 (2003) (0)
- The Extra Fibonacci Series and the Empire State Building (2016) (0)
- Taking and Breaking (2018) (0)
- The Game of Life , or just Life , is a one-person game that was created by the English mathematician (2019) (0)
- Standards of Excellence (1962) (0)
- Figures from Figures Doing Arithmetic and Algebra by Geometry (1996) (0)
- Enumeration of Extremal Self-Dual Lattices (1988) (0)
- Finding the Correct Number is Simplicity Itself (2018) (0)
- M ay 2 02 0 Presentations for tensor categories (2020) (0)
- Knotting Mathematics and Art : International Conference in Low Dimensional Topology and Mathematical Art (2007) (0)
- Recent Progress in Sphere (2002) (0)
- A Characterization of the Equilateral Triangles and Some Consequences (2014) (0)
- The Heat of Battle (2018) (0)
- THE GENUS OF A QUADRATIC FORM (2009) (0)

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## What Are John Horton Conway's Academic Contributions?

John Horton Conway is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

John Horton Conway has made the following academic contributions: