We are currently aware of approximately 7000 publications in which Magma or Cayley has played a part. Here we list a selection of 2918 of these publications (last updated in September 2021). We welcome corrections and additions — if you have a publication that you would like included, please email us with the details. More information about this list can be found here.

The tables below classify the publications citing Magma into specific areas and topics. You can also use the links at the top of the page to search for a publication by author or date.

The complete list of publications, classified by area, is available in PDF format. The list is also available sorted by author.

Mathematics
Area Topic Cites
Algebraic Geometry [pdf] Foundations [pdf] 2
Local Theory [pdf] 1
Cycles and Subschemes [pdf] 10
Families and Fibrations [pdf] 10
Birational Geometry [pdf] 8
Homology and Cohomology Theory [pdf] 9
Arithmetic and Diophantine Geometry [pdf] 61
Curves [pdf] 59
Surfaces and Higher Dimensional Varieties [pdf] 66
Abelian Varieties and Schemes [pdf] 10
Algebraic Groups [pdf] 18
Special Varieties [pdf] 15
Real Algebraic Geometry [pdf] 6
Computational Methods [pdf] 30
Algebraic Structures [pdf] Ordered Structures [pdf] 2
Algebras – Associative [pdf] Associative Algebras: General [pdf] 10
Modules and Ideals [pdf] 4
Representation Theory [pdf] 9
Orders and Arithmetic [pdf] 4
Division Rings and Semisimple Artin Rings [pdf] 1
Algebras from Standard Constructions [pdf] 17
Computational Methods [pdf] 12
Algebras – Non-Associative [pdf] Nonassociative Algebras: General [pdf] 7
Lie Algebras [pdf] 24
Quantum Groups [pdf] 6
Computational Methods [pdf] 6
Analysis [pdf] Analysis: General [pdf] 8
Riemann Surfaces [pdf] 18
Functions of Several Complex Variables [pdf] 3
Ordinary Differential Equations [pdf] 25
Partial Differential Equations [pdf] 5
Dynamical Systems [pdf] 19
Operator Algebras [pdf] 8
Category Theory [pdf] All Areas [pdf] 2
Combinatorics [pdf] Enumerative Combinatorics [pdf] 11
Designs and Configurations [pdf] 91
Graph Theory [pdf] 136
Extremal Combinatorics [pdf] 1
Algebraic Combinatorics [pdf] 33
Computational Methods [pdf] 11
Commutative Algebra [pdf] Commutative Algebra: General [pdf] 9
Invariant Theory [pdf] 52
Modules and Ideals [pdf] 4
Homological Methods [pdf] 10
Differential Algebra [pdf] 19
Computational Methods [pdf] 88
Field Theory [pdf] Field Theory: General [pdf] 5
Extensions and Galois Theory [pdf] 28
Semifields and Near-fields [pdf] 10
Computational Methods [pdf] 19
Geometry [pdf] Incidence Geometry [pdf] 22
Finite Geometry [pdf] 160
Real and Complex Geometry [pdf] 7
General Convexity [pdf] 1
Polytopes and Polyhedra [pdf] 14
Discrete Geometry [pdf] 11
Differential Geometry [pdf] 8
Group Theory [pdf] Permutation Groups [pdf] 56
Representation Theory [pdf] 146
Abstract Finite Groups [pdf] 174
Structure and Classification [pdf] 19
Special Aspects of Finite or Infinite Groups [pdf] 118
Linear Algebraic Groups [pdf] 57
Matrix Groups (not Linear Algebraic) [pdf] 24
Cohomology [pdf] 22
Loops, Quasigroups and Semigroups [pdf] 8
Computational Group Theory [pdf] 157
K-Theory [pdf] All Areas [pdf] 6
Linear Algebra [pdf] Linear Algebra and Matrices [pdf] 6
Computational Linear Algebra [pdf] 26
Mathematical Education [pdf] Computer-Assisted Learning [pdf] 5
Number Theory [pdf] Elementary Number Theory [pdf] 11
Primality and Factorisation [pdf] 6
Sequences and Sets [pdf] 16
Diophantine Equations [pdf] 86
Forms and Linear Algebraic Groups [pdf] 17
Discontinuous Groups and Automorphic Forms [pdf] 104
Arithmetic Algebraic Geometry [pdf] 233
Geometry of Numbers [pdf] 37
Probabilistic Theory [pdf] 1
Zeta and L-functions: Analytic Theory [pdf] 13
Additive and Multiplicative Number Theory [pdf] 7
Algebraic Number Theory [pdf] 91
Finite Fields [pdf] 30
Computational Methods [pdf] 131
Numerical Analysis [pdf] All Areas [pdf] 8
Probability and Statistics [pdf] Probability [pdf] 10
Statistics [pdf] 9
Topological and Lie Groups [pdf] Lie Groups [pdf] 4
Noncompact Transformation Groups [pdf] 1
Topology [pdf] General Topology [pdf] 3
Algebraic Topology [pdf] 14
Homology Theory [pdf] 13
Spectral Sequences [pdf] 2
Low-dimensional Topology [pdf] 46
Topological Manifolds [pdf] 3
Topological Groups [pdf] 1
Computational Topology [pdf] 1
Information, Communication, and Computation
Area Topic Cites
Coding Theory [pdf] Linear Codes: General [pdf] 59
Cyclic Codes [pdf] 37
Self-Dual Codes [pdf] 78
Algebraic Geometry Codes [pdf] 35
Combinatorial Codes [pdf] 65
Codes over Galois Rings [pdf] 15
Low-Density Parity Check Codes [pdf] 15
Lattice Codes [pdf] 10
Quantum Error-Correcting Codes [pdf] 23
Computational Methods [pdf] 6
Computer Science [pdf] Computer System Organization [pdf] 6
Software [pdf] 24
Theory of Computing [pdf] 17
Artificial Intelligence [pdf] 20
Computing Methodologies [pdf] 4
Symbolic and Computational Algebra [pdf] 20
Cryptography [pdf] Cryptography: General [pdf] 28
Block Ciphers [pdf] 22
Stream Ciphers [pdf] 15
Public Key Cryptography [pdf] 70
Curve-Based Cryptography [pdf] 83
Protocols [pdf] 11
Random Number Generators [pdf] 2
Computational Methods [pdf] 23
Information and Communication [pdf] Information [pdf] 8
Circuits and Networks [pdf] 6
Signal Processing [pdf] 4
Data Mining [pdf] 1
Physical and Social Sciences
Area Topic Cites
Biology [pdf] Mathematical Biology [pdf] 4
Chemistry [pdf] Chemistry [pdf] 13
Economics [pdf] Mathematical Economics [pdf] 3
Operations Research [pdf] Operations Research [pdf] 1
Mathematical Programming [pdf] 2
Physics [pdf] Mechanics [pdf] 3
Quantum Theory [pdf] 6
Quantum Computation [pdf] 23
Statistical Mechanics [pdf] 6
Relativity and Gravitation [pdf] 6
Geophysics [pdf] 2