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MAGMA Computational Algebra System

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Published Research Citing Magma

Related links:   How to cite Magma   Top 50 authors   About the publications

We are currently aware of approximately 3000 publications about research in which Magma or Cayley have played a role; details of these publications are available below. We welcome corrections and additions -- if you have an appropriate publication not included in the current list, please email us with the publication details. (However, please first check whether it is already in the complete list.) More information about these lists can be found here.

A list of the authors with the most publications in our database is available here.

The table below contains HTML and PDF versions of files that list the publications citing Magma, classified into specific areas and topics. There are also two combined PDF files available: The first contains all publications in the table, sorted into area and topic; the second additionally contains publications citing Cayley, and is presented in alphabetical order by first author.

Complete publication lists (PDF only):  By Area   By Authors

Mathematics

Area Topic Count
Algebraic Geometry (PDF) Foundations (PDF) 3
Local Theory (PDF) 1
Cycles and Subschemes (PDF) 10
Birational Geometry (PDF) 8
Homology and Cohomology Theory (PDF) 9
Arithmetic and Diophantine Geometry (PDF) 64
Curves (PDF) 49
Surfaces and Higher Dimensional Varieties (PDF) 50
Abelian Varieties and Schemes (PDF) 9
Algebraic Groups (PDF) 14
Special Varieties (PDF) 13
Real Algebraic Geometry (PDF) 5
Computational Methods (PDF) 28
Algebraic Structures (PDF) Ordered Structures (PDF) 2
Algebras -- Associative (PDF) Associative Algebras: General (PDF) 6
Modules and Ideals (PDF) 2
Representation Theory (PDF) 10
Orders and Arithmetic (PDF) 4
Division Rings and Semisimple Artin Rings (PDF) 1
Algebras from Standard Constructions (PDF) 15
Computational Methods (PDF) 9
Algebras -- Non-Associative (PDF) Nonassociative Algebras: General (PDF) 6
Lie Algebras (PDF) 25
Quantum Groups (PDF) 1
Computational Methods (PDF) 6
Analysis (PDF) Analysis: General (PDF) 6
Riemann Surfaces (PDF) 10
Ordinary Differential Equations (PDF) 17
Partial Differential Equations (PDF) 4
Dynamical Systems (PDF) 17
Operator Algebras (PDF) 6
Category Theory (PDF) 1
Combinatorics (PDF) Enumerative Combinatorics (PDF) 8
Designs and Configurations (PDF) 70
Graph Theory (PDF) 103
Extremal Combinatorics (PDF) 1
Algebraic Combinatorics (PDF) 21
Computational Methods (PDF) 11
Commutative Algebra (PDF) Commutative Algebra: General (PDF) 9
Invariant Theory (PDF) 49
Modules and Ideals (PDF) 4
Homological Methods (PDF) 10
Differential Algebra (PDF) 13
Computational Methods (PDF) 81
Field Theory (PDF) Field Theory: General (PDF) 5
Extensions and Galois Theory (PDF) 25
Semifields and Near-fields (PDF) 9
Computational Methods (PDF) 16
Geometry (PDF) Incidence Geometry (PDF) 15
Finite Geometry (PDF) 123
Real and Complex Geometry (PDF) 6
General Convexity (PDF) 1
Polytopes and Polyhedra (PDF) 12
Discrete Geometry (PDF) 10
Differential Geometry (PDF) 6
Group Theory (PDF) Permutation Groups (PDF) 34
Representation Theory (PDF) 120
Abstract Finite Groups (PDF) 115
Structure and Classification (PDF) 9
Special Aspects of Finite or Infinite Groups (PDF) 79
Linear Algebraic Groups (PDF) 47
Matrix Groups (not Linear Algebraic) (PDF) 18
Cohomology (PDF) 21
Loops, Quasigroups and Semigroups (PDF) 7
Computational Group Theory (PDF) 131
K-Theory (PDF) 5
Linear Algebra (PDF) Linear Algebra and Matrices (PDF) 6
Computational Linear Algebra (PDF) 24
Mathematical Education (PDF) Computer-Assisted Learning (PDF) 5
Number Theory (PDF) Elementary Number Theory (PDF) 10
Primality and Factorisation (PDF) 5
Sequences and Sets (PDF) 11
Diophantine Equations (PDF) 69
Forms and Linear Algebraic Groups (PDF) 12
Discontinuous Groups and Automorphic Forms (PDF) 79
Arithmetic Algebraic Geometry (PDF) 188
Geometry of Numbers (PDF) 32
Probabilistic Theory (PDF) 1
Zeta and L-functions: Analytic Theory (PDF) 10
Multiplicative Number Theory (PDF) 2
Algebraic Number Theory (PDF) 70
Finite Fields (PDF) 27
Computational Methods (PDF) 105
Numerical Analysis (PDF) 8
Probability and Statistics (PDF) Probability (PDF) 9
Statistics (PDF) 7
Topological and Lie Groups (PDF) Lie Groups (PDF) 3
Noncompact Transformation Groups (PDF) 1
Topology (PDF) General Topology (PDF) 2
Algebraic Topology (PDF) 11
Homology Theory (PDF) 12
Spectral Sequences (PDF) 1
Low-dimensional Topology (PDF) 37
Topological Manifolds (PDF) 2
Topological Groups (PDF) 1
Computational Topology (PDF) 1

Information, Communication, and Computation

Area Topic Count
Coding Theory (PDF) Linear Codes: General (PDF) 56
Cyclic Codes (PDF) 37
Self-Dual Codes (PDF) 77
Algebraic Geometry Codes (PDF) 34
Combinatorial Codes (PDF) 58
Codes over Galois Rings (PDF) 13
Low-Density Parity Check Codes (PDF) 15
Lattice Codes (PDF) 9
Quantum Error-Correcting Codes (PDF) 22
Computational Methods (PDF) 6
Computer Science (PDF) Computer System Organization (PDF) 5
Software (PDF) 23
Theory of Computing (PDF) 12
Artificial Intelligence (PDF) 19
Computing Methodologies (PDF) 4
Symbolic and Computational Algebra (PDF) 17
Cryptography (PDF) Cryptography: General (PDF) 29
Block Ciphers (PDF) 18
Stream Ciphers (PDF) 14
Public Key Cryptography (PDF) 59
Curve-Based Cryptography (PDF) 80
Protocols (PDF) 10
Random Number Generators (PDF) 2
Computational Methods (PDF) 24
Information and Communication (PDF) Information (PDF) 7
Circuits and Networks (PDF) 4
Signal Processing (PDF) 2
Data Mining (PDF) 1

Physical and Social Sciences

Area Topic Count
Biology (PDF) Mathematical Biology (PDF) 3
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) 2
Quantum Theory (PDF) 6
Quantum Computation (PDF) 19
Statistical Mechanics (PDF) 5
Relativity and Gravitation (PDF) 4
Geophysics (PDF) 2

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