Magma

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 over 2000 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

Area Topic Count
Combinatorics (PDF) Enumerative Combinatorics (PDF) 5
Designs and Configurations (PDF) 51
Graph Theory (PDF) 66
Extremal Combinatorics (PDF) 1
Algebraic Combinatorics (PDF) 11
Computational Methods (PDF) 5
Number Theory (PDF) Elementary Number Theory (PDF) 8
Primality and Factorisation (PDF) 6
Sequences and Sets (PDF) 8
Diophantine Equations (PDF) 37
Forms and Linear Algebraic Groups (PDF) 9
Discontinuous Groups and Automorphic Forms (PDF) 54
Arithmetic Algebraic Geometry (PDF) 132
Geometry of Numbers (PDF) 25
Zeta and L-functions: Analytic Theory (PDF) 4
Algebraic Number Theory (PDF) 35
Finite Fields (PDF) 12
Computational Number Theory (PDF) 60
Field Theory (PDF) General Field Theory (PDF) 6
Extensions and Galois Theory (PDF) 19
Homological Methods and Galois Cohomology (PDF) 2
Differential Algebra (PDF) 9
Computational Methods (PDF) 14
Commutative Algebra (PDF) General Commutative Ring Theory (PDF) 5
Invariant Theory (PDF) 43
Ring Extensions (PDF) 2
Modules and Ideals (PDF) 3
Homological Methods (PDF) 9
Arithmetic Rings (PDF) 4
Computational Methods (PDF) 46
Algebraic Geometry (PDF) Foundations (PDF) 1
Local Theory (PDF) 1
Cycles and Subschemes (PDF) 10
Birational Geometry (PDF) 4
Homology and Cohomology Theory (PDF) 8
Arithmetic and Diophantine Geometry (PDF) 42
Curves (PDF) 32
Surfaces and Higher Dimensional Varieties (PDF) 32
Abelian Varieties and Schemes (PDF) 6
Algebraic Groups (PDF) 8
Special Varieties (PDF) 10
Real Algebraic Geometry (PDF) 3
Computational Methods (PDF) 18
Linear Algebra (PDF) Matrix Theory (PDF) 4
Computational Methods over Fields (PDF) 6
Computational Methods over PIDs (PDF) 10
Associative Rings and Algebras (PDF) Representation Theory (PDF) 6
Orders and Arithmetic (PDF) 2
Algebras from Standard Constructions (PDF) 15
Algebras with Additional Structure (PDF) 2
Computational Methods (PDF) 4
Non-Associative Algebras (PDF) General Nonassociative Rings (PDF) 3
Lie Algebras (PDF) 15
Quantum Groups (PDF) 4
Computational Methods (PDF) 3
K-Theory (PDF) 5
Group Theory (PDF) Permutation Groups (PDF) 23
Representation Theory (PDF) 77
Abstract Finite Groups (PDF) 78
Structure and Classification (PDF) 7
Special Aspects of Finite or Infinite Groups (PDF) 48
Linear Algebraic Groups (PDF) 31
Matrix Groups (not Linear Algebraic) (PDF) 14
Cohomology (PDF) 23
Loops, Quasigroups and Semigroups (PDF) 3
Computational Group Theory (PDF) 110
Topological and Lie Groups (PDF) Lie Groups (PDF) 8
Noncompact Transformation Groups (PDF) 1
Real Functions (PDF) General (PDF) 1
Functions of a Complex Variable (PDF) Riemann Surfaces (PDF) 7
Special Functions (PDF) Hypergeometric Functions (PDF) 3
Ordinary Differential Equations (PDF) 15
Partial Differential Equations (PDF) 3
Dynamical Systems (PDF) 10
Approximations and Expansions (PDF) General Approximations (PDF) 1
Fourier Analysis (PDF) 2
Functional Analysis (PDF) Operator Algebras (PDF) 3
Geometry (PDF) Incidence Geometry (PDF) 9
Finite Geometry (PDF) 100
Real and Complex Geometry (PDF) 5
Convex and Discrete Geometry (PDF) General Convexity (PDF) 1
Polytopes and Polyhedra (PDF) 9
Discrete Geometry (PDF) 7
Differential Geometry (PDF) 3
Algebraic Topology (PDF) 17
Topology (PDF) Low-dimensional Topology (PDF) 26
Topological Manifolds (PDF) 2
Topological Groups (PDF) 1
Global Analysis (PDF) 1
Probability (PDF) 8
Statistics (PDF) 4
Numerical Analysis (PDF) 6
Computer Science (PDF) Computer System Organization (PDF) 3
Software (PDF) 23
Theory of Computing (PDF) 11
Artificial Intelligence (PDF) 14
Computing Methodologies (PDF) 3
Symbolic and Computational Algebra (PDF) 11
Mechanics (PDF) Dynamics of a System of Particles (PDF) 1
Quantum Theory (PDF) General (PDF) 5
Quantum Computation (PDF) 16
Statistical Mechanics (PDF) 5
Relativity and Gravitation (PDF) 3
Geophysics (PDF) 2
Operations Research (PDF) Operations Research (PDF) 1
Mathematical Programming (PDF) 2
Economics and Social Science (PDF) Mathematical Economics (PDF) 3
Natural Sciences (PDF) Mathematical Biology (PDF) 2
Chemistry (PDF) 7
Information and Communication (PDF) Information (PDF) 6
Cryptography (PDF) 122
Classical Error-Correcting Codes (PDF) 174
Quantum Error-Correcting Codes (PDF) 17
Circuits and Networks (PDF) 4
Signal Processing (PDF) 1

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