swMATH ID: 537
Software Authors: Grayson, Daniel R.; Stillman, Michael E.; Eisenbud, David; http://www.math.uiuc.edu/Macaulay2/Contributors/
Description: Macaulay2 is a software system devoted to supporting research in algebraic geometry and commutative algebra, whose creation has been funded by the National Science Foundation since 1992. Macaulay2 includes core algorithms for computing Gröbner bases and graded or multi-graded free resolutions of modules over quotient rings of graded or multi-graded polynomial rings with a monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language with a powerful debugger supporting the creation of new classes of mathematical objects and the installation of methods for computing specifically with them. Macaulay2 can compute Betti numbers, Ext, cohomology of coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more. Computer algebra system (CAS).
Homepage: http://www.math.uiuc.edu/Macaulay2/
Keywords: orms; Computations; Algebraic geometry; Macaulay 2; CAS; orms; CAS; Computer algebra system
Related Software: SINGULAR; CoCoA; SageMath; Bertini; Magma; Maple; PHCpack; Normaliz; GitHub; Mathematica; Gfan; GAP; 4ti2; polymake; BoijSoederberg; OEIS; Risa/Asir; CoCoALib; Kan; alphaCertified
Cited in: 2,084 Documents
This software is also referenced in ORMS.
Further Publications: http://www.math.uiuc.edu/Macaulay2/Publications/
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Cited by 1,875 Authors

57 Sturmfels, Bernd
39 Eisenbud, David
37 Mirò-Roig, Rosa Maria
36 Schreyer, Frank-Olaf
28 Villarreal, Rafael Heraclio
26 Van Tuyl, Adam
25 Migliore, Juan Carlos
24 Nagel, Uwe
24 Raicu, Claudiu
24 Stillman, Michael Eugene
23 Leykin, Anton
22 Ottaviani, Giorgio Maria
21 Seceleanu, Alexandra
20 He, Yang-Hui Evariste
18 Francisco, Christopher A.
18 Hà, Huy Tài
17 Graf von Bothmer, Hans-Christian
17 Sam, Steven V.
17 Simis, Aron
17 Staglianò, Giovanni
17 Walther, Uli
16 Erman, Daniel
16 Hauenstein, Jonathan D.
16 McCullough, Jason
15 Dipasquale, Michael R.
15 Morey, Susan E.
15 Rodriguez, Jose Israel
15 Thomas, Rekha R.
14 Abo, Hirotachi
14 Greuel, Gert-Martin
14 Harbourne, Brian
14 Mafi, Amir
14 Peterson, Chris
14 Ranestad, Kristian
14 Sáenz de Cabezón Irigaray, Eduardo
14 Sottile, Frank
14 Vasconcelos, Wolmer V.
13 Katzman, Mordechai
13 Matusevich, Laura Felicia
13 Nguyen, Dang Hop
13 Schenck, Hal
13 Smith, Gregory G.
13 Suciu, Alexander I.
13 Weyman, Jerzy M.
12 Boij, Mats
12 Chiantini, Luca
12 Conca, Aldo
12 Decker, Wolfram
12 Helmer, Martin
12 Kahle, Thomas
12 Kleppe, Jan Oddvar
12 Krone, Robert
12 Mohammadi, Fatemeh
11 Bruns, Winfried
11 Busé, Laurent
11 Crupi, Marilena
11 Denham, Graham
11 Faridi, Sara
11 Hibi, Takayuki
11 Lin, Kuei-Nuan
11 Mezzetti, Emilia
11 Oeding, Luke
11 Swanson, Irena
11 Tohǎneanu, Ştefan O.
10 Ahn, Jeaman
10 Aluffi, Paolo
10 Berkesch Zamaere, Christine
10 Böhm, Janko
10 Böhning, Christian
10 Chardin, Marc
10 Cid-Ruiz, Yairon
10 Cook, David II
10 Gross, Elizabeth
10 Kummini, Manoj
10 Kwak, Sijong
10 Lundqvist, Samuel
10 Mantero, Paolo
10 Peeva, Irena V.
10 Selvaraja, S.
10 Sullivant, Seth
9 Galetto, Federico
9 Gray, James A.
9 Grifo, Eloísa
9 Hanany, Amihay
9 Jayanthan, A. V.
9 Macchia, Antonio
9 Maclagan, Diane
9 Nicklasson, Lisa
9 Papadakis, Stavros Argyrios
9 Pfister, Gerhard
9 Possieri, Corrado
9 Römer, Tim
9 Schwede, Karl E.
9 Shen, Yihuang
9 Sidman, Jessica
9 Tornambè, Antonio
9 Varbaro, Matteo
9 Vu, Thanh
8 Angelini, Elena
8 Botbol, Nicolás
...and 1,775 more Authors
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Cited in 296 Serials

188 Journal of Algebra
138 Journal of Pure and Applied Algebra
126 Journal of Symbolic Computation
60 Proceedings of the American Mathematical Society
58 The Journal of Software for Algebra and Geometry
52 Transactions of the American Mathematical Society
46 Communications in Algebra
45 Journal of High Energy Physics
42 Journal of Algebraic Combinatorics
36 Advances in Mathematics
33 Advances in Applied Mathematics
33 Journal of Commutative Algebra
30 Mathematische Zeitschrift
30 Linear Algebra and its Applications
27 Journal of Algebra and its Applications
23 Collectanea Mathematica
20 SIAM Journal on Applied Algebra and Geometry
19 Le Matematiche
19 Experimental Mathematics
18 Michigan Mathematical Journal
17 Mathematische Annalen
16 Archiv der Mathematik
16 Compositio Mathematica
16 International Journal of Algebra and Computation
16 Foundations of Computational Mathematics
14 Mathematics of Computation
14 Journal of Combinatorial Theory. Series A
13 Acta Mathematica Vietnamica
11 Communications in Mathematical Physics
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 IMRN. International Mathematics Research Notices
11 The Electronic Journal of Combinatorics
10 Bulletin of Mathematical Biology
10 Illinois Journal of Mathematics
10 Algebra & Number Theory
9 Discrete Mathematics
9 Canadian Journal of Mathematics
9 Journal für die Reine und Angewandte Mathematik
9 Manuscripta Mathematica
9 Computer Aided Geometric Design
9 Journal of Algebraic Geometry
9 Journal of the European Mathematical Society (JEMS)
8 Annales de l’Institut Fourier
8 Mathematica Scandinavica
8 Nagoya Mathematical Journal
8 SIAM Journal on Matrix Analysis and Applications
8 Applicable Algebra in Engineering, Communication and Computing
8 Documenta Mathematica
8 Mathematics in Computer Science
8 ACM Communications in Computer Algebra
8 Research in the Mathematical Sciences
7 Beiträge zur Algebra und Geometrie
7 Inventiones Mathematicae
7 Proceedings of the London Mathematical Society. Third Series
7 Finite Fields and their Applications
6 Israel Journal of Mathematics
6 Nuclear Physics. B
6 Geometriae Dedicata
6 Journal of the London Mathematical Society. Second Series
6 Mathematical Research Letters
6 Mediterranean Journal of Mathematics
6 Pure and Applied Mathematics Quarterly
6 Lecture Notes in Mathematics
6 European Journal of Mathematics
5 Linear and Multilinear Algebra
5 Annals of the Institute of Statistical Mathematics
5 Duke Mathematical Journal
5 Memoirs of the American Mathematical Society
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Discrete & Computational Geometry
5 Journal of the American Mathematical Society
5 Designs, Codes and Cryptography
5 Annals of Combinatorics
5 Advances in Geometry
5 Algorithms and Computation in Mathematics
5 Algebraic Combinatorics
4 Journal of Mathematical Biology
4 Rocky Mountain Journal of Mathematics
4 Journal of Geometry and Physics
4 European Journal of Combinatorics
4 Bulletin of the Korean Mathematical Society
4 Forum Mathematicum
4 International Journal of Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Mathematical Programming. Series A. Series B
4 The Australasian Journal of Combinatorics
4 Selecta Mathematica. New Series
4 Algebras and Representation Theory
4 Revista Matemática Complutense
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Oberwolfach Reports
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Advances in High Energy Physics
4 Kyoto Journal of Mathematics
3 Discrete Applied Mathematics
3 International Journal of Control
3 Letters in Mathematical Physics
3 Physics Letters. B
3 American Journal of Mathematics
3 The Annals of Statistics
...and 196 more Serials
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Cited in 54 Fields

1,197 Commutative algebra (13-XX)
1,105 Algebraic geometry (14-XX)
310 Combinatorics (05-XX)
227 Computer science (68-XX)
132 Convex and discrete geometry (52-XX)
125 Linear and multilinear algebra; matrix theory (15-XX)
106 Numerical analysis (65-XX)
96 Associative rings and algebras (16-XX)
92 Quantum theory (81-XX)
85 Several complex variables and analytic spaces (32-XX)
76 Group theory and generalizations (20-XX)
63 Statistics (62-XX)
53 Number theory (11-XX)
49 Biology and other natural sciences (92-XX)
45 Operations research, mathematical programming (90-XX)
45 Information and communication theory, circuits (94-XX)
41 Algebraic topology (55-XX)
35 Manifolds and cell complexes (57-XX)
33 Nonassociative rings and algebras (17-XX)
29 Category theory; homological algebra (18-XX)
28 Differential geometry (53-XX)
21 Special functions (33-XX)
21 Dynamical systems and ergodic theory (37-XX)
19 Field theory and polynomials (12-XX)
19 Geometry (51-XX)
18 Systems theory; control (93-XX)
17 Approximations and expansions (41-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 General and overarching topics; collections (00-XX)
15 Partial differential equations (35-XX)
15 Probability theory and stochastic processes (60-XX)
14 Relativity and gravitational theory (83-XX)
11 Ordinary differential equations (34-XX)
8 Mechanics of particles and systems (70-XX)
6 \(K\)-theory (19-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Topological groups, Lie groups (22-XX)
5 Functions of a complex variable (30-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 History and biography (01-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
3 General algebraic systems (08-XX)
3 Fluid mechanics (76-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mechanics of deformable solids (74-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Operator theory (47-XX)
1 Mathematics education (97-XX)

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