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Macaulay2

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; Mathematica; Normaliz; Gfan; GAP; GitHub; 4ti2; polymake; BoijSoederberg; Risa/Asir; CoCoALib; OEIS; Kan; D-modules
Cited in: 2,000 Publications
This software is also referenced in ORMS.
Further Publications: http://www.math.uiuc.edu/Macaulay2/Publications/
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Cited by 1,797 Authors

55 Sturmfels, Bernd
37 Eisenbud, David
35 Schreyer, Frank-Olaf
34 Mirò-Roig, Rosa Maria
27 Villarreal, Rafael Heraclio
25 Migliore, Juan Carlos
25 Van Tuyl, Adam
24 Nagel, Uwe
24 Raicu, Claudiu
23 Leykin, Anton
23 Stillman, Michael Eugene
22 Ottaviani, Giorgio Maria
20 He, Yang-Hui Evariste
19 Seceleanu, Alexandra
18 Francisco, Christopher A.
17 Graf von Bothmer, Hans-Christian
17 Hà, Huy Tài
17 Sam, Steven V.
17 Simis, Aron
17 Staglianò, Giovanni
17 Walther, Uli
16 Hauenstein, Jonathan D.
16 McCullough, Jason
15 Erman, Daniel
15 Morey, Susan E.
15 Rodriguez, Jose Israel
15 Thomas, Rekha R.
14 Abo, Hirotachi
14 Dipasquale, Michael R.
14 Greuel, Gert-Martin
14 Harbourne, Brian
14 Peterson, Chris
14 Ranestad, Kristian
14 Sáenz de Cabezón Irigaray, Eduardo
14 Vasconcelos, Wolmer V.
13 Katzman, Mordechai
13 Matusevich, Laura Felicia
13 Schenck, Hal
13 Sottile, Frank
13 Suciu, Alexander I.
13 Weyman, Jerzy M.
12 Boij, Mats
12 Decker, Wolfram
12 Krone, Robert
12 Nguyen, Dang Hop
12 Smith, Gregory G.
11 Chiantini, Luca
11 Conca, Aldo
11 Denham, Graham
11 Faridi, Sara
11 Helmer, Martin
11 Kahle, Thomas
11 Kleppe, Jan Oddvar
11 Mafi, Amir
11 Mohammadi, Fatemeh
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 Bruns, Winfried
10 Busé, Laurent
10 Chardin, Marc
10 Cook, David II
10 Gross, Elizabeth
10 Kwak, Sijong
10 Lin, Kuei-Nuan
10 Lundqvist, Samuel
10 Mantero, Paolo
10 Peeva, Irena V.
10 Sullivant, Seth
9 Cid-Ruiz, Yairon
9 Crupi, Marilena
9 Galetto, Federico
9 Gray, James A.
9 Grifo, Eloísa
9 Hibi, Takayuki
9 Kummini, Manoj
9 Maclagan, Diane
9 Mezzetti, Emilia
9 Pfister, Gerhard
9 Römer, Tim
9 Sidman, Jessica
9 Varbaro, Matteo
9 Vu, Thanh
8 Botbol, Nicolás
8 Brambilla, Maria Chiara
8 Chen, Justin
8 Eklund, David
8 González Sarabia, Manuel
8 Guardo, Elena
8 Hanany, Amihay
8 Hoşten, Serkan
8 Jayanthan, A. V.
8 Laubenbacher, Reinhard C.
8 Macchia, Antonio
8 Oneto, Alessandro
...and 1,697 more Authors
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Cited in 291 Serials

180 Journal of Algebra
135 Journal of Pure and Applied Algebra
122 Journal of Symbolic Computation
59 Proceedings of the American Mathematical Society
55 The Journal of Software for Algebra and Geometry
51 Transactions of the American Mathematical Society
41 Communications in Algebra
41 Journal of High Energy Physics
40 Journal of Algebraic Combinatorics
36 Advances in Mathematics
33 Advances in Applied Mathematics
31 Journal of Commutative Algebra
30 Linear Algebra and its Applications
29 Mathematische Zeitschrift
26 Journal of Algebra and its Applications
21 Collectanea Mathematica
19 Le Matematiche
19 Experimental Mathematics
18 Michigan Mathematical Journal
17 SIAM Journal on Applied Algebra and Geometry
16 Archiv der Mathematik
16 Compositio Mathematica
16 Mathematische Annalen
16 Foundations of Computational Mathematics
14 Journal of Combinatorial Theory. Series A
14 International Journal of Algebra and Computation
13 Acta Mathematica Vietnamica
11 Mathematics of Computation
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 IMRN. International Mathematics Research Notices
10 Communications in Mathematical Physics
10 Algebra & Number Theory
9 Bulletin of Mathematical Biology
9 Canadian Journal of Mathematics
9 Illinois Journal of Mathematics
9 Computer Aided Geometric Design
9 Journal of Algebraic Geometry
9 The Electronic Journal of Combinatorics
9 Journal of the European Mathematical Society (JEMS)
8 Discrete Mathematics
8 Annales de l’Institut Fourier
8 Journal für die Reine und Angewandte Mathematik
8 Manuscripta Mathematica
8 Mathematica Scandinavica
8 Nagoya Mathematical Journal
8 SIAM Journal on Matrix Analysis and Applications
8 Documenta Mathematica
8 Mathematics in Computer Science
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 Applicable Algebra in Engineering, Communication and Computing
7 Finite Fields and their Applications
7 ACM Communications in Computer Algebra
6 Nuclear Physics. B
6 Geometriae Dedicata
6 Journal of the London Mathematical Society. Second Series
6 Mathematical Research Letters
6 Pure and Applied Mathematics Quarterly
6 Lecture Notes in Mathematics
6 European Journal of Mathematics
5 Israel Journal of Mathematics
5 Annals of the Institute of Statistical Mathematics
5 Duke Mathematical Journal
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Journal of the American Mathematical Society
5 Designs, Codes and Cryptography
5 Annals of Combinatorics
5 Advances in Geometry
5 Mediterranean Journal of Mathematics
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 Memoirs of the American Mathematical Society
4 European Journal of Combinatorics
4 Discrete & Computational Geometry
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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Advances in High Energy Physics
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
3 Osaka Journal of Mathematics
3 Bulletin of the Korean Mathematical Society
3 SIAM Journal on Discrete Mathematics
3 SIAM Journal on Optimization
...and 191 more Serials
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Cited in 54 Fields

1,142 Commutative algebra (13-XX)
1,062 Algebraic geometry (14-XX)
290 Combinatorics (05-XX)
223 Computer science (68-XX)
127 Convex and discrete geometry (52-XX)
123 Linear and multilinear algebra; matrix theory (15-XX)
105 Numerical analysis (65-XX)
94 Associative rings and algebras (16-XX)
86 Quantum theory (81-XX)
83 Several complex variables and analytic spaces (32-XX)
74 Group theory and generalizations (20-XX)
58 Statistics (62-XX)
49 Number theory (11-XX)
48 Biology and other natural sciences (92-XX)
44 Operations research, mathematical programming (90-XX)
43 Information and communication theory, circuits (94-XX)
40 Algebraic topology (55-XX)
35 Manifolds and cell complexes (57-XX)
32 Nonassociative rings and algebras (17-XX)
29 Category theory; homological algebra (18-XX)
26 Differential geometry (53-XX)
21 Dynamical systems and ergodic theory (37-XX)
19 Special functions (33-XX)
19 Geometry (51-XX)
17 Field theory and polynomials (12-XX)
17 Systems theory; control (93-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Approximations and expansions (41-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Relativity and gravitational theory (83-XX)
14 General and overarching topics; collections (00-XX)
14 Partial differential equations (35-XX)
14 Probability theory and stochastic processes (60-XX)
10 Ordinary differential equations (34-XX)
8 Mechanics of particles and systems (70-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 \(K\)-theory (19-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 Real functions (26-XX)
4 Functional analysis (46-XX)
3 History and biography (01-XX)
3 General algebraic systems (08-XX)
3 Fluid mechanics (76-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mechanics of deformable solids (74-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-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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