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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; PHCpack; GitHub; Maple; Normaliz; Mathematica; polymake; GAP; Gfan; 4ti2; HomotopyContinuation; BoijSoederberg; OEIS; Book3264Examples; Risa/Asir; alphaCertified
Cited in: 2,320 Documents
This software is also referenced in ORMS.
Further Publications: http://www.math.uiuc.edu/Macaulay2/Publications/
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Cited by 2,101 Authors

73 Sturmfels, Bernd
40 Eisenbud, David
39 Mirò-Roig, Rosa Maria
37 Schreyer, Frank-Olaf
29 Van Tuyl, Adam
29 Villarreal, Rafael Heraclio
26 Raicu, Claudiu
26 Stillman, Michael Eugene
25 Leykin, Anton
25 Migliore, Juan Carlos
24 Nagel, Uwe
24 Ottaviani, Giorgio Maria
23 He, Yang-Hui Evariste
21 Seceleanu, Alexandra
18 Francisco, Christopher A.
18 Graf von Bothmer, Hans-Christian
18 Hà, Huy Tài
18 McCullough, Jason
18 Morey, Susan E.
18 Rodriguez, Jose Israel
18 Simis, Aron
18 Staglianò, Giovanni
17 Erman, Daniel
17 Hauenstein, Jonathan D.
17 Sam, Steven V.
17 Sottile, Frank
17 Thomas, Rekha R.
17 Walther, Uli
16 Crupi, Marilena
16 Dipasquale, Michael R.
16 Mohammadi, Fatemeh
16 Ranestad, Kristian
16 Sáenz de Cabezón Irigaray, Eduardo
16 Schenck, Hal
15 Nguyen, Dang Hop
15 Vasconcelos, Wolmer V.
15 Weyman, Jerzy M.
14 Abo, Hirotachi
14 Cid-Ruiz, Yairon
14 Conca, Aldo
14 Faridi, Sara
14 Greuel, Gert-Martin
14 Harbourne, Brian
14 Helmer, Martin
14 Mafi, Amir
14 Peterson, Chris
14 Smith, Gregory G.
13 Chiantini, Luca
13 Katzman, Mordechai
13 Krone, Robert
13 Lin, Kuei-Nuan
13 Matusevich, Laura Felicia
13 Oeding, Luke
13 Suciu, Alexander I.
12 Boij, Mats
12 Decker, Wolfram
12 Denham, Graham
12 Ficarra, Antonino
12 Kahle, Thomas
12 Kleppe, Jan Oddvar
12 Lundqvist, Samuel
12 Peeva, Irena V.
12 Swanson, Irena
11 Böhning, Christian
11 Bruns, Winfried
11 Busé, Laurent
11 Galetto, Federico
11 Gross, Elizabeth
11 Hibi, Takayuki
11 Kwak, Sijong
11 Mantero, Paolo
11 Mezzetti, Emilia
11 Nicklasson, Lisa
11 Schwede, Karl E.
11 Wynn, Henry P.
10 Ahn, Jeaman
10 Aluffi, Paolo
10 Berkesch Zamaere, Christine
10 Böhm, Janko
10 Chardin, Marc
10 Cook, David II
10 Duff, Timothy
10 Jayanthan, A. V.
10 Kummini, Manoj
10 Selvaraja, S.
10 Shen, Yihuang
10 Sullivant, Seth
9 Amata, Luca
9 Angelini, Elena
9 El Khoury, Sabine
9 Faenzi, Daniele
9 Gray, James A.
9 Grifo, Eloísa
9 Hanany, Amihay
9 Hoşten, Serkan
9 Macchia, Antonio
9 Maclagan, Diane
9 Murai, Satoshi
9 Papadakis, Stavros Argyrios
9 Pfister, Gerhard
...and 2,001 more Authors
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Cited in 323 Serials

200 Journal of Algebra
146 Journal of Pure and Applied Algebra
138 Journal of Symbolic Computation
65 Proceedings of the American Mathematical Society
64 The Journal of Software for Algebra and Geometry
55 Communications in Algebra
52 Transactions of the American Mathematical Society
52 Journal of High Energy Physics
46 Journal of Algebraic Combinatorics
38 Advances in Mathematics
38 Journal of Commutative Algebra
36 Advances in Applied Mathematics
33 Mathematische Zeitschrift
32 Journal of Algebra and its Applications
31 Linear Algebra and its Applications
26 Collectanea Mathematica
22 Foundations of Computational Mathematics
22 SIAM Journal on Applied Algebra and Geometry
21 Michigan Mathematical Journal
19 Le Matematiche
19 Mathematische Annalen
19 Experimental Mathematics
17 International Journal of Algebra and Computation
16 Archiv der Mathematik
16 Compositio Mathematica
15 Mathematics of Computation
15 Acta Mathematica Vietnamica
14 Journal of Combinatorial Theory. Series A
14 IMRN. International Mathematics Research Notices
14 The Electronic Journal of Combinatorics
13 Manuscripta Mathematica
12 Journal für die Reine und Angewandte Mathematik
11 Communications in Mathematical Physics
11 Bulletin of Mathematical Biology
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 ACM Communications in Computer Algebra
10 Illinois Journal of Mathematics
10 Journal of the London Mathematical Society. Second Series
10 Journal of the European Mathematical Society (JEMS)
10 Algebra & Number Theory
9 Discrete Mathematics
9 Canadian Journal of Mathematics
9 Mathematica Scandinavica
9 Computer Aided Geometric Design
9 SIAM Journal on Matrix Analysis and Applications
9 Journal of Algebraic Geometry
9 Mediterranean Journal of Mathematics
9 Mathematics in Computer Science
9 Research in the Mathematical Sciences
8 Beiträge zur Algebra und Geometrie
8 Annales de l’Institut Fourier
8 Inventiones Mathematicae
8 Nagoya Mathematical Journal
8 Proceedings of the London Mathematical Society. Third Series
8 Applicable Algebra in Engineering, Communication and Computing
8 Documenta Mathematica
8 Forum of Mathematics, Sigma
8 European Journal of Mathematics
8 Algebraic Combinatorics
7 Finite Fields and their Applications
7 São Paulo Journal of Mathematical Sciences
6 Israel Journal of Mathematics
6 Nuclear Physics. B
6 Annals of the Institute of Statistical Mathematics
6 Geometriae Dedicata
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Discrete & Computational Geometry
6 Designs, Codes and Cryptography
6 Mathematical Research Letters
6 Pure and Applied Mathematics Quarterly
6 Lecture Notes in Mathematics
6 Transactions of the American Mathematical Society. Series B
5 Linear and Multilinear Algebra
5 Rocky Mountain Journal of Mathematics
5 Journal of Geometry and Physics
5 Duke Mathematical Journal
5 Memoirs of the American Mathematical Society
5 European Journal of Combinatorics
5 Journal of the American Mathematical Society
5 Selecta Mathematica. New Series
5 Algebras and Representation Theory
5 Annals of Combinatorics
5 Advances in Geometry
5 Oberwolfach Reports
5 Algorithms and Computation in Mathematics
4 Journal of Mathematical Biology
4 Letters in Mathematical Physics
4 Physics Letters. B
4 Mathematische Nachrichten
4 Osaka Journal of Mathematics
4 Bulletin of the Korean Mathematical Society
4 SIAM Journal on Discrete Mathematics
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 Revista Matemática Complutense
4 Communications in Contemporary Mathematics
4 SIAM Journal on Applied Dynamical Systems
...and 223 more Serials
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Cited in 53 Fields

1,326 Commutative algebra (13-XX)
1,224 Algebraic geometry (14-XX)
365 Combinatorics (05-XX)
247 Computer science (68-XX)
146 Convex and discrete geometry (52-XX)
138 Linear and multilinear algebra; matrix theory (15-XX)
115 Numerical analysis (65-XX)
109 Quantum theory (81-XX)
106 Associative rings and algebras (16-XX)
97 Several complex variables and analytic spaces (32-XX)
89 Group theory and generalizations (20-XX)
74 Statistics (62-XX)
60 Number theory (11-XX)
55 Biology and other natural sciences (92-XX)
54 Operations research, mathematical programming (90-XX)
52 Information and communication theory, circuits (94-XX)
44 Algebraic topology (55-XX)
39 Nonassociative rings and algebras (17-XX)
36 Manifolds and cell complexes (57-XX)
32 Category theory; homological algebra (18-XX)
30 Differential geometry (53-XX)
24 Special functions (33-XX)
24 Dynamical systems and ergodic theory (37-XX)
21 Field theory and polynomials (12-XX)
21 Geometry (51-XX)
21 Systems theory; control (93-XX)
20 Approximations and expansions (41-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
18 Probability theory and stochastic processes (60-XX)
18 Relativity and gravitational theory (83-XX)
17 General and overarching topics; collections (00-XX)
17 Partial differential equations (35-XX)
16 Global analysis, analysis on manifolds (58-XX)
12 Ordinary differential equations (34-XX)
8 Topological groups, Lie groups (22-XX)
8 Mechanics of particles and systems (70-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 \(K\)-theory (19-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Functions of a complex variable (30-XX)
4 History and biography (01-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
3 General algebraic systems (08-XX)
3 Mechanics of deformable solids (74-XX)
3 Fluid mechanics (76-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Operator theory (47-XX)
1 Mathematics education (97-XX)

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