David A. Cox - Author Profile

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Cox, David A.

Author ID:	cox.david-a
Published as:	Cox, David A.; Cox, David
Homepage:	http://www3.amherst.edu/~dacox/
External Links:	MGP · Wikidata · GND · IdRef · theses.fr

Documents Indexed:	101 Publications since 1976, including 18 Books and 3 Additional arXiv Preprints
	4 Contributions as Editor · 3 Further Contributions
Co-Authors:	73 Co-Authors with 56 Joint Publications
	1,873 Co-Co-Authors

all top 5

Co-Authors

46	single-authored
7	Little, John Brittain
7	O’Shea, Donal B.
6	Dickenstein, Alicia M.
5	Schenck, Hal
4	D’Andrea, Carlos
3	Materov, Evgeny N.
3	Parry, Walter R.
2	Chen, Falai
2	Donagi, Ron Y.
2	Erskine, Andrew
2	Katz, Sheldon
2	Sederberg, Thomas W.
2	Sidman, Jessica
1	Abrevaya, Germán
1	Agrawal, Dakshi
1	Aravkin, Aleksandr Y.
1	Bashmakova, Izabella Grigor’evna
1	Batyrev, Victor V.
1	Bendel, Chris
1	Bird, Sheila M.
1	Busé, Laurent
1	Callahan, James J.
1	Cattani, Eduardo H.
1	Cecchi, Guillermo A.
1	Chionh, Eng-Wee
1	Clarke, Patrick
1	Cortadellas Benítez, Teresa
1	Curtiss, Howard C. jun.
1	Dawson, Silvina Ponce
1	Dowell, Earl H.
1	Dumas, Guillaume
1	Edwards, Harold Mortimer jun.
1	Edwards, John W.
1	Esnault, Hélène
1	Farewell, Vern T.
1	Gagnon-Audet, Jean-Christophe
1	Goldman, Ronald N.
1	Goldstein, Harvey
1	Green, Mark Lee
1	Haase, Christian Alexander
1	Hain, Richard M.
1	Hall, Kenneth C.
1	Harris, Michael Howard
1	Hasemeyer, Christian
1	Hauenstein, Jonathan D.
1	Hibi, Takayuki
1	Higashitani, Akihiro
1	Hoffman, Jerome William
1	Hoffman, Kenneth
1	Holt, Tim
1	Hyde, Trevor
1	Iarrobino, Anthony A.
1	Ji, Lizhen
1	Joshua, Roy
1	Kozloski, James R.
1	Krasauskas, Rimvydas
1	Kunz, Ernst
1	Kustin, Andrew R.
1	Lajoie, Guillaume
1	Lee, Yuan-Pin
1	Lin, Kuei-Nuan
1	Lipsett, Roger
1	Liu, Yang
1	Ma’u, Sione
1	Mcgiffen, T.
1	McKay, John
1	Mustaţă, Mircea
1	Pérez-Díaz, Sonia
1	Peters, David A.
1	Pevtsova, Julia
1	Polini, Claudia
1	Pollatsek, Harriet S.
1	Polosecki, Pablo
1	Richardson, Thomas J.
1	Rish, Irina
1	Saito, Masa-Hiko
1	Saper, Leslie
1	Scanlan, Robert H.
1	Schicho, Josef
1	Sendra, Juan Rafael
1	Senechal, Lester
1	Shurman, Jerry
1	Simiu, Emil
1	Sisto, Fernando
1	Smirnova, Galina Sergeevna
1	Smith, Peter C.
1	Sosa, Gabriel
1	Stevenhagen, Peter
1	Strganac, Thomas W.
1	Sturmfels, Bernd
1	Tu, Loring W.
1	Ulrich, Bernd
1	Urbanke, Rüdiger L.
1	von Renesse, Christine
1	Wang, Haohao
1	Zhang, Ming
1	Zheng, Jianmin
1	Zheng, Peng
1	Zucker, Steven Mark

all top 5

Serials

6	Proceedings of the American Mathematical Society
4	American Mathematical Monthly
4	Compositio Mathematica
4	Journal of Pure and Applied Algebra
4	Undergraduate Texts in Mathematics
3	Pacific Journal of Mathematics
2	Duke Mathematical Journal
2	Inventiones Mathematicae
2	Mathematica Scandinavica
2	Tôhoku Mathematical Journal. Second Series
2	Computer Aided Geometric Design
2	Journal of Symbolic Computation
2	Notices of the American Mathematical Society
2	Journal of Algebraic Geometry
2	Graduate Texts in Mathematics
2	Pure and Applied Mathematics. A Wiley Series of Texts, Monographs, and Tracts
2	Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
1	IEEE Transactions on Information Theory
1	Arkiv för Matematik
1	Mathematics of Computation
1	Advances in Mathematics
1	American Journal of Mathematics
1	Ars Combinatoria
1	Bulletin of the London Mathematical Society
1	Gazette des Mathématiciens
1	Illinois Journal of Mathematics
1	Journal of Algebra
1	Journal of Number Theory
1	Journal für die Reine und Angewandte Mathematik
1	Mathematische Annalen
1	Mathematische Zeitschrift
1	Memoirs of the American Mathematical Society
1	Normat
1	Theoretical Computer Science
1	Neural Computation
1	L’Enseignement Mathématique. 2e Série
1	The Electronic Journal of Combinatorics
1	Journal of the Royal Statistical Society. Series A. Statistics in Society
1	La Gaceta de la Real Sociedad Matemática Española
1	Journal of Algebra and its Applications
1	Oberwolfach Reports
1	The Dolciani Mathematical Expositions
1	Graduate Studies in Mathematics
1	Mathematical Surveys and Monographs
1	Proceedings of Symposia in Applied Mathematics
1	Solid Mechanics and Its Applications
1	University Lecture Series
1	Algebra & Number Theory
1	Involve
1	Symmetry
1	Communications in Mathematics and Statistics
1	CBMS Regional Conference Series in Mathematics
1	AMS Chelsea Publishing

all top 5

Fields

71	Algebraic geometry (14-XX)
33	Commutative algebra (13-XX)
16	Number theory (11-XX)
12	Computer science (68-XX)
10	Several complex variables and analytic spaces (32-XX)
9	History and biography (01-XX)
8	General and overarching topics; collections (00-XX)
7	Numerical analysis (65-XX)
4	Field theory and polynomials (12-XX)
4	Convex and discrete geometry (52-XX)
3	Group theory and generalizations (20-XX)
3	Algebraic topology (55-XX)
3	Biology and other natural sciences (92-XX)
2	Combinatorics (05-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Associative rings and algebras (16-XX)
2	Category theory; homological algebra (18-XX)
2	Special functions (33-XX)
2	Geometry (51-XX)
2	Statistics (62-XX)
2	Information and communication theory, circuits (94-XX)
1	\(K\)-theory (19-XX)
1	Real functions (26-XX)
1	Functions of a complex variable (30-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Differential geometry (53-XX)
1	Manifolds and cell complexes (57-XX)
1	Mechanics of deformable solids (74-XX)
1	Fluid mechanics (76-XX)
1	Quantum theory (81-XX)
1	Operations research, mathematical programming (90-XX)
1	Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

89 Publications have been cited 5,436 times in 4,573 Documents	Cited by ▼	Year ▼
Toric varieties. Zbl 1223.14001 Cox, David A.; Little, John B.; Schenck, Henry K.	943	2011
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001 Cox, David; Little, John; O’Shea, Donal	554	2007
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017 Cox, David; Little, John; O’Shea, Donal	506	1992
Using algebraic geometry. Zbl 0920.13026 Cox, David; Little, John; O’Shea, Donal	387	1998
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001 Cox, David A.; Little, John; O’Shea, Donal	349	2015
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032 Cox, David A.	345	1995
Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001 Cox, David A.	310	1989
Using algebraic geometry. 2nd ed. Zbl 1079.13017 Cox, David A.; Little, John; O’Shea, Donal	308	2005
Mirror symmetry and algebraic geometry. Zbl 0951.14026 Cox, David A.; Katz, Sheldon	305	1999
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012 Cox, David; Little, John; O’Shea, Donal	174	1996
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002 Cox, David A.	139	2013
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021 Batyrev, Victor V.; Cox, David A.	95	1994
The moving line ideal basis of planar rational curves. Zbl 0908.68174 Cox, David A.; Sederberg, Thomas W.; Chen, Falai	87	1998
Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066 Busé, Laurent; Cox, David; D’Andrea, Carlos	48	2003
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124 Cox, David; Goldman, Ronald; Zhang, Ming	47	2000
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004 Cox, David A.; Zucker, Steven	45	1979
The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054 Chen, Falai; Cox, David; Liu, Yang	44	2005
The arithmetic-geometric mean of Gauss. Zbl 0583.33002 Cox, David A.	39	1984
A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001 Clark, Robert; Cox, David; Curtiss, H. C. jun.; Edwards, John W.; Hall, Kenneth C.; Peters, David A.; Scanlan, Robert; Simiu, Emil; Sisto, Fernando; Strganac, Thomas W.	37	2004
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174 Cox, David A.	35	2001
Syzygies and the Rees algebra. Zbl 1151.13012 Cox, David; Hoffman, J. William; Wang, Haohao	33	2008
Recent developments in toric geometry. Zbl 0899.14025 Cox, David A.	31	1997
The functor of a smooth toric variety. Zbl 0828.14035 Cox, David A.	31	1995
Galois theory. 2nd ed. Zbl 1247.12006 Cox, David A.	31	2012
Toric residues. Zbl 0904.14029 Cox, David A.	23	1996
The moving curve ideal and the Rees algebra. Zbl 1170.13004 Cox, David A.	23	2008
A study of singularities on rational curves via syzygies. Zbl 1305.14014 Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd	22	2013
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055 Cox, David A.	21	2014
What is a toric variety? Zbl 1038.14021 Cox, David	21	2003
Galois theory. Zbl 1057.12002 Cox, David A.	20	2004
Residues in toric varieties. Zbl 0883.14029 Cattani, Eduardo; Cox, David; Dickenstein, Alicia	17	1997
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500 Cox, David A.	17	1997
Curves, surfaces, and syzygies. Zbl 1058.14072 Cox, David	17	2003
Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074 Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A.	17	2003
Toric varieties and toric resolutions. Zbl 0969.14035 Cox, David A.	16	2000
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018 Cox, David A.	13	1982
Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015 Cox, David A.; Parry, Walter R.	13	1980
Integer decomposition property of dilated polytopes. Zbl 1308.52012 Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro	12	2014
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002 Cox, David A.	12	2011
Secant varieties of toric varieties. Zbl 1115.14045 Cox, David; Sidman, Jessica	12	2007
Primitive collections and toric varieties. Zbl 1185.14045 Cox, David A.; von Renesse, Christine	12	2009
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006 Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel	11	2019
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001 Cox, David A.	11	2020
Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006 Cox, David; Schenck, Hal	11	2003
A case study in bigraded commutative algebra. Zbl 1127.13002 Cox, David; Dickenstein, Alicia; Schenck, Hal	11	2007
Variational Torelli implies generic Torelli. Zbl 0594.14011 Cox, David; Donagi, Ron; Tu, Loring	10	1987
Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028 Cox, David A.; Parry, Walter R.	10	1984
Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002 Kunz, Ernst	10	2008
Geometry and number theory on clovers. Zbl 1107.51007 Cox, David A.; Shurman, Jerry	9	2005
Solving equations via algebras. Zbl 1152.13306 Cox, David A.	9	2005
Principal moduli and class fields. Zbl 1047.11107 Cox, David; McKay, John; Stevenhagen, Peter	8	2004
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041 Cox, David A.	8	1989
The etale homotopy type of varieties over R. Zbl 0442.14004 Cox, David A.	8	1979
Tate resolutions for Segre embeddings. Zbl 1168.13009 Cox, David A.; Materov, Evgeny	8	2008
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125 Clarke, Patrick; Cox, David A.	7	2020
The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017 Cox, David A.	7	1990
Codimension theorems for complete toric varieties. Zbl 1083.14058 Cox, David; Dickenstein, Alicia	6	2005
Stickelberger and the eigenvalue theorem. Zbl 1498.13067 Cox, David A.	6	2021
Performance indicators: good, bad, and ugly. Zbl 1114.62304 Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C.	6	2005
The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001 Bashmakova, I. G.; Smirnova, G. S.	6	2000
On closed graphs. I. Zbl 1349.05282 Cox, David A.; Erskine, Andrew	5	2015
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009 Cox, David A.	5	2015
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Third edition with solutions. With contributions by Roger Lipsett. 3rd edition. Zbl 1504.11002 Cox, David A.	5	2022
Introduction to Fermat’s Last Theorem. Zbl 0849.11002 Cox, David A.	5	1994
Update on toric geometry. Zbl 1050.14001 Cox, David A.	5	2002
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005 Cox, David; Donagi, Ron	5	1986
Strata of rational space curves. Zbl 1417.14009 Cox, David A.; Iarrobino, Anthony A.	4	2015
Algebraic tubular neighborhoods. I. Zbl 0414.14005 Cox, David A.	4	1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012 Cox, David A.	4	1978
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054 Cox, David A.; Ma’u, Sione	3	2017
Introduction to Gröbner bases. Zbl 0941.13018 Cox, David A.	3	1998
Virtual fundamental classes of zero loci. Zbl 1065.14014 Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin	3	2001
Universal rational parametrizations and toric varieties. Zbl 1080.14539 Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea	3	2003
What is the role of algebra in applied mathematics? Zbl 1114.00003 Cox, David A.	3	2005
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007 Cox, David A.; Green, Mark L.	3	1990
The Galois theory of the lemniscate. Zbl 1385.11040 Cox, David A.; Hyde, Trevor	2	2014
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039	2	1998
On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082 Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael	2	2022
Subresultants and the Shape Lemma. Zbl 1516.13028 Cox, David A.; D’Andrea, Carlos	2	2023
Regularity and Segre-Veronese embeddings. Zbl 1169.14012 Cox, David A.; Materov, Evgeny	2	2009
Homotopy theory of simplicial schemes. Zbl 0385.14004 Cox, David A.	2	1979
Tate resolutions and Weyman complexes. Zbl 1228.14013 Cox, David A.; Materov, Evgeny	1	2011
Calculus in context: the five college calculus project. Zbl 0874.26002 Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester	1	1995
Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008 Abrevaya, Germán; Dumas, Guillaume; Aravkin, Aleksandr Y.; Zheng, Peng; Gagnon-Audet, Jean-Christophe; Kozloski, James; Polosecki, Pablo; Lajoie, Guillaume; Cox, David; Dawson, Silvina Ponce; Cecchi, Guillermo; Rish, Irina	1	2021
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018 Cox, David A.	1	1976
Generic Torelli and infinitesimal variation of Hodge structure. Zbl 0637.14008 Cox, David A.	1	1987
Representations associated with elliptic surfaces. Zbl 0582.14013 Cox, David A.; Parry, Walter R.	1	1984
Solutions of Weierstrass equations. Zbl 0438.14019 Cox, David A.	1	1979
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013 Cox, David A.	1	2009
Subresultants and the Shape Lemma. Zbl 1516.13028 Cox, David A.; D’Andrea, Carlos	2	2023
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Third edition with solutions. With contributions by Roger Lipsett. 3rd edition. Zbl 1504.11002 Cox, David A.	5	2022
On the base point locus of surface parametrizations: formulas and consequences. Zbl 1506.14082 Cox, David A.; Pérez-Díaz, Sonia; Sendra, J. Rafael	2	2022
Stickelberger and the eigenvalue theorem. Zbl 1498.13067 Cox, David A.	6	2021
Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008 Abrevaya, Germán; Dumas, Guillaume; Aravkin, Aleksandr Y.; Zheng, Peng; Gagnon-Audet, Jean-Christophe; Kozloski, James; Polosecki, Pablo; Lajoie, Guillaume; Cox, David; Dawson, Silvina Ponce; Cecchi, Guillermo; Rish, Irina	1	2021
Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001 Cox, David A.	11	2020
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125 Clarke, Patrick; Cox, David A.	7	2020
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006 Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel	11	2019
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054 Cox, David A.; Ma’u, Sione	3	2017
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001 Cox, David A.; Little, John; O’Shea, Donal	349	2015
On closed graphs. I. Zbl 1349.05282 Cox, David A.; Erskine, Andrew	5	2015
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009 Cox, David A.	5	2015
Strata of rational space curves. Zbl 1417.14009 Cox, David A.; Iarrobino, Anthony A.	4	2015
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055 Cox, David A.	21	2014
Integer decomposition property of dilated polytopes. Zbl 1308.52012 Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro	12	2014
The Galois theory of the lemniscate. Zbl 1385.11040 Cox, David A.; Hyde, Trevor	2	2014
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002 Cox, David A.	139	2013
A study of singularities on rational curves via syzygies. Zbl 1305.14014 Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd	22	2013
Galois theory. 2nd ed. Zbl 1247.12006 Cox, David A.	31	2012
Toric varieties. Zbl 1223.14001 Cox, David A.; Little, John B.; Schenck, Henry K.	943	2011
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002 Cox, David A.	12	2011
Tate resolutions and Weyman complexes. Zbl 1228.14013 Cox, David A.; Materov, Evgeny	1	2011
Primitive collections and toric varieties. Zbl 1185.14045 Cox, David A.; von Renesse, Christine	12	2009
Regularity and Segre-Veronese embeddings. Zbl 1169.14012 Cox, David A.; Materov, Evgeny	2	2009
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013 Cox, David A.	1	2009
Syzygies and the Rees algebra. Zbl 1151.13012 Cox, David; Hoffman, J. William; Wang, Haohao	33	2008
The moving curve ideal and the Rees algebra. Zbl 1170.13004 Cox, David A.	23	2008
Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002 Kunz, Ernst	10	2008
Tate resolutions for Segre embeddings. Zbl 1168.13009 Cox, David A.; Materov, Evgeny	8	2008
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001 Cox, David; Little, John; O’Shea, Donal	554	2007
Secant varieties of toric varieties. Zbl 1115.14045 Cox, David; Sidman, Jessica	12	2007
A case study in bigraded commutative algebra. Zbl 1127.13002 Cox, David; Dickenstein, Alicia; Schenck, Hal	11	2007
Using algebraic geometry. 2nd ed. Zbl 1079.13017 Cox, David A.; Little, John; O’Shea, Donal	308	2005
The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054 Chen, Falai; Cox, David; Liu, Yang	44	2005
Geometry and number theory on clovers. Zbl 1107.51007 Cox, David A.; Shurman, Jerry	9	2005
Solving equations via algebras. Zbl 1152.13306 Cox, David A.	9	2005
Codimension theorems for complete toric varieties. Zbl 1083.14058 Cox, David; Dickenstein, Alicia	6	2005
Performance indicators: good, bad, and ugly. Zbl 1114.62304 Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C.	6	2005
What is the role of algebra in applied mathematics? Zbl 1114.00003 Cox, David A.	3	2005
A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001 Clark, Robert; Cox, David; Curtiss, H. C. jun.; Edwards, John W.; Hall, Kenneth C.; Peters, David A.; Scanlan, Robert; Simiu, Emil; Sisto, Fernando; Strganac, Thomas W.	37	2004
Galois theory. Zbl 1057.12002 Cox, David A.	20	2004
Principal moduli and class fields. Zbl 1047.11107 Cox, David; McKay, John; Stevenhagen, Peter	8	2004
Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066 Busé, Laurent; Cox, David; D’Andrea, Carlos	48	2003
What is a toric variety? Zbl 1038.14021 Cox, David	21	2003
Curves, surfaces, and syzygies. Zbl 1058.14072 Cox, David	17	2003
Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074 Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A.	17	2003
Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006 Cox, David; Schenck, Hal	11	2003
Universal rational parametrizations and toric varieties. Zbl 1080.14539 Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea	3	2003
Update on toric geometry. Zbl 1050.14001 Cox, David A.	5	2002
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174 Cox, David A.	35	2001
Virtual fundamental classes of zero loci. Zbl 1065.14014 Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin	3	2001
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124 Cox, David; Goldman, Ronald; Zhang, Ming	47	2000
Toric varieties and toric resolutions. Zbl 0969.14035 Cox, David A.	16	2000
The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001 Bashmakova, I. G.; Smirnova, G. S.	6	2000
Mirror symmetry and algebraic geometry. Zbl 0951.14026 Cox, David A.; Katz, Sheldon	305	1999
Using algebraic geometry. Zbl 0920.13026 Cox, David; Little, John; O’Shea, Donal	387	1998
The moving line ideal basis of planar rational curves. Zbl 0908.68174 Cox, David A.; Sederberg, Thomas W.; Chen, Falai	87	1998
Introduction to Gröbner bases. Zbl 0941.13018 Cox, David A.	3	1998
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039	2	1998
Recent developments in toric geometry. Zbl 0899.14025 Cox, David A.	31	1997
Residues in toric varieties. Zbl 0883.14029 Cattani, Eduardo; Cox, David; Dickenstein, Alicia	17	1997
Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500 Cox, David A.	17	1997
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012 Cox, David; Little, John; O’Shea, Donal	174	1996
Toric residues. Zbl 0904.14029 Cox, David A.	23	1996
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032 Cox, David A.	345	1995
The functor of a smooth toric variety. Zbl 0828.14035 Cox, David A.	31	1995
Calculus in context: the five college calculus project. Zbl 0874.26002 Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester	1	1995
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021 Batyrev, Victor V.; Cox, David A.	95	1994
Introduction to Fermat’s Last Theorem. Zbl 0849.11002 Cox, David A.	5	1994
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017 Cox, David; Little, John; O’Shea, Donal	506	1992
The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017 Cox, David A.	7	1990
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007 Cox, David A.; Green, Mark L.	3	1990
Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001 Cox, David A.	310	1989
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041 Cox, David A.	8	1989
Variational Torelli implies generic Torelli. Zbl 0594.14011 Cox, David; Donagi, Ron; Tu, Loring	10	1987
Generic Torelli and infinitesimal variation of Hodge structure. Zbl 0637.14008 Cox, David A.	1	1987
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005 Cox, David; Donagi, Ron	5	1986
The arithmetic-geometric mean of Gauss. Zbl 0583.33002 Cox, David A.	39	1984
Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028 Cox, David A.; Parry, Walter R.	10	1984
Representations associated with elliptic surfaces. Zbl 0582.14013 Cox, David A.; Parry, Walter R.	1	1984
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018 Cox, David A.	13	1982
Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015 Cox, David A.; Parry, Walter R.	13	1980
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004 Cox, David A.; Zucker, Steven	45	1979
The etale homotopy type of varieties over R. Zbl 0442.14004 Cox, David A.	8	1979
Homotopy theory of simplicial schemes. Zbl 0385.14004 Cox, David A.	2	1979
Solutions of Weierstrass equations. Zbl 0438.14019 Cox, David A.	1	1979
Algebraic tubular neighborhoods. I. Zbl 0414.14005 Cox, David A.	4	1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012 Cox, David A.	4	1978
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018 Cox, David A.	1	1976

all cited Publications top 5 cited Publications

all top 5

Cited by 5,413 Authors

29	Busé, Laurent
27	Hashemi, Amir
27	Mourrain, Bernard
26	D’Andrea, Carlos
25	Cox, David A.
25	Faugère, Jean-Charles
24	Chen, Falai
24	Koo, Jakyung
23	Michałek, Mateusz
22	Goldman, Ronald N.
22	Sendra, Juan Rafael
22	Sturmfels, Bernd
21	Pérez-Díaz, Sonia
21	Shin, Dong Hwa
20	Emiris, Ioannis Z.
20	Hausen, Jürgen
20	Hibi, Takayuki
20	Wang, Dingkang
19	Romanovskiĭ, Valeriĭ Georgievich
19	Shen, Liyong
18	Arzhantsev, Ivan Vladimirovich
18	Seiler, Werner M.
17	Safey El Din, Mohab
17	Villarreal, Rafael Heraclio
16	Possieri, Corrado
15	Laface, Antonio
15	Lu, Dong
15	Qi, Liqun
15	Sottile, Frank
15	Tsuchiya, Akiyoshi
15	Webster, Justin T.
14	Jung, Ho Yun
14	Tsigaridas, Elias P.
14	Wang, Haohao
13	Kapur, Deepak
13	Menini, Laura
13	Ohsugi, Hidefumi
13	Tornambè, Antonio
13	Yoon, Dong Sung
12	Bruzzo, Ugo
12	Dickenstein, Alicia M.
12	Hauenstein, Jonathan D.
12	He, Yang-Hui Evariste
12	Helmer, Martin
12	Morton, Patrick
12	Sauer, Tomas
12	Sharir, Micha
11	Falcón Ganfornina, Raúl Manuel
11	Gao, Xiaoshan
11	García, Isaac A.
11	Jia, Xiaohong
11	Klemm, Albrecht
11	Moraga Saez, Joaquín Leonardo
11	Simis, Aron
11	Thomas, Rekha R.
11	Xiao, Fanghui
11	Yuan, Chunming
10	Carvalho, Cícero F.
10	Castryck, Wouter
10	de Graaf, Willem Adriaan
10	Geil, Olav
10	Ilten, Nathan Owen
10	Jeronimo, Gabriela
10	Lasiecka, Irena
10	Lin, Kuei-Nuan
10	Roanes-Lozano, Eugenio
10	Rossi, Michele
10	Rouillier, Fabrice
10	Schost, Éric
10	Telen, Simon
10	Walcher, Sebastian
10	Wang, Dongming
10	Weigand, Timo
9	Chen, Yuqun
9	De Loera, Jesús A.
9	Doran, Charles F.
9	Hegedűs, Gábor
9	Higashitani, Akihiro
9	Hoffman, Jerome William
9	Iritani, Hiroshi
9	Liendo, Alvaro
9	Melnikov, Ilarion V.
9	Ono, Ken
9	Rietsch, Konstanze
9	Sun, Yao
9	Sun, Zhi-Wei
9	Villarino, Carlos
8	Boreale, Michele
8	Braun, Andreas P.
8	Braun, Lukas
8	Chardin, Marc
8	Cortadellas Benítez, Teresa
8	Dana-Picard, Thierry Noah
8	Duarte, Daniel
8	Duarte, Eliana
8	Eur, Christopher
8	García-Río, Eduardo
8	Gerdt, Vladimir Petrovich
8	Hernando, Antonio
8	Hong, Hoon
...and 5,313 more Authors

all top 5

Cited in 568 Serials

279	Journal of Symbolic Computation
176	Journal of Algebra
132	Journal of High Energy Physics
118	Advances in Mathematics
97	Journal of Number Theory
90	Journal of Pure and Applied Algebra
69	Proceedings of the American Mathematical Society
69	Computer Aided Geometric Design
66	Transactions of the American Mathematical Society
59	Mathematische Zeitschrift
56	Linear Algebra and its Applications
55	Mathematics of Computation
43	Communications in Algebra
43	Communications in Mathematical Physics
43	Finite Fields and their Applications
41	Duke Mathematical Journal
38	The Ramanujan Journal
37	Nuclear Physics. B
37	Advances in Applied Mathematics
36	Annales de l’Institut Fourier
36	Journal of Computational and Applied Mathematics
34	Manuscripta Mathematica
34	Designs, Codes and Cryptography
33	Mathematics in Computer Science
32	Discrete & Computational Geometry
31	Journal of Mathematical Analysis and Applications
29	Mathematische Annalen
28	Journal of Geometry and Physics
28	SIAM Journal on Applied Algebra and Geometry
27	Mathematische Nachrichten
27	Journal of Algebraic Combinatorics
27	The Electronic Journal of Combinatorics
27	Selecta Mathematica. New Series
27	Journal of Systems Science and Complexity
26	Journal of the London Mathematical Society. Second Series
25	Applied Mathematics and Computation
25	Applicable Algebra in Engineering, Communication and Computing
25	Journal of Algebraic Geometry
24	Tôhoku Mathematical Journal. Second Series
24	European Journal of Mathematics
23	Journal für die Reine und Angewandte Mathematik
23	Journal de Théorie des Nombres de Bordeaux
23	Foundations of Computational Mathematics
22	Compositio Mathematica
22	Journal of Combinatorial Theory. Series A
20	Theoretical Computer Science
20	Journal of Algebra and its Applications
19	Journal of Differential Equations
19	Transformation Groups
19	Research in Number Theory
18	Inventiones Mathematicae
17	Mathematics and Computers in Simulation
16	Collectanea Mathematica
16	Michigan Mathematical Journal
16	Proceedings of the London Mathematical Society. Third Series
16	International Journal of Mathematics
16	Journal of Commutative Algebra
16	Science China. Mathematics
15	Journal of the American Mathematical Society
15	Experimental Mathematics
15	International Journal of Number Theory
14	Israel Journal of Mathematics
14	Proceedings of the Japan Academy. Series A
13	Automatica
13	Results in Mathematics
13	Forum Mathematicum
13	Journal of Mathematical Sciences (New York)
13	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13	Forum of Mathematics, Sigma
12	Discrete Mathematics
12	Rocky Mountain Journal of Mathematics
12	Beiträge zur Algebra und Geometrie
12	Archiv der Mathematik
12	Bulletin of the London Mathematical Society
12	Nagoya Mathematical Journal
12	International Journal of Algebra and Computation
12	Bulletin of the American Mathematical Society. New Series
11	Journal of Mathematical Physics
11	Topology and its Applications
11	European Journal of Combinatorics
11	Journal of Complexity
11	SIAM Journal on Discrete Mathematics
11	Journal of Mathematical Imaging and Vision
11	Computational Complexity
11	Communications in Contemporary Mathematics
11	Algebra & Number Theory
11	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10	Discrete Applied Mathematics
10	Mathematical Proceedings of the Cambridge Philosophical Society
10	Acta Arithmetica
10	Systems & Control Letters
10	The Journal of Geometric Analysis
10	Proceedings of the Steklov Institute of Mathematics
10	Algebraic Combinatorics
9	American Mathematical Monthly
9	Computers & Mathematics with Applications
9	Letters in Mathematical Physics
9	Linear and Multilinear Algebra
9	Geometriae Dedicata
9	Semigroup Forum
...and 468 more Serials

all top 5

Cited in 62 Fields

2,177	Algebraic geometry (14-XX)
1,087	Commutative algebra (13-XX)
755	Number theory (11-XX)
645	Computer science (68-XX)
359	Numerical analysis (65-XX)
338	Combinatorics (05-XX)
313	Convex and discrete geometry (52-XX)
282	Quantum theory (81-XX)
252	Several complex variables and analytic spaces (32-XX)
244	Differential geometry (53-XX)
228	Information and communication theory, circuits (94-XX)
173	Linear and multilinear algebra; matrix theory (15-XX)
155	Field theory and polynomials (12-XX)
146	Group theory and generalizations (20-XX)
135	Ordinary differential equations (34-XX)
133	Dynamical systems and ergodic theory (37-XX)
113	Associative rings and algebras (16-XX)
105	Operations research, mathematical programming (90-XX)
98	Systems theory; control (93-XX)
97	Statistics (62-XX)
93	Manifolds and cell complexes (57-XX)
91	Biology and other natural sciences (92-XX)
80	Relativity and gravitational theory (83-XX)
77	Nonassociative rings and algebras (17-XX)
76	Special functions (33-XX)
76	Partial differential equations (35-XX)
65	Algebraic topology (55-XX)
59	Mechanics of particles and systems (70-XX)
57	Approximations and expansions (41-XX)
55	Geometry (51-XX)
46	Mechanics of deformable solids (74-XX)
45	Functions of a complex variable (30-XX)
44	Global analysis, analysis on manifolds (58-XX)
42	Real functions (26-XX)
40	Mathematical logic and foundations (03-XX)
39	Fluid mechanics (76-XX)
35	Order, lattices, ordered algebraic structures (06-XX)
34	Probability theory and stochastic processes (60-XX)
33	Operator theory (47-XX)
30	Category theory; homological algebra (18-XX)
28	\(K\)-theory (19-XX)
25	Topological groups, Lie groups (22-XX)
23	Harmonic analysis on Euclidean spaces (42-XX)
23	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22	Difference and functional equations (39-XX)
16	Statistical mechanics, structure of matter (82-XX)
14	History and biography (01-XX)
12	Functional analysis (46-XX)
12	Calculus of variations and optimal control; optimization (49-XX)
11	General and overarching topics; collections (00-XX)
10	Integral transforms, operational calculus (44-XX)
7	Sequences, series, summability (40-XX)
7	Classical thermodynamics, heat transfer (80-XX)
6	Mathematics education (97-XX)
5	Optics, electromagnetic theory (78-XX)
5	Astronomy and astrophysics (85-XX)
4	General algebraic systems (08-XX)
4	Potential theory (31-XX)
4	Abstract harmonic analysis (43-XX)
4	General topology (54-XX)
3	Measure and integration (28-XX)
1	Integral equations (45-XX)

Citations by Year

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