## Cox, David A.

Compute Distance To:
 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: 96 Publications since 1976, including 17 Books 4 Contributions as Editor · 2 Further Contributions Co-Authors: 71 Co-Authors with 54 Joint Publications 1,756 Co-Co-Authors
all top 5

### Co-Authors

 42 single-authored 7 Little, John Brittain 7 O’Shea, Donal B. 6 Dickenstein, Alicia M. 5 Schenck, Hal 3 D’Andrea, Carlos 3 Materov, Evgeny N. 3 Parry, Walter R. 2 Chen, Falai 2 Clarke, Nancy Ellen 2 Donagi, Ron Y. 2 Erskine, Andrew 2 Katz, Sheldon 2 Messinger, Margaret-Ellen 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 Bonato, Anthony 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, John W. 1 Esnault, Hélène 1 Farewell, Vern T. 1 Finbow, Stephen 1 Fitzpatrick, Shannon L. 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 1 Krasauskas, Rimvydas 1 Kunz, Ernst 1 Kustin, Andrew R. 1 Lajoie, Guillaume 1 Lee, Yuan-Pin 1 Lin, Kuei-Nuan 1 Liu, Yang 1 Ma’u, Sione 1 Mc Inerney, Fionn 1 Mcgiffen, T. 1 McKay, John 1 Mustaţă, Mircea 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 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 ...and 1 more Co-Authors
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### 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 Theoretical Computer Science 2 Tohoku 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 Discrete Applied Mathematics 1 IEEE Transactions on Information Theory 1 Arkiv för Matematik 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 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 CBMS Regional Conference Series in Mathematics
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### Fields

 66 Algebraic geometry (14-XX) 30 Commutative algebra (13-XX) 13 Number theory (11-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Computer science (68-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 6 Numerical analysis (65-XX) 4 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 3 Biology and other natural sciences (92-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-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)

### Citations contained in zbMATH Open

84 Publications have been cited 2,943 times in 2,443 Documents Cited by Year
Toric varieties. Zbl 1223.14001
Cox, David A.; Little, John B.; Schenck, Henry K.
2011
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032
Cox, David A.
1995
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
2007
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
1999
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O’Shea, Donal
1998
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O’Shea, Donal
1992
Primes of the form $$x^ 2+ny^ 2$$. Fermat, class field theory and complex multiplication. Zbl 0701.11001
Cox, David A.
1989
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O’Shea, Donal
2005
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
2015
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
1998
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021
Batyrev, Victor V.; Cox, David A.
1994
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
1996
Primes of the form $$x^2+ny^2$$. Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002
Cox, David A.
2013
On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124
Cox, David; Goldman, Ronald; Zhang, Ming
2000
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
1979
Implicitization of surfaces in $${\mathbb P}^ 3$$ in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D’Andrea, Carlos
2003
The $$\mu$$-basis and implicitization of a rational parametric surface. Zbl 1120.14054
Chen, Falai; Cox, David; Liu, Yang
2005
The arithmetic-geometric mean of Gauss. Zbl 0583.33002
Cox, David A.
1984
Syzygies and the Rees algebra. Zbl 1151.13012
Cox, David; Hoffman, J. William; Wang, Haohao
2008
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174
Cox, David A.
2001
Recent developments in toric geometry. Zbl 0899.14025
Cox, David A.
1997
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.
2004
The functor of a smooth toric variety. Zbl 0828.14035
Cox, David A.
1995
What is a toric variety? Zbl 1038.14021
Cox, David
2003
Toric residues. Zbl 0904.14029
Cox, David A.
1996
A study of singularities on rational curves via syzygies. Zbl 1305.14014
Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd
2013
The moving curve ideal and the Rees algebra. Zbl 1170.13004
Cox, David A.
2008
Toric varieties and toric resolutions. Zbl 0969.14035
Cox, David A.
2000
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.
2003
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
1997
Curves, surfaces, and syzygies. Zbl 1058.14072
Cox, David
2003
Galois theory. Zbl 1057.12002
Cox, David A.
2004
Galois theory. 2nd ed. Zbl 1247.12006
Cox, David A.
2012
Torsion in elliptic curves over $$k(t)$$. Zbl 0442.14015
Cox, David A.; Parry, Walter R.
1980
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018
Cox, David A.
1982
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
1987
Local complete intersections in $$\mathbb{P}^2$$ and Koszul syzygies. Zbl 1075.13006
Cox, David; Schenck, Hal
2003
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
2014
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055
Cox, David A.
2014
Primitive collections and toric varieties. Zbl 1185.14045
Cox, David A.; von Renesse, Christine
2009
Secant varieties of toric varieties. Zbl 1115.14045
Cox, David; Sidman, Jessica
2007
Primes of the form $$x^2+ny^2$$. Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500
Cox, David A.
1997
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002
Cox, David A.
2011
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
2004
A case study in bigraded commutative algebra. Zbl 1127.13002
Cox, David; Dickenstein, Alicia; Schenck, Hal
2007
The Noether-Lefschetz locus of regular elliptic surfaces with section and $$p_ g\geq 2$$. Zbl 0721.14017
Cox, David A.
1990
Geometry and number theory on clovers. Zbl 1107.51007
Cox, David A.; Shurman, Jerry
2005
Genera of congruence subgroups in $${\mathbb{Q}}$$-quaternion algebras. Zbl 0531.10028
Cox, David A.; Parry, Walter R.
1984
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041
Cox, David A.
1989
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.
2000
The etale homotopy type of varieties over R. Zbl 0442.14004
Cox, David A.
1979
Tate resolutions for Segre embeddings. Zbl 1168.13009
Cox, David A.; Materov, Evgeny
2008
Solving equations via algebras. Zbl 1152.13306
Cox, David A.
2005
Introduction to Fermat’s Last Theorem. Zbl 0849.11002
Cox, David A.
1994
Codimension theorems for complete toric varieties. Zbl 1083.14058
Cox, David; Dickenstein, Alicia
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.
2005
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005
Cox, David; Donagi, Ron
1986
On closed graphs. I. Zbl 1349.05282
Cox, David A.; Erskine, Andrew
2015
Update on toric geometry. Zbl 1050.14001
Cox, David A.
2002
Algebraic tubular neighborhoods. I. Zbl 0414.14005
Cox, David A.
1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012
Cox, David A.
1978
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009
Cox, David A.
2015
Introduction to Gröbner bases. Zbl 0941.13018
Cox, David A.
1998
What is the role of algebra in applied mathematics? Zbl 1114.00003
Cox, David A.
2005
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006
Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel
2019
Regularity and Segre-Veronese embeddings. Zbl 1169.14012
Cox, David A.; Materov, Evgeny
2009
Universal rational parametrizations and toric varieties. Zbl 1080.14539
Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea
2003
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039
1998
Homotopy theory of simplicial schemes. Zbl 0385.14004
Cox, David A.
1979
Limited visibility cops and robber. Zbl 1441.05155
Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E.
2020
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125
Clarke, Patrick; Cox, David A.
2020
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
2015
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007
Cox, David A.; Green, Mark L.
1990
Tate resolutions and Weyman complexes. Zbl 1228.14013
Cox, David A.; Materov, Evgeny
2011
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013
Cox, David A.
2009
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
2008
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1995
Representations associated with elliptic surfaces. Zbl 0582.14013
Cox, David A.; Parry, Walter R.
1984
Solutions of Weierstrass equations. Zbl 0438.14019
Cox, David A.
1979
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018
Cox, David A.
1976
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.
2020
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
2001
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054
Cox, David A.; Ma’u, Sione
2017
The Galois theory of the lemniscate. Zbl 1385.11040
Cox, David A.; Hyde, Trevor
2014
Limited visibility cops and robber. Zbl 1441.05155
Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E.
2020
Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125
Clarke, Patrick; Cox, David A.
2020
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.
2020
Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006
Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel
2019
Transfinite diameter on complex algebraic varieties. Zbl 1375.32054
Cox, David A.; Ma&rsquo;u, Sione
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&rsquo;Shea, Donal
2015
On closed graphs. I. Zbl 1349.05282
Cox, David A.; Erskine, Andrew
2015
Mirror symmetry and polar duality of polytopes. Zbl 1377.14009
Cox, David A.
2015
Strata of rational space curves. Zbl 1417.14009
Cox, David A.; Iarrobino, Anthony A.
2015
Integer decomposition property of dilated polytopes. Zbl 1308.52012
Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro
2014
Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055
Cox, David A.
2014
The Galois theory of the lemniscate. Zbl 1385.11040
Cox, David A.; Hyde, Trevor
2014
Primes of the form $$x^2+ny^2$$. Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002
Cox, David A.
2013
A study of singularities on rational curves via syzygies. Zbl 1305.14014
Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd
2013
Galois theory. 2nd ed. Zbl 1247.12006
Cox, David A.
2012
Toric varieties. Zbl 1223.14001
Cox, David A.; Little, John B.; Schenck, Henry K.
2011
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002
Cox, David A.
2011
Tate resolutions and Weyman complexes. Zbl 1228.14013
Cox, David A.; Materov, Evgeny
2011
Primitive collections and toric varieties. Zbl 1185.14045
Cox, David A.; von Renesse, Christine
2009
Regularity and Segre-Veronese embeddings. Zbl 1169.14012
Cox, David A.; Materov, Evgeny
2009
Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013
Cox, David A.
2009
Syzygies and the Rees algebra. Zbl 1151.13012
Cox, David; Hoffman, J. William; Wang, Haohao
2008
The moving curve ideal and the Rees algebra. Zbl 1170.13004
Cox, David A.
2008
Tate resolutions for Segre embeddings. Zbl 1168.13009
Cox, David A.; Materov, Evgeny
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
2008
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001
Cox, David; Little, John; O&rsquo;Shea, Donal
2007
Secant varieties of toric varieties. Zbl 1115.14045
Cox, David; Sidman, Jessica
2007
A case study in bigraded commutative algebra. Zbl 1127.13002
Cox, David; Dickenstein, Alicia; Schenck, Hal
2007
Using algebraic geometry. 2nd ed. Zbl 1079.13017
Cox, David A.; Little, John; O&rsquo;Shea, Donal
2005
The $$\mu$$-basis and implicitization of a rational parametric surface. Zbl 1120.14054
Chen, Falai; Cox, David; Liu, Yang
2005
Geometry and number theory on clovers. Zbl 1107.51007
Cox, David A.; Shurman, Jerry
2005
Solving equations via algebras. Zbl 1152.13306
Cox, David A.
2005
Codimension theorems for complete toric varieties. Zbl 1083.14058
Cox, David; Dickenstein, Alicia
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.
2005
What is the role of algebra in applied mathematics? Zbl 1114.00003
Cox, David A.
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.
2004
Galois theory. Zbl 1057.12002
Cox, David A.
2004
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
2004
Implicitization of surfaces in $${\mathbb P}^ 3$$ in the presence of base points. Zbl 1068.14066
Busé, Laurent; Cox, David; D&rsquo;Andrea, Carlos
2003
What is a toric variety? Zbl 1038.14021
Cox, David
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.
2003
Curves, surfaces, and syzygies. Zbl 1058.14072
Cox, David
2003
Local complete intersections in $$\mathbb{P}^2$$ and Koszul syzygies. Zbl 1075.13006
Cox, David; Schenck, Hal
2003
Universal rational parametrizations and toric varieties. Zbl 1080.14539
Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea
2003
Update on toric geometry. Zbl 1050.14001
Cox, David A.
2002
Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174
Cox, David A.
2001
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
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
2000
Toric varieties and toric resolutions. Zbl 0969.14035
Cox, David A.
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.
2000
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
1999
Using algebraic geometry. Zbl 0920.13026
Cox, David; Little, John; O&rsquo;Shea, Donal
1998
The moving line ideal basis of planar rational curves. Zbl 0908.68174
Cox, David A.; Sederberg, Thomas W.; Chen, Falai
1998
Introduction to Gröbner bases. Zbl 0941.13018
Cox, David A.
1998
Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039
1998
Recent developments in toric geometry. Zbl 0899.14025
Cox, David A.
1997
Residues in toric varieties. Zbl 0883.14029
Cattani, Eduardo; Cox, David; Dickenstein, Alicia
1997
Primes of the form $$x^2+ny^2$$. Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500
Cox, David A.
1997
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012
Cox, David; Little, John; O&rsquo;Shea, Donal
1996
Toric residues. Zbl 0904.14029
Cox, David A.
1996
The homogeneous coordinate ring of a toric variety. Zbl 0846.14032
Cox, David A.
1995
The functor of a smooth toric variety. Zbl 0828.14035
Cox, David A.
1995
Calculus in context: the five college calculus project. Zbl 0874.26002
Callahan, James; Cox, David; Hoffman, Kenneth; O&rsquo;Shea, Donal; Pollatsek, Harriet; Senechal, Lester
1995
On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021
Batyrev, Victor V.; Cox, David A.
1994
Introduction to Fermat’s Last Theorem. Zbl 0849.11002
Cox, David A.
1994
Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017
Cox, David; Little, John; O&rsquo;Shea, Donal
1992
The Noether-Lefschetz locus of regular elliptic surfaces with section and $$p_ g\geq 2$$. Zbl 0721.14017
Cox, David A.
1990
Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007
Cox, David A.; Green, Mark L.
1990
Primes of the form $$x^ 2+ny^ 2$$. Fermat, class field theory and complex multiplication. Zbl 0701.11001
Cox, David A.
1989
Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041
Cox, David A.
1989
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
1987
On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005
Cox, David; Donagi, Ron
1986
The arithmetic-geometric mean of Gauss. Zbl 0583.33002
Cox, David A.
1984
Genera of congruence subgroups in $${\mathbb{Q}}$$-quaternion algebras. Zbl 0531.10028
Cox, David A.; Parry, Walter R.
1984
Representations associated with elliptic surfaces. Zbl 0582.14013
Cox, David A.; Parry, Walter R.
1984
Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018
Cox, David A.
1982
Torsion in elliptic curves over $$k(t)$$. Zbl 0442.14015
Cox, David A.; Parry, Walter R.
1980
Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004
Cox, David A.; Zucker, Steven
1979
The etale homotopy type of varieties over R. Zbl 0442.14004
Cox, David A.
1979
Homotopy theory of simplicial schemes. Zbl 0385.14004
Cox, David A.
1979
Solutions of Weierstrass equations. Zbl 0438.14019
Cox, David A.
1979
Algebraic tubular neighborhoods. I. Zbl 0414.14005
Cox, David A.
1978
Algebraic tubular neighborhoods. II. Zbl 0418.14012
Cox, David A.
1978
Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018
Cox, David A.
1976
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### Cited by 3,040 Authors

 20 Busé, Laurent 20 Cox, David A. 20 Goldman, Ronald N. 19 D’Andrea, Carlos 18 Chen, Falai 17 Hashemi, Amir 16 Hausen, Jürgen 16 Michałek, Mateusz 15 Hibi, Takayuki 14 Koo, Jakyung 13 Qi, Liqun 12 Arzhantsev, Ivan Vladimirovich 12 Sturmfels, Bernd 12 Wang, Haohao 11 Pérez-Díaz, Sonia 11 Shen, Liyong 11 Shin, Dong Hwa 11 Webster, Justin T. 10 Emiris, Ioannis Z. 10 Faugère, Jean-Charles 10 Gao, Xiaoshan 10 Jung, Ho Yun 10 Laface, Antonio 10 Mourrain, Bernard 10 Seiler, Werner M. 10 Sendra, Juan Rafael 10 Sharir, Micha 10 Simis, Aron 10 Sottile, Frank 10 Yuan, Chunming 9 García, Isaac A. 9 Iritani, Hiroshi 9 Jia, Xiaohong 9 Rietsch, Konstanze 8 Bruzzo, Ugo 8 Chen, Yuqun 8 Hoffman, Jerome William 8 Nill, Benjamin 8 Ohsugi, Hidefumi 8 Rossi, Michele 8 Smith, Gregory G. 8 Tsuchiya, Akiyoshi 7 Dickenstein, Alicia M. 7 Doran, Charles F. 7 He, Yang-Hui Evariste 7 Katzarkov, Ludmil 7 Lasiecka, Irena 7 Schenck, Hal 7 Tohǎneanu, Ştefan O. 7 Tsigaridas, Elias P. 7 Velasco, Mauricio 7 Villarreal, Rafael Heraclio 7 Wang, Dingkang 7 Wang, Xuhui 6 Bokut, Leonid A. 6 Botbol, Nicolás 6 Brini, Andrea 6 Castryck, Wouter 6 Chardin, Marc 6 Cortadellas Benítez, Teresa 6 Duarte, Daniel C. S. 6 Gatermann, Karin 6 Gubeladze, Joseph 6 Helmer, Martin 6 Higashitani, Akihiro 6 Hong, Hoon 6 Ilten, Nathan Owen 6 Javanbakht, Masoumeh 6 Jockers, Hans 6 Kapur, Deepak 6 Keicher, Simon 6 Kim, Chang Heon 6 Klemm, Albrecht 6 Kreuzer, Maximilian 6 Kustin, Andrew R. 6 Liendo, Alvaro 6 Morton, Patrick 6 Mustaţă, Mircea 6 Perling, Markus 6 Polini, Claudia 6 Rouillier, Fabrice 6 Safey El Din, Mohab 6 Sauer, Tomas 6 Schicho, Josef 6 Shi, Xiaoran 6 Skarke, Harald 6 Terracini, Lea 6 Tseng, Hsian-Hua 6 Walther, Uli 6 Yau, Shing-Tung 5 Bivià-Ausina, Carles 5 Borisov, Lev A. 5 Bourqui, David 5 de Graaf, Willem Adriaan 5 De Loera, Jesús A. 5 Dimca, Alexandru 5 Dipasquale, Michael R. 5 Duarte, Eliana 5 Edidin, Dan 5 Elizondo, E. Javier ...and 2,940 more Authors
all top 5

### Cited in 415 Serials

 165 Journal of Symbolic Computation 123 Journal of Algebra 88 Advances in Mathematics 60 Transactions of the American Mathematical Society 59 Proceedings of the American Mathematical Society 53 Computer Aided Geometric Design 52 Journal of Pure and Applied Algebra 50 Journal of High Energy Physics 43 Mathematics of Computation 38 Mathematische Zeitschrift 34 Duke Mathematical Journal 29 Journal of Number Theory 28 Communications in Mathematical Physics 28 Annales de l’Institut Fourier 28 The Ramanujan Journal 27 Communications in Algebra 27 Linear Algebra and its Applications 23 Tohoku Mathematical Journal. Second Series 23 Journal of Algebraic Geometry 22 Nuclear Physics. B 21 Discrete & Computational Geometry 21 Journal de Théorie des Nombres de Bordeaux 21 Mathematics in Computer Science 20 Mathematische Annalen 18 Manuscripta Mathematica 17 Journal of Geometry and Physics 17 Designs, Codes and Cryptography 17 Journal of Systems Science and Complexity 16 Compositio Mathematica 15 Journal of Combinatorial Theory. Series A 15 Journal für die Reine und Angewandte Mathematik 15 Advances in Applied Mathematics 15 Applicable Algebra in Engineering, Communication and Computing 15 Journal of Algebraic Combinatorics 14 Journal of Mathematical Analysis and Applications 14 Journal of Computational and Applied Mathematics 14 Journal of Differential Equations 14 Proceedings of the Japan Academy. Series A 14 Journal of the American Mathematical Society 14 Selecta Mathematica. New Series 14 Transformation Groups 13 Applied Mathematics and Computation 13 Science China. Mathematics 11 Finite Fields and their Applications 10 Rocky Mountain Journal of Mathematics 10 Beiträge zur Algebra und Geometrie 10 Collectanea Mathematica 10 Inventiones Mathematicae 10 Bulletin of the American Mathematical Society. New Series 10 The Electronic Journal of Combinatorics 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Archiv der Mathematik 9 Michigan Mathematical Journal 9 Nagoya Mathematical Journal 9 Theoretical Computer Science 9 International Journal of Mathematics 9 Mathematical Programming. Series A. Series B 9 Journal of Mathematical Sciences (New York) 9 Journal of Algebra and its Applications 9 Journal of Commutative Algebra 8 Israel Journal of Mathematics 8 Mathematische Nachrichten 8 European Journal of Combinatorics 8 International Journal of Algebra and Computation 8 Journal of Mathematical Imaging and Vision 7 Mathematical Notes 7 Geometriae Dedicata 7 Topology and its Applications 7 Acta Applicandae Mathematicae 7 Forum Mathematicum 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Experimental Mathematics 7 Journal of the European Mathematical Society (JEMS) 7 Communications in Contemporary Mathematics 7 International Journal of Number Theory 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Algebraic Combinatorics 6 Journal of the Mathematical Society of Japan 6 Proceedings of the London Mathematical Society. Third Series 6 Results in Mathematics 6 Siberian Mathematical Journal 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Expositiones Mathematicae 6 Geometry & Topology 6 Revista Matemática Complutense 6 Annals of Mathematics. Second Series 6 LMS Journal of Computation and Mathematics 6 Acta Mathematica Sinica. English Series 6 Proceedings of the Steklov Institute of Mathematics 6 Advances in High Energy Physics 6 European Journal of Mathematics 6 Research in Number Theory 6 SIAM Journal on Applied Algebra and Geometry 5 Discrete Applied Mathematics 5 Letters in Mathematical Physics 5 Bulletin of Mathematical Biology 5 Canadian Journal of Mathematics 5 Journal of Functional Analysis 5 Programming and Computer Software 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 315 more Serials
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### Cited in 62 Fields

 1,303 Algebraic geometry (14-XX) 589 Commutative algebra (13-XX) 357 Number theory (11-XX) 276 Computer science (68-XX) 194 Numerical analysis (65-XX) 170 Convex and discrete geometry (52-XX) 160 Combinatorics (05-XX) 147 Several complex variables and analytic spaces (32-XX) 146 Differential geometry (53-XX) 132 Quantum theory (81-XX) 95 Information and communication theory, circuits (94-XX) 86 Field theory and polynomials (12-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 74 Group theory and generalizations (20-XX) 68 Dynamical systems and ergodic theory (37-XX) 65 Associative rings and algebras (16-XX) 64 Ordinary differential equations (34-XX) 52 Manifolds and cell complexes (57-XX) 50 Operations research, mathematical programming (90-XX) 46 Special functions (33-XX) 46 Relativity and gravitational theory (83-XX) 45 Partial differential equations (35-XX) 44 Nonassociative rings and algebras (17-XX) 44 Statistics (62-XX) 43 Algebraic topology (55-XX) 40 Systems theory; control (93-XX) 39 Biology and other natural sciences (92-XX) 31 Mechanics of deformable solids (74-XX) 29 Mechanics of particles and systems (70-XX) 28 Category theory; homological algebra (18-XX) 28 Approximations and expansions (41-XX) 28 Geometry (51-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Real functions (26-XX) 23 Functions of a complex variable (30-XX) 22 Mathematical logic and foundations (03-XX) 22 Fluid mechanics (76-XX) 19 $$K$$-theory (19-XX) 19 Probability theory and stochastic processes (60-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Operator theory (47-XX) 14 Topological groups, Lie groups (22-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Difference and functional equations (39-XX) 10 History and biography (01-XX) 7 Sequences, series, summability (40-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 4 Mathematics education (97-XX) 3 Measure and integration (28-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Integral equations (45-XX)

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