Edit Profile (opens in new tab) Cox, David A. Compute Distance To: Compute 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 1,764 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 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 2,979 times in 2,474 Documents Cited by ▼ Year ▼ Toric varieties. Zbl 1223.14001Cox, David A.; Little, John B.; Schenck, Henry K. 477 2011 The homogeneous coordinate ring of a toric variety. Zbl 0846.14032Cox, David A. 280 1995 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001Cox, David; Little, John; O’Shea, Donal 260 2007 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 222 1998 Mirror symmetry and algebraic geometry. Zbl 0951.14026Cox, David A.; Katz, Sheldon 222 1999 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017Cox, David; Little, John; O’Shea, Donal 198 1992 Primes of the form \(x^ 2+ny^ 2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001Cox, David A. 152 1989 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 141 2005 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001Cox, David A.; Little, John; O’Shea, Donal 93 2015 The moving line ideal basis of planar rational curves. Zbl 0908.68174Cox, David A.; Sederberg, Thomas W.; Chen, Falai 75 1998 On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021Batyrev, Victor V.; Cox, David A. 73 1994 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012Cox, David; Little, John; O’Shea, Donal 50 1996 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002Cox, David A. 48 2013 On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124Cox, David; Goldman, Ronald; Zhang, Ming 39 2000 Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004Cox, David A.; Zucker, Steven 37 1979 The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054Chen, Falai; Cox, David; Liu, Yang 35 2005 Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066Busé, Laurent; Cox, David; D’Andrea, Carlos 35 2003 The arithmetic-geometric mean of Gauss. Zbl 0583.33002Cox, David A. 34 1984 Syzygies and the Rees algebra. Zbl 1151.13012Cox, David; Hoffman, J. William; Wang, Haohao 28 2008 Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174Cox, David A. 26 2001 Recent developments in toric geometry. Zbl 0899.14025Cox, David A. 26 1997 A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001Clark, 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. 25 2004 The functor of a smooth toric variety. Zbl 0828.14035Cox, David A. 24 1995 What is a toric variety? Zbl 1038.14021Cox, David 18 2003 A study of singularities on rational curves via syzygies. Zbl 1305.14014Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd 18 2013 The moving curve ideal and the Rees algebra. Zbl 1170.13004Cox, David A. 18 2008 Toric residues. Zbl 0904.14029Cox, David A. 18 1996 Toric varieties and toric resolutions. Zbl 0969.14035Cox, David A. 14 2000 Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A. 13 2003 Residues in toric varieties. Zbl 0883.14029Cattani, Eduardo; Cox, David; Dickenstein, Alicia 13 1997 Curves, surfaces, and syzygies. Zbl 1058.14072Cox, David 12 2003 Galois theory. Zbl 1057.12002Cox, David A. 12 2004 Galois theory. 2nd ed. Zbl 1247.12006Cox, David A. 11 2012 Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015Cox, David A.; Parry, Walter R. 11 1980 Variational Torelli implies generic Torelli. Zbl 0594.14011Cox, David; Donagi, Ron; Tu, Loring 10 1987 Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018Cox, David A. 10 1982 Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055Cox, David A. 10 2014 Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006Cox, David; Schenck, Hal 10 2003 Integer decomposition property of dilated polytopes. Zbl 1308.52012Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro 10 2014 Secant varieties of toric varieties. Zbl 1115.14045Cox, David; Sidman, Jessica 9 2007 Primitive collections and toric varieties. Zbl 1185.14045Cox, David A.; von Renesse, Christine 9 2009 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002Cox, David A. 9 2011 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500Cox, David A. 9 1997 A case study in bigraded commutative algebra. Zbl 1127.13002Cox, David; Dickenstein, Alicia; Schenck, Hal 7 2007 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 7 2004 Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041Cox, David A. 6 1989 Geometry and number theory on clovers. Zbl 1107.51007Cox, David A.; Shurman, Jerry 6 2005 The etale homotopy type of varieties over R. Zbl 0442.14004Cox, David A. 6 1979 Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028Cox, David A.; Parry, Walter R. 6 1984 The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017Cox, David A. 6 1990 The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001Bashmakova, I. G.; Smirnova, G. S. 6 2000 Codimension theorems for complete toric varieties. Zbl 1083.14058Cox, David; Dickenstein, Alicia 5 2005 Solving equations via algebras. Zbl 1152.13306Cox, David A. 5 2005 Tate resolutions for Segre embeddings. Zbl 1168.13009Cox, David A.; Materov, Evgeny 5 2008 Introduction to Fermat’s Last Theorem. Zbl 0849.11002Cox, David A. 5 1994 Performance indicators: good, bad, and ugly. Zbl 1114.62304Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C. 4 2005 Algebraic tubular neighborhoods. I. Zbl 0414.14005Cox, David A. 4 1978 Algebraic tubular neighborhoods. II. Zbl 0418.14012Cox, David A. 4 1978 Update on toric geometry. Zbl 1050.14001Cox, David A. 4 2002 Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel 4 2019 Mirror symmetry and polar duality of polytopes. Zbl 1377.14009Cox, David A. 4 2015 On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005Cox, David; Donagi, Ron 4 1986 On closed graphs. I. Zbl 1349.05282Cox, David A.; Erskine, Andrew 4 2015 Limited visibility cops and robber. Zbl 1441.05155Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E. 3 2020 Introduction to Gröbner bases. Zbl 0941.13018Cox, David A. 3 1998 What is the role of algebra in applied mathematics? Zbl 1114.00003Cox, David A. 3 2005 Universal rational parametrizations and toric varieties. Zbl 1080.14539Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 2 2003 Homotopy theory of simplicial schemes. Zbl 0385.14004Cox, David A. 2 1979 Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125Clarke, Patrick; Cox, David A. 2 2020 Regularity and Segre-Veronese embeddings. Zbl 1169.14012Cox, David A.; Materov, Evgeny 2 2009 Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039 2 1998 Strata of rational space curves. Zbl 1417.14009Cox, David A.; Iarrobino, Anthony A. 2 2015 Tate resolutions and Weyman complexes. Zbl 1228.14013Cox, David A.; Materov, Evgeny 1 2011 Representations associated with elliptic surfaces. Zbl 0582.14013Cox, David A.; Parry, Walter R. 1 1984 Solutions of Weierstrass equations. Zbl 0438.14019Cox, David A. 1 1979 Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007Cox, David A.; Green, Mark L. 1 1990 Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002Kunz, Ernst 1 2008 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013Cox, David A. 1 2009 Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001Cox, David A. 1 2020 Transfinite diameter on complex algebraic varieties. Zbl 1375.32054Cox, David A.; Ma’u, Sione 1 2017 The Galois theory of the lemniscate. Zbl 1385.11040Cox, David A.; Hyde, Trevor 1 2014 Virtual fundamental classes of zero loci. Zbl 1065.14014Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin 1 2001 Calculus in context: the five college calculus project. Zbl 0874.26002Callahan, James; Cox, David; Hoffman, Kenneth; O’Shea, Donal; Pollatsek, Harriet; Senechal, Lester 1 1995 Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018Cox, David A. 1 1976 Limited visibility cops and robber. Zbl 1441.05155Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E. 3 2020 Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125Clarke, Patrick; Cox, David A. 2 2020 Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001Cox, David A. 1 2020 Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel 4 2019 Transfinite diameter on complex algebraic varieties. Zbl 1375.32054Cox, David A.; Ma’u, Sione 1 2017 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 4th revised ed. Zbl 1335.13001Cox, David A.; Little, John; O’Shea, Donal 93 2015 Mirror symmetry and polar duality of polytopes. Zbl 1377.14009Cox, David A. 4 2015 On closed graphs. I. Zbl 1349.05282Cox, David A.; Erskine, Andrew 4 2015 Strata of rational space curves. Zbl 1417.14009Cox, David A.; Iarrobino, Anthony A. 2 2015 Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055Cox, David A. 10 2014 Integer decomposition property of dilated polytopes. Zbl 1308.52012Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro 10 2014 The Galois theory of the lemniscate. Zbl 1385.11040Cox, David A.; Hyde, Trevor 1 2014 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002Cox, David A. 48 2013 A study of singularities on rational curves via syzygies. Zbl 1305.14014Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd 18 2013 Galois theory. 2nd ed. Zbl 1247.12006Cox, David A. 11 2012 Toric varieties. Zbl 1223.14001Cox, David A.; Little, John B.; Schenck, Henry K. 477 2011 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002Cox, David A. 9 2011 Tate resolutions and Weyman complexes. Zbl 1228.14013Cox, David A.; Materov, Evgeny 1 2011 Primitive collections and toric varieties. Zbl 1185.14045Cox, David A.; von Renesse, Christine 9 2009 Regularity and Segre-Veronese embeddings. Zbl 1169.14012Cox, David A.; Materov, Evgeny 2 2009 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013Cox, David A. 1 2009 Syzygies and the Rees algebra. Zbl 1151.13012Cox, David; Hoffman, J. William; Wang, Haohao 28 2008 The moving curve ideal and the Rees algebra. Zbl 1170.13004Cox, David A. 18 2008 Tate resolutions for Segre embeddings. Zbl 1168.13009Cox, David A.; Materov, Evgeny 5 2008 Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002Kunz, Ernst 1 2008 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001Cox, David; Little, John; O’Shea, Donal 260 2007 Secant varieties of toric varieties. Zbl 1115.14045Cox, David; Sidman, Jessica 9 2007 A case study in bigraded commutative algebra. Zbl 1127.13002Cox, David; Dickenstein, Alicia; Schenck, Hal 7 2007 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 141 2005 The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054Chen, Falai; Cox, David; Liu, Yang 35 2005 Geometry and number theory on clovers. Zbl 1107.51007Cox, David A.; Shurman, Jerry 6 2005 Codimension theorems for complete toric varieties. Zbl 1083.14058Cox, David; Dickenstein, Alicia 5 2005 Solving equations via algebras. Zbl 1152.13306Cox, David A. 5 2005 Performance indicators: good, bad, and ugly. Zbl 1114.62304Bird, Sheila M.; Cox, David; Farewell, Vern T.; Goldstein, Harvey; Holt, Tim; Smith, Peter C. 4 2005 What is the role of algebra in applied mathematics? Zbl 1114.00003Cox, David A. 3 2005 A modern course in aeroelasticity. 4th revised and enlarged edition. Zbl 1078.74001Clark, 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. 25 2004 Galois theory. Zbl 1057.12002Cox, David A. 12 2004 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 7 2004 Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066Busé, Laurent; Cox, David; D’Andrea, Carlos 35 2003 What is a toric variety? Zbl 1038.14021Cox, David 18 2003 Implicitizing rational surfaces with base points using the method of moving surfaces. Zbl 1058.14074Zheng, Jianmin; Sederberg, Thomas W.; Chionh, Eng-Wee; Cox, David A. 13 2003 Curves, surfaces, and syzygies. Zbl 1058.14072Cox, David 12 2003 Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006Cox, David; Schenck, Hal 10 2003 Universal rational parametrizations and toric varieties. Zbl 1080.14539Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 2 2003 Update on toric geometry. Zbl 1050.14001Cox, David A. 4 2002 Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174Cox, David A. 26 2001 Virtual fundamental classes of zero loci. Zbl 1065.14014Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin 1 2001 On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124Cox, David; Goldman, Ronald; Zhang, Ming 39 2000 Toric varieties and toric resolutions. Zbl 0969.14035Cox, David A. 14 2000 The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001Bashmakova, I. G.; Smirnova, G. S. 6 2000 Mirror symmetry and algebraic geometry. Zbl 0951.14026Cox, David A.; Katz, Sheldon 222 1999 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 222 1998 The moving line ideal basis of planar rational curves. Zbl 0908.68174Cox, David A.; Sederberg, Thomas W.; Chen, Falai 75 1998 Introduction to Gröbner bases. Zbl 0941.13018Cox, 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 0899.14025Cox, David A. 26 1997 Residues in toric varieties. Zbl 0883.14029Cattani, Eduardo; Cox, David; Dickenstein, Alicia 13 1997 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500Cox, David A. 9 1997 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012Cox, David; Little, John; O’Shea, Donal 50 1996 Toric residues. Zbl 0904.14029Cox, David A. 18 1996 The homogeneous coordinate ring of a toric variety. Zbl 0846.14032Cox, David A. 280 1995 The functor of a smooth toric variety. Zbl 0828.14035Cox, David A. 24 1995 Calculus in context: the five college calculus project. Zbl 0874.26002Callahan, 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 0851.14021Batyrev, Victor V.; Cox, David A. 73 1994 Introduction to Fermat’s Last Theorem. Zbl 0849.11002Cox, David A. 5 1994 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017Cox, David; Little, John; O’Shea, Donal 198 1992 The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017Cox, David A. 6 1990 Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007Cox, David A.; Green, Mark L. 1 1990 Primes of the form \(x^ 2+ny^ 2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001Cox, David A. 152 1989 Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041Cox, David A. 6 1989 Variational Torelli implies generic Torelli. Zbl 0594.14011Cox, David; Donagi, Ron; Tu, Loring 10 1987 On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005Cox, David; Donagi, Ron 4 1986 The arithmetic-geometric mean of Gauss. Zbl 0583.33002Cox, David A. 34 1984 Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028Cox, David A.; Parry, Walter R. 6 1984 Representations associated with elliptic surfaces. Zbl 0582.14013Cox, David A.; Parry, Walter R. 1 1984 Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018Cox, David A. 10 1982 Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015Cox, David A.; Parry, Walter R. 11 1980 Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004Cox, David A.; Zucker, Steven 37 1979 The etale homotopy type of varieties over R. Zbl 0442.14004Cox, David A. 6 1979 Homotopy theory of simplicial schemes. Zbl 0385.14004Cox, David A. 2 1979 Solutions of Weierstrass equations. Zbl 0438.14019Cox, David A. 1 1979 Algebraic tubular neighborhoods. I. Zbl 0414.14005Cox, David A. 4 1978 Algebraic tubular neighborhoods. II. Zbl 0418.14012Cox, David A. 4 1978 Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018Cox, David A. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 3,074 Authors 20 Busé, Laurent 20 Cox, David A. 20 D’Andrea, Carlos 20 Goldman, Ronald N. 18 Chen, Falai 17 Hashemi, Amir 16 Hausen, Jürgen 16 Michałek, Mateusz 15 Hibi, Takayuki 14 Koo, Jakyung 14 Qi, Liqun 12 Arzhantsev, Ivan Vladimirovich 12 Shen, Liyong 12 Sturmfels, Bernd 12 Wang, Haohao 11 Mourrain, Bernard 11 Pérez-Díaz, Sonia 11 Sendra, Juan Rafael 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 Seiler, Werner M. 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 Tohǎneanu, Ştefan O. 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 Tsigaridas, Elias P. 7 Velasco, Mauricio 7 Villarreal, Rafael Heraclio 7 Walther, Uli 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 Mariño, Marcos 6 Masuda, Mikiya 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 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 ...and 2,974 more Authors all top 5 Cited in 418 Serials 165 Journal of Symbolic Computation 124 Journal of Algebra 88 Advances in Mathematics 60 Proceedings of the American Mathematical Society 60 Transactions of the American Mathematical Society 56 Journal of Pure and Applied Algebra 53 Computer Aided Geometric Design 50 Journal of High Energy Physics 43 Mathematics of Computation 38 Mathematische Zeitschrift 34 Duke Mathematical Journal 30 Linear Algebra and its Applications 29 Journal of Number Theory 28 Communications in Mathematical Physics 28 Annales de l’Institut Fourier 28 The Ramanujan Journal 27 Communications in Algebra 24 Journal of Algebraic Geometry 23 Tohoku Mathematical Journal. Second Series 22 Nuclear Physics. B 21 Discrete & Computational Geometry 21 Journal de Théorie des Nombres de Bordeaux 21 Mathematics in Computer Science 20 Mathematische Annalen 19 Manuscripta Mathematica 17 Journal of Geometry and Physics 17 Journal für die Reine und Angewandte Mathematik 17 Designs, Codes and Cryptography 17 Journal of Systems Science and Complexity 16 Compositio Mathematica 16 Advances in Applied Mathematics 15 Journal of Combinatorial Theory. Series A 15 Journal of Computational and Applied Mathematics 15 Journal of Differential Equations 15 Journal of Algebraic Combinatorics 14 Journal of Mathematical Analysis and Applications 14 Proceedings of the Japan Academy. Series A 14 Journal of the American Mathematical Society 14 Applicable Algebra in Engineering, Communication and Computing 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 Imaging and Vision 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 Topology and its Applications 8 European Journal of Combinatorics 8 International Journal of Algebra and Computation 8 International Journal of Number Theory 7 Mathematical Notes 7 Geometriae Dedicata 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 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 Annals of Mathematics and Artificial Intelligence 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 ...and 318 more Serials all top 5 Cited in 62 Fields 1,317 Algebraic geometry (14-XX) 597 Commutative algebra (13-XX) 363 Number theory (11-XX) 279 Computer science (68-XX) 197 Numerical analysis (65-XX) 172 Convex and discrete geometry (52-XX) 162 Combinatorics (05-XX) 148 Several complex variables and analytic spaces (32-XX) 147 Differential geometry (53-XX) 132 Quantum theory (81-XX) 97 Information and communication theory, circuits (94-XX) 87 Field theory and polynomials (12-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 75 Group theory and generalizations (20-XX) 69 Dynamical systems and ergodic theory (37-XX) 68 Ordinary differential equations (34-XX) 66 Associative rings and algebras (16-XX) 54 Manifolds and cell complexes (57-XX) 50 Operations research, mathematical programming (90-XX) 46 Special functions (33-XX) 46 Partial differential equations (35-XX) 46 Relativity and gravitational theory (83-XX) 45 Algebraic topology (55-XX) 45 Statistics (62-XX) 44 Nonassociative rings and algebras (17-XX) 40 Systems theory; control (93-XX) 39 Biology and other natural sciences (92-XX) 31 Mechanics of deformable solids (74-XX) 30 Mechanics of particles and systems (70-XX) 29 Geometry (51-XX) 28 Category theory; homological algebra (18-XX) 28 Approximations and expansions (41-XX) 26 Real functions (26-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Functions of a complex variable (30-XX) 22 Fluid mechanics (76-XX) 21 Mathematical logic and foundations (03-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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