Edit Profile (opens in new tab) Cox, David A. Co-Author Distance 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 4 Contributions as Editor · 3 Further Contributions Co-Authors: 73 Co-Authors with 56 Joint Publications 1,695 Co-Co-Authors all top 5 Co-Authors 43 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 Messinger, Margaret-Ellen 3 Parry, Walter R. 2 Chen, Falai 2 Clarke, Nancy Ellen 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 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, Harold Mortimer jun. 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 Lipsett, Roger 1 Liu, Yang 1 Ma’u, Sione 1 Mc Inerney, Fionn 1 Mcgiffen, T. 1 McKay, John 1 Meger, Erin 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. ...and 6 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 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 Discrete Applied Mathematics 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 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 La Matematica 1 AMS Chelsea Publishing all top 5 Fields 68 Algebraic geometry (14-XX) 32 Commutative algebra (13-XX) 16 Number theory (11-XX) 11 Computer science (68-XX) 10 Several complex variables and analytic spaces (32-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-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 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 Game theory, economics, finance, and other social and behavioral sciences (91-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 86 Publications have been cited 3,796 times in 3,179 Documents Cited by ▼ Year ▼ Toric varieties. Zbl 1223.14001Cox, David A.; Little, John B.; Schenck, Henry K. 662 2011 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 3rd ed. Zbl 1118.13001Cox, David; Little, John; O’Shea, Donal 331 2007 The homogeneous coordinate ring of a toric variety. Zbl 0846.14032Cox, David A. 316 1995 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 290 1998 Mirror symmetry and algebraic geometry. Zbl 0951.14026Cox, David A.; Katz, Sheldon 271 1999 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. Zbl 0756.13017Cox, David; Little, John; O’Shea, Donal 245 1992 Primes of the form \(x^2+ny^2\). Fermat, class field theory and complex multiplication. Zbl 0701.11001Cox, David A. 207 1989 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 202 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 168 2015 Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra. 2nd ed. Zbl 0861.13012Cox, David; Little, John; O’Shea, Donal 96 1996 On the Hodge structure of projective hypersurfaces in toric varieties. Zbl 0851.14021Batyrev, Victor V.; Cox, David A. 84 1994 The moving line ideal basis of planar rational curves. Zbl 0908.68174Cox, David A.; Sederberg, Thomas W.; Chen, Falai 80 1998 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. 2nd ed. Zbl 1275.11002Cox, David A. 77 2013 On the validity of implicitization by moving quadrics for rational surfaces with no base points. Zbl 0959.68124Cox, David; Goldman, Ronald; Zhang, Ming 42 2000 Intersection numbers of sections of elliptic surfaces. Zbl 0444.14004Cox, David A.; Zucker, Steven 40 1979 Implicitization of surfaces in \({\mathbb P}^ 3\) in the presence of base points. Zbl 1068.14066Busé, Laurent; Cox, David; D’Andrea, Carlos 40 2003 The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054Chen, Falai; Cox, David; Liu, Yang 38 2005 The arithmetic-geometric mean of Gauss. Zbl 0583.33002Cox, David A. 35 1984 Equations of parametric curves and surfaces via syzygies. Zbl 1009.68174Cox, David A. 30 2001 Recent developments in toric geometry. Zbl 0899.14025Cox, David A. 30 1997 Syzygies and the Rees algebra. Zbl 1151.13012Cox, David; Hoffman, J. William; Wang, Haohao 30 2008 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. 27 2004 The functor of a smooth toric variety. Zbl 0828.14035Cox, David A. 27 1995 What is a toric variety? Zbl 1038.14021Cox, David 20 2003 The moving curve ideal and the Rees algebra. Zbl 1170.13004Cox, David A. 20 2008 Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055Cox, David A. 19 2014 A study of singularities on rational curves via syzygies. Zbl 1305.14014Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd 19 2013 Toric residues. Zbl 0904.14029Cox, David A. 19 1996 Curves, surfaces, and syzygies. Zbl 1058.14072Cox, David 16 2003 Galois theory. 2nd ed. Zbl 1247.12006Cox, David A. 16 2012 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. 15 2003 Toric varieties and toric resolutions. Zbl 0969.14035Cox, David A. 15 2000 Residues in toric varieties. Zbl 0883.14029Cattani, Eduardo; Cox, David; Dickenstein, Alicia 14 1997 Galois theory. Zbl 1057.12002Cox, David A. 14 2004 Integer decomposition property of dilated polytopes. Zbl 1308.52012Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro 12 2014 Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1. Zbl 0503.14018Cox, David A. 12 1982 Torsion in elliptic curves over \(k(t)\). Zbl 0442.14015Cox, David A.; Parry, Walter R. 11 1980 Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006Cox, David; Schenck, Hal 11 2003 Secant varieties of toric varieties. Zbl 1115.14045Cox, David; Sidman, Jessica 11 2007 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500Cox, David A. 10 1997 Primitive collections and toric varieties. Zbl 1185.14045Cox, David A.; von Renesse, Christine 10 2009 Variational Torelli implies generic Torelli. Zbl 0594.14011Cox, David; Donagi, Ron; Tu, Loring 10 1987 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002Cox, David A. 10 2011 A case study in bigraded commutative algebra. Zbl 1127.13002Cox, David; Dickenstein, Alicia; Schenck, Hal 8 2007 The etale homotopy type of varieties over R. Zbl 0442.14004Cox, David A. 7 1979 Geometry and number theory on clovers. Zbl 1107.51007Cox, David A.; Shurman, Jerry 7 2005 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 7 2004 Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel 7 2019 Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041Cox, David A. 7 1989 The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017Cox, David A. 7 1990 Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028Cox, David A.; Parry, Walter R. 7 1984 Codimension theorems for complete toric varieties. Zbl 1083.14058Cox, David; Dickenstein, Alicia 6 2005 Solving equations via algebras. Zbl 1152.13306Cox, David A. 6 2005 The beginnings and evolution of algebra. Transl. from the Russian by Abe Shenitzer with the editorial assistance of David A. Cox. Zbl 0942.01001Bashmakova, I. G.; Smirnova, G. S. 6 2000 On closed graphs. I. Zbl 1349.05282Cox, David A.; Erskine, Andrew 5 2015 Introduction to Fermat’s Last Theorem. Zbl 0849.11002Cox, David A. 5 1994 Tate resolutions for Segre embeddings. Zbl 1168.13009Cox, David A.; Materov, Evgeny 5 2008 Update on toric geometry. Zbl 1050.14001Cox, David A. 4 2002 Algebraic tubular neighborhoods. II. Zbl 0418.14012Cox, David A. 4 1978 Algebraic tubular neighborhoods. I. Zbl 0414.14005Cox, David A. 4 1978 On the failure of variational Torelli for regular elliptic surfaces with a section. Zbl 0566.14005Cox, David; Donagi, Ron 4 1986 Mirror symmetry and polar duality of polytopes. Zbl 1377.14009Cox, David A. 4 2015 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 Limited visibility cops and robber. Zbl 1441.05155Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E. 4 2020 Introduction to Gröbner bases. Zbl 0941.13018Cox, David A. 3 1998 Universal rational parametrizations and toric varieties. Zbl 1080.14539Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 3 2003 What is the role of algebra in applied mathematics? Zbl 1114.00003Cox, David A. 3 2005 Strata of rational space curves. Zbl 1417.14009Cox, David A.; Iarrobino, Anthony A. 3 2015 Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125Clarke, Patrick; Cox, David A. 3 2020 Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Zbl 0880.00039 2 1998 Residues and duality for projective algebraic varieties. With the assistance of and contributions by David A. Cox and Alicia Dickenstein. Zbl 1180.14002Kunz, Ernst 2 2008 Homotopy theory of simplicial schemes. Zbl 0385.14004Cox, David A. 2 1979 Regularity and Segre-Veronese embeddings. Zbl 1169.14012Cox, David A.; Materov, Evgeny 2 2009 Transfinite diameter on complex algebraic varieties. Zbl 1375.32054Cox, David A.; Ma’u, Sione 2 2017 Stickelberger and the eigenvalue theorem. Zbl 1498.13067Cox, David A. 2 2021 Applications of polynomial systems. With contributions by Carlos D’Andrea, Alicia Dickenstein, Jonathan Hauenstein, Hal Schenck, and Jessica Sidman. Zbl 1469.13001Cox, David A. 2 2020 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1191.01013Cox, David A. 1 2009 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 Solutions of Weierstrass equations. Zbl 0438.14019Cox, David A. 1 1979 Virtual fundamental classes of zero loci. Zbl 1065.14014Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin 1 2001 Homotopy limits and the homotopy type of functor categories. Zbl 0346.18018Cox, David A. 1 1976 Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008Abrevaya, 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 Representations associated with elliptic surfaces. Zbl 0582.14013Cox, David A.; Parry, Walter R. 1 1984 The Galois theory of the lemniscate. Zbl 1385.11040Cox, David A.; Hyde, Trevor 1 2014 Tate resolutions and Weyman complexes. Zbl 1228.14013Cox, David A.; Materov, Evgeny 1 2011 Polynomial structures and generic Torelli for projective hypersurfaces. Zbl 0725.14007Cox, David A.; Green, Mark L. 1 1990 Stickelberger and the eigenvalue theorem. Zbl 1498.13067Cox, David A. 2 2021 Learning brain dynamics with coupled low-dimensional nonlinear oscillators and deep recurrent networks. Zbl 1483.92008Abrevaya, 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 Limited visibility cops and robber. Zbl 1441.05155Clarke, N. E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S. L.; Messinger, M. E. 4 2020 Moment maps, strict linear precision, and maximum likelihood degree one. Zbl 1453.14125Clarke, Patrick; Cox, David A. 3 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. 2 2020 Multi-Rees algebras and toric dynamical systems. Zbl 1429.13006Cox, David A.; Lin, Kuei-Nuan; Sosa, Gabriel 7 2019 Transfinite diameter on complex algebraic varieties. Zbl 1375.32054Cox, David A.; Ma’u, Sione 2 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 168 2015 On closed graphs. I. Zbl 1349.05282Cox, David A.; Erskine, Andrew 5 2015 Mirror symmetry and polar duality of polytopes. Zbl 1377.14009Cox, David A. 4 2015 Strata of rational space curves. Zbl 1417.14009Cox, David A.; Iarrobino, Anthony A. 3 2015 Erratum to “The homogeneous coordinate ring of a toric variety”. Zbl 1285.14055Cox, David A. 19 2014 Integer decomposition property of dilated polytopes. Zbl 1308.52012Cox, David A.; Haase, Christian; Hibi, Takayuki; Higashitani, Akihiro 12 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. 77 2013 A study of singularities on rational curves via syzygies. Zbl 1305.14014Cox, David; Kustin, Andrew R.; Polini, Claudia; Ulrich, Bernd 19 2013 Galois theory. 2nd ed. Zbl 1247.12006Cox, David A. 16 2012 Toric varieties. Zbl 1223.14001Cox, David A.; Little, John B.; Schenck, Henry K. 662 2011 Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first. Zbl 1225.11002Cox, David A. 10 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 10 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 30 2008 The moving curve ideal and the Rees algebra. Zbl 1170.13004Cox, David A. 20 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 2 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 331 2007 Secant varieties of toric varieties. Zbl 1115.14045Cox, David; Sidman, Jessica 11 2007 A case study in bigraded commutative algebra. Zbl 1127.13002Cox, David; Dickenstein, Alicia; Schenck, Hal 8 2007 Using algebraic geometry. 2nd ed. Zbl 1079.13017Cox, David A.; Little, John; O’Shea, Donal 202 2005 The \(\mu \)-basis and implicitization of a rational parametric surface. Zbl 1120.14054Chen, Falai; Cox, David; Liu, Yang 38 2005 Geometry and number theory on clovers. Zbl 1107.51007Cox, David A.; Shurman, Jerry 7 2005 Codimension theorems for complete toric varieties. Zbl 1083.14058Cox, David; Dickenstein, Alicia 6 2005 Solving equations via algebras. Zbl 1152.13306Cox, David A. 6 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. 27 2004 Galois theory. Zbl 1057.12002Cox, David A. 14 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 40 2003 What is a toric variety? Zbl 1038.14021Cox, David 20 2003 Curves, surfaces, and syzygies. Zbl 1058.14072Cox, David 16 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. 15 2003 Local complete intersections in \(\mathbb{P}^2\) and Koszul syzygies. Zbl 1075.13006Cox, David; Schenck, Hal 11 2003 Universal rational parametrizations and toric varieties. Zbl 1080.14539Cox, David; Krasauskas, Rimvydas; Mustaţǎ, Mircea 3 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. 30 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 42 2000 Toric varieties and toric resolutions. Zbl 0969.14035Cox, David A. 15 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 271 1999 Using algebraic geometry. Zbl 0920.13026Cox, David; Little, John; O’Shea, Donal 290 1998 The moving line ideal basis of planar rational curves. Zbl 0908.68174Cox, David A.; Sederberg, Thomas W.; Chen, Falai 80 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. 30 1997 Residues in toric varieties. Zbl 0883.14029Cattani, Eduardo; Cox, David; Dickenstein, Alicia 14 1997 Primes of the form \(x^2+ny^2\). Fermat, class field theory, and complex multiplication. Paperback ed. Zbl 0956.11500Cox, David A. 10 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 96 1996 Toric residues. Zbl 0904.14029Cox, David A. 19 1996 The homogeneous coordinate ring of a toric variety. Zbl 0846.14032Cox, David A. 316 1995 The functor of a smooth toric variety. Zbl 0828.14035Cox, David A. 27 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. 84 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 245 1992 The Noether-Lefschetz locus of regular elliptic surfaces with section and \(p_ g\geq 2\). Zbl 0721.14017Cox, David A. 7 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. 207 1989 Picard numbers of surfaces in 3-dimensional weighted projective spaces. Zbl 0686.14041Cox, David A. 7 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. 35 1984 Genera of congruence subgroups in \({\mathbb{Q}}\)-quaternion algebras. Zbl 0531.10028Cox, David A.; Parry, Walter R. 7 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. 12 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 40 1979 The etale homotopy type of varieties over R. Zbl 0442.14004Cox, David A. 7 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. II. Zbl 0418.14012Cox, David A. 4 1978 Algebraic tubular neighborhoods. I. Zbl 0414.14005Cox, 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 3,913 Authors 24 D’Andrea, Carlos 23 Busé, Laurent 23 Cox, David A. 21 Hashemi, Amir 21 Koo, Jakyung 20 Goldman, Ronald N. 20 Michałek, Mateusz 18 Chen, Falai 18 Hausen, Jürgen 18 Shin, Dong Hwa 16 Mourrain, Bernard 16 Sturmfels, Bernd 15 Hibi, Takayuki 15 Sendra, Juan Rafael 14 Arzhantsev, Ivan Vladimirovich 14 Faugère, Jean-Charles 14 Pérez-Díaz, Sonia 14 Qi, Liqun 13 Jung, Ho Yun 13 Seiler, Werner M. 13 Shen, Liyong 13 Wang, Haohao 12 Laface, Antonio 12 Webster, Justin T. 11 Emiris, Ioannis Z. 11 Gao, Xiaoshan 11 He, Yang-Hui Evariste 11 Klemm, Albrecht 11 Sharir, Micha 11 Sottile, Frank 11 Wang, Dingkang 11 Yuan, Chunming 10 Bruzzo, Ugo 10 Castryck, Wouter 10 Safey El Din, Mohab 10 Simis, Aron 10 Tsuchiya, Akiyoshi 9 Chardin, Marc 9 Chen, Yuqun 9 Dickenstein, Alicia M. 9 García, Isaac A. 9 Hauenstein, Jonathan D. 9 Hoffman, Jerome William 9 Iritani, Hiroshi 9 Jia, Xiaohong 9 Morton, Patrick 9 Ohsugi, Hidefumi 9 Rietsch, Konstanze 9 Rossi, Michele 9 Sauer, Tomas 9 Tohǎneanu, Ştefan O. 9 Yoon, Dong Sung 8 Doran, Charles F. 8 Jeronimo, Gabriela 8 Kapur, Deepak 8 Katzarkov, Ludmil 8 Kreuzer, Maximilian 8 Lasiecka, Irena 8 Lu, Dong 8 Nill, Benjamin 8 Schenck, Hal 8 Smith, Gregory G. 8 Villarreal, Rafael Heraclio 8 Walther, Uli 7 Botbol, Nicolás 7 Cortadellas Benítez, Teresa 7 de Graaf, Willem Adriaan 7 De Loera, Jesús A. 7 Geil, Olav 7 Gubeladze, Joseph 7 Helmer, Martin 7 Higashitani, Akihiro 7 Hong, Hoon 7 Ilten, Nathan Owen 7 Jockers, Hans 7 Kim, Chang Heon 7 Lee, Seungjoo 7 Liendo, Alvaro 7 Lin, Kuei-Nuan 7 Masuda, Mikiya 7 Nie, Jiawang 7 Rouillier, Fabrice 7 Skarke, Harald 7 Song, Jongbaek 7 Soprunov, Ivan 7 Tseng, Hsian-Hua 7 Tsigaridas, Elias P. 7 Velasco, Mauricio 7 Wang, Dongming 7 Wang, Xuhui 7 Weigand, Timo 6 Bokut, Leonid A. 6 Borisov, Lev A. 6 Brini, Andrea 6 Castillo, Federico 6 Dimca, Alexandru 6 Donagi, Ron Y. 6 Duarte, Daniel C. S. 6 Fujita, Naoki 6 Gatermann, Karin ...and 3,813 more Authors all top 5 Cited in 482 Serials 201 Journal of Symbolic Computation 138 Journal of Algebra 100 Journal of High Energy Physics 99 Advances in Mathematics 64 Proceedings of the American Mathematical Society 62 Transactions of the American Mathematical Society 61 Journal of Pure and Applied Algebra 57 Journal of Number Theory 53 Computer Aided Geometric Design 51 Mathematics of Computation 44 Mathematische Zeitschrift 37 Duke Mathematical Journal 34 Communications in Mathematical Physics 32 Linear Algebra and its Applications 31 Communications in Algebra 31 Annales de l’Institut Fourier 30 The Ramanujan Journal 28 Designs, Codes and Cryptography 26 Nuclear Physics. B 25 Manuscripta Mathematica 25 Journal of Algebraic Geometry 25 Mathematics in Computer Science 24 Journal of Geometry and Physics 24 Mathematische Annalen 24 Discrete & Computational Geometry 23 Tôhoku Mathematical Journal. Second Series 23 Journal de Théorie des Nombres de Bordeaux 21 Journal of Computational and Applied Mathematics 21 Journal für die Reine und Angewandte Mathematik 21 Advances in Applied Mathematics 20 Compositio Mathematica 20 Journal of Algebraic Combinatorics 19 Applicable Algebra in Engineering, Communication and Computing 19 Journal of Systems Science and Complexity 18 Applied Mathematics and Computation 18 The Electronic Journal of Combinatorics 17 Journal of Mathematical Analysis and Applications 17 Selecta Mathematica. New Series 16 Journal of the London Mathematical Society. Second Series 16 Transformation Groups 15 Journal of Combinatorial Theory. Series A 15 Journal of Differential Equations 15 Journal of the American Mathematical Society 15 Foundations of Computational Mathematics 15 Journal of Algebra and its Applications 15 Journal of Commutative Algebra 15 Science China. Mathematics 14 Proceedings of the Japan Academy. Series A 14 SIAM Journal on Applied Algebra and Geometry 13 Theoretical Computer Science 13 International Journal of Mathematics 13 Finite Fields and their Applications 13 European Journal of Mathematics 12 Rocky Mountain Journal of Mathematics 12 Inventiones Mathematicae 12 Michigan Mathematical Journal 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Collectanea Mathematica 11 Results in Mathematics 11 Forum Mathematicum 11 Bulletin of the American Mathematical Society. New Series 11 International Journal of Number Theory 10 Israel Journal of Mathematics 10 Beiträge zur Algebra und Geometrie 10 Nagoya Mathematical Journal 10 International Journal of Algebra and Computation 10 Journal of Mathematical Sciences (New York) 10 Proceedings of the Steklov Institute of Mathematics 9 Archiv der Mathematik 9 Topology and its Applications 9 European Journal of Combinatorics 9 Mathematical Programming. Series A. Series B 9 Journal of Mathematical Imaging and Vision 9 Geometry & Topology 9 Communications in Contemporary Mathematics 9 Algebra & Number Theory 9 Research in Number Theory 8 Discrete Applied Mathematics 8 Mathematical Notes 8 Geometriae Dedicata 8 Mathematische Nachrichten 8 SIAM Journal on Discrete Mathematics 8 Journal of the European Mathematical Society (JEMS) 7 Letters in Mathematical Physics 7 Bulletin of the London Mathematical Society 7 Acta Applicandae Mathematicae 7 Expositiones Mathematicae 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Experimental Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Open Mathematics 7 Algebraic Combinatorics 6 Journal of Mathematical Physics 6 Canadian Journal of Mathematics 6 Journal of the Mathematical Society of Japan 6 Osaka Journal of Mathematics 6 Proceedings of the London Mathematical Society. Third Series 6 Programming and Computer Software 6 Semigroup Forum ...and 382 more Serials all top 5 Cited in 62 Fields 1,653 Algebraic geometry (14-XX) 746 Commutative algebra (13-XX) 494 Number theory (11-XX) 373 Computer science (68-XX) 242 Numerical analysis (65-XX) 235 Convex and discrete geometry (52-XX) 224 Combinatorics (05-XX) 206 Quantum theory (81-XX) 190 Differential geometry (53-XX) 182 Several complex variables and analytic spaces (32-XX) 141 Information and communication theory, circuits (94-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 104 Field theory and polynomials (12-XX) 101 Group theory and generalizations (20-XX) 87 Ordinary differential equations (34-XX) 78 Dynamical systems and ergodic theory (37-XX) 77 Associative rings and algebras (16-XX) 72 Manifolds and cell complexes (57-XX) 66 Operations research, mathematical programming (90-XX) 58 Statistics (62-XX) 58 Relativity and gravitational theory (83-XX) 57 Algebraic topology (55-XX) 55 Special functions (33-XX) 54 Nonassociative rings and algebras (17-XX) 51 Partial differential equations (35-XX) 50 Biology and other natural sciences (92-XX) 49 Systems theory; control (93-XX) 43 Mechanics of particles and systems (70-XX) 40 Approximations and expansions (41-XX) 38 Geometry (51-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Mechanics of deformable solids (74-XX) 32 Real functions (26-XX) 29 Category theory; homological algebra (18-XX) 27 Mathematical logic and foundations (03-XX) 26 Functions of a complex variable (30-XX) 26 Fluid mechanics (76-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 23 \(K\)-theory (19-XX) 23 Probability theory and stochastic processes (60-XX) 20 Topological groups, Lie groups (22-XX) 19 Operator theory (47-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Difference and functional equations (39-XX) 11 History and biography (01-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 7 Sequences, series, summability (40-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Integral transforms, operational calculus (44-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Mathematics education (97-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 3 General algebraic systems (08-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-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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