Edit Profile (opens in new tab) Kolchin, Ellis Robert Co-Author Distance Author ID: kolchin.ellis-robert Published as: Kolchin, E. R.; Kolchin, Ellis; Kolchin, Ellis Robert; Kolchin, E. more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 38 Publications since 1939, including 3 Books Biographic References: 2 Publications Co-Authors: 4 Co-Authors with 6 Joint Publications 46 Co-Co-Authors all top 5 Co-Authors 31 single-authored 2 Lang, Serge 2 Ritt, Joseph Fels 1 Bass, Hyman 1 Buium, Alexandru 1 Cassidy, Phyllis Joan 1 Chevalley, Claude 1 Poizat, Bruno Petrovich 1 Singer, Michael F. 1 Soundararajan, T. all top 5 Serials 7 Bulletin of the American Mathematical Society 6 American Journal of Mathematics 6 Annals of Mathematics. Second Series 4 Proceedings of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Pure and Applied Mathematics (Academic Press) 1 Advances in Mathematics 1 Pacific Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society all top 5 Fields 16 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 2 Nonassociative rings and algebras (17-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 960 times in 756 Documents Cited by ▼ Year ▼ Differential algebra and algebraic groups. Zbl 0264.12102Kolchin, E. R. 553 1973 Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.18701Kolchin, E. R. 65 1948 Algebraic groups and algebraic dependence. Zbl 0169.36701Kolchin, E. R. 61 1968 Differential algebraic groups. Zbl 0556.12006Kolchin, E. R. 52 1985 Galois theory of differential fields. Zbl 0052.27301Kolchin, E. R. 33 1953 The notion of dimension in the theory of algebraic differential equations. Zbl 0144.03702Kolchin, E. R. 30 1964 Constrained extensions of differential fields. Zbl 0279.12103Kolchin, E. R. 26 1974 On certain concepts in the theory of algebraic matric groups. Zbl 0037.18801Kolchin, E. R. 21 1948 Extensions of differential fields. I, II. Zbl 0060.08105Kolchin, E. R. 13 1944 Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. Zbl 0930.12004Kolchin, Ellis 11 1999 Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.06601Kolchin, E. R. 10 1948 Rational approximation to solutions of algebraic differential equations. Zbl 0092.27302Kolchin, E. R. 10 1959 Picard-Vessiot theory of partial differential fields. Zbl 0047.33303Kolchin, E. R. 9 1952 On the Galois theory of differential fields. Zbl 0067.27004Kolchin, E. R. 8 1955 Extensions of differential fields. III. Zbl 0037.18601Kolchin, E. R. 7 1947 Differential equations in a projective space and linear dependence over a projective variety. Zbl 0292.14009Kolchin, E. R. 6 1974 Algebraic matric groups. Zbl 0063.03290Kolchin, E. R. 5 1946 Existence of invariant bases. Zbl 0118.04601Kolchin, Ellis; Lang, Serge 5 1960 A problem on differential polynomials. Zbl 0759.12002Kolchin, E. R. 5 1992 Extensions of differential fields. II. Zbl 0063.03289Kolchin, E. R. 4 1944 On the exponents of differential ideals. JFM 67.0090.05Kolchin, E. R. 4 1941 Differential algebraic groups. Zbl 0593.14028Kolchin, E. R. 3 1986 Two proofs of a theorem on algebraic groups. Zbl 0042.25502Chevalley, Claude; Kolchin, E. 3 1951 Abelian extensions of differential fields. Zbl 0173.22904Kolchin, E. R. 3 1960 The Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0061.16801Kolchin, E. R. 3 1946 On universal extensions of differential fields. Zbl 0439.12015Kolchin, E. R. 2 1980 Algebraic groups and the Galois theory of differential fields. Zbl 0107.03002Kolchin, Ellis; Lang, Serge 2 1958 On certain ideals of differential polynomials. Zbl 0022.33703Ritt, J. F.; Kolchin, E. R. 1 1939 On the exponents of differential ideals. Zbl 0025.24502Kolchin, Ellis Robert 1 1941 On the basis theorem for differential systems. Zbl 0063.03288Kolchin, E. R. 1 1942 Differential polynomials and strongly normal extensions. Zbl 0259.12102Kolchin, E. R.; Soundararajan, T. 1 1972 On certain ideals of differential polynomials. JFM 65.0105.04Ritt, J. F.; Kolchin, E. R. 1 1939 Some problems in differential algebra. Zbl 0197.31601Kolchin, E. R. 1 1968 Selected works of Ellis Kolchin with commentary. Ed. by Hyman Bass, Alexandru Buium and Phyllis J. Cassidy. Zbl 0930.12004Kolchin, Ellis 11 1999 A problem on differential polynomials. Zbl 0759.12002Kolchin, E. R. 5 1992 Differential algebraic groups. Zbl 0593.14028Kolchin, E. R. 3 1986 Differential algebraic groups. Zbl 0556.12006Kolchin, E. R. 52 1985 On universal extensions of differential fields. Zbl 0439.12015Kolchin, E. R. 2 1980 Constrained extensions of differential fields. Zbl 0279.12103Kolchin, E. R. 26 1974 Differential equations in a projective space and linear dependence over a projective variety. Zbl 0292.14009Kolchin, E. R. 6 1974 Differential algebra and algebraic groups. Zbl 0264.12102Kolchin, E. R. 553 1973 Differential polynomials and strongly normal extensions. Zbl 0259.12102Kolchin, E. R.; Soundararajan, T. 1 1972 Algebraic groups and algebraic dependence. Zbl 0169.36701Kolchin, E. R. 61 1968 Some problems in differential algebra. Zbl 0197.31601Kolchin, E. R. 1 1968 The notion of dimension in the theory of algebraic differential equations. Zbl 0144.03702Kolchin, E. R. 30 1964 Existence of invariant bases. Zbl 0118.04601Kolchin, Ellis; Lang, Serge 5 1960 Abelian extensions of differential fields. Zbl 0173.22904Kolchin, E. R. 3 1960 Rational approximation to solutions of algebraic differential equations. Zbl 0092.27302Kolchin, E. R. 10 1959 Algebraic groups and the Galois theory of differential fields. Zbl 0107.03002Kolchin, Ellis; Lang, Serge 2 1958 On the Galois theory of differential fields. Zbl 0067.27004Kolchin, E. R. 8 1955 Galois theory of differential fields. Zbl 0052.27301Kolchin, E. R. 33 1953 Picard-Vessiot theory of partial differential fields. Zbl 0047.33303Kolchin, E. R. 9 1952 Two proofs of a theorem on algebraic groups. Zbl 0042.25502Chevalley, Claude; Kolchin, E. 3 1951 Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.18701Kolchin, E. R. 65 1948 On certain concepts in the theory of algebraic matric groups. Zbl 0037.18801Kolchin, E. R. 21 1948 Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0037.06601Kolchin, E. R. 10 1948 Extensions of differential fields. III. Zbl 0037.18601Kolchin, E. R. 7 1947 Algebraic matric groups. Zbl 0063.03290Kolchin, E. R. 5 1946 The Picard-Vessiot theory of homogeneous linear ordinary differential equations. Zbl 0061.16801Kolchin, E. R. 3 1946 Extensions of differential fields. I, II. Zbl 0060.08105Kolchin, E. R. 13 1944 Extensions of differential fields. II. Zbl 0063.03289Kolchin, E. R. 4 1944 On the basis theorem for differential systems. Zbl 0063.03288Kolchin, E. R. 1 1942 On the exponents of differential ideals. JFM 67.0090.05Kolchin, E. R. 4 1941 On the exponents of differential ideals. Zbl 0025.24502Kolchin, Ellis Robert 1 1941 On certain ideals of differential polynomials. Zbl 0022.33703Ritt, J. F.; Kolchin, E. R. 1 1939 On certain ideals of differential polynomials. JFM 65.0105.04Ritt, J. F.; Kolchin, E. R. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 654 Authors 24 Guo, Li 22 Singer, Michael F. 20 Ovchinnikov, Alexey Igorevich 18 Buium, Alexandru 16 Gao, Xing 15 León Sánchez, Omar 15 Levin, Alexander Borisovich 14 Fliess, Michel 14 Kondrat’eva, Marina Vladimirovna 13 Boulier, François 12 Keigher, William F. 11 Gao, Xiaoshan 11 Pillay, Anand 11 Sebag, Julien 10 Lemaire, François 10 Li, Wei 10 Rosenkranz, Markus 9 Carra’Ferro, Giuseppa 9 Winkler, Franz 8 D’Alfonso, Lisi 8 Hardouin, Charlotte 8 Jeronimo, Gabriela 8 Moosa, Rahim N. 8 Pogudin, Gleb A. 8 Solernó, Pablo 8 Wibmer, Michael 7 Casale, Guy 7 Chalkley, Roger 7 Morales-Ruiz, Juan José 6 Arreche, Carlos E. 6 Chen, Yuqun 6 Crespo Vicente, Teresa 6 Dreyfus, Thomas 6 Freitag, James 6 Hajto, Zbigniew 6 Hubert, Evelyne 6 Johnson, Joseph 6 Kovacic, Jerald J. 6 Lange-Hegermann, Markus 6 Radjavi, Heydar 6 Robertz, Daniel 6 Rueda, Sonia L. 6 Scanlon, Thomas J. 6 Srinivasan, Varadharaj Ravi 6 Umirbaev, Ualbaĭ Utmakhanbetovich 5 Acosta Humánez, Primitivo Belén 5 Adamus, Elżbieta 5 Bourqui, David 5 Cassidy, Phyllis Joan 5 Cohn, Richard M. 5 Duval, Guillaume 5 Feng, Ruyong 5 Gerdt, Vladimir Petrovich 5 Golubitsky, Oleg 5 Martinez-Guerra, Rafael 5 Masser, David William 5 Pankrat’ev, Evgeniĭ Vasil’evich 5 Schwarz, Fritz 5 Yuan, Chunming 5 Zharinov, Victor Victorovich 4 Blázquez-Sanz, David 4 Bokut, Leonid A. 4 Chen, Kuo-Tsai 4 Di Vizio, Lucia 4 Gorelov, Vasiliĭ Aleksandrovich 4 Grigorenko, N. V. 4 Gustavson, Richard 4 Lévine, Jean 4 Li, Ziming 4 Minchenko, Andrey 4 Mitschi, Claude 4 Moog, Claude H. 4 Moreno Maza, Marc 4 Nagloo, Joel 4 Ngô, Lâm Xuân Châu 4 Nishioka, Keiji 4 Ollivier, François 4 Qiu, Jianjun 4 Regensburger, Georg 4 Rouchon, Pierre 4 Rubel, Lee Albert 4 Sira-Ramírez, Hebertt J. 4 Sit, William Yu 4 Trushin, Dmitrii V. 4 Weil, Jacques-Arthur 4 Wloka, Josef 4 Wüstholz, Gisbert 4 Zobnin, Alexey I. 3 Amano, Katsutoshi 3 Arakawa, Tomoyuki 3 Bell, Jason P. 3 Bertrand, Daniel 3 Brouette, Quentin 3 Cañón, Mario Morán 3 Chaolu, Temuer 3 Chen, Shaoshi 3 Cozzens, John H. 3 Diop, Sette 3 Duĭsengalieva, Bibinur A. 3 Dupuy, Taylor ...and 554 more Authors all top 5 Cited in 178 Serials 68 Journal of Symbolic Computation 65 Journal of Algebra 29 Journal of Pure and Applied Algebra 26 Communications in Algebra 26 Proceedings of the American Mathematical Society 25 Transactions of the American Mathematical Society 23 Advances in Mathematics 15 Journal of Mathematical Sciences (New York) 14 Journal of Differential Equations 13 Linear Algebra and its Applications 12 Advances in Applied Mathematics 12 Mathematics in Computer Science 10 Mathematical Notes 10 Annales de l’Institut Fourier 10 Applicable Algebra in Engineering, Communication and Computing 9 Journal of Algebra and its Applications 8 Systems & Control Letters 8 Annals of Pure and Applied Logic 7 Israel Journal of Mathematics 7 Inventiones Mathematicae 7 Mathematische Annalen 7 Aequationes Mathematicae 7 Journal of Systems Science and Complexity 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin of the American Mathematical Society 6 Automatica 6 Compositio Mathematica 6 Mathematische Zeitschrift 6 International Journal of Algebra and Computation 5 Archiv der Mathematik 5 Journal of Number Theory 5 Programming and Computer Software 5 Theoretical Computer Science 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Integral Transforms and Special Functions 5 Journal of the Institute of Mathematics of Jussieu 4 Journal of Mathematical Analysis and Applications 4 Linear and Multilinear Algebra 4 Applied Mathematics and Computation 4 Duke Mathematical Journal 4 Mathematics and Computers in Simulation 4 Acta Applicandae Mathematicae 4 Journal of Complexity 4 Science in China. Series A 4 Indagationes Mathematicae. New Series 4 Selecta Mathematica. New Series 4 Transformation Groups 4 Communications in Contemporary Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Bulletin of the Australian Mathematical Society 3 International Journal of Control 3 Journal of Mathematical Physics 3 Reports on Mathematical Physics 3 Theoretical and Mathematical Physics 3 Journal of Geometry and Physics 3 Journal of Soviet Mathematics 3 Monatshefte für Mathematik 3 Nagoya Mathematical Journal 3 Physica D 3 Bulletin of the American Mathematical Society. New Series 3 Lobachevskii Journal of Mathematics 3 International Journal of Number Theory 3 Forum of Mathematics, Sigma 3 Arnold Mathematical Journal 2 Computer Physics Communications 2 Mathematical Biosciences 2 Moscow University Mathematics Bulletin 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Symbolic Logic 2 Kybernetika 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Siberian Mathematical Journal 2 European Journal of Combinatorics 2 Journal of Automated Reasoning 2 Journal of the American Mathematical Society 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Mathematical Logic Quarterly (MLQ) 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Journal of the European Mathematical Society (JEMS) 2 International Journal of Applied Mathematics and Computer Science 2 Journal of Mathematical Logic 2 Foundations of Computational Mathematics 2 Mediterranean Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Frontiers of Mathematics in China 2 Confluentes Mathematici 2 Science China. Mathematics 2 Bulletin of Mathematical Sciences 2 Journal of Siberian Federal University. Mathematics & Physics 1 Discrete Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute ...and 78 more Serials all top 5 Cited in 52 Fields 401 Field theory and polynomials (12-XX) 171 Commutative algebra (13-XX) 154 Ordinary differential equations (34-XX) 113 Algebraic geometry (14-XX) 86 Associative rings and algebras (16-XX) 84 Computer science (68-XX) 61 Mathematical logic and foundations (03-XX) 53 Number theory (11-XX) 53 Partial differential equations (35-XX) 45 Systems theory; control (93-XX) 44 Group theory and generalizations (20-XX) 42 Nonassociative rings and algebras (17-XX) 35 Dynamical systems and ergodic theory (37-XX) 23 Special functions (33-XX) 22 Several complex variables and analytic spaces (32-XX) 22 Difference and functional equations (39-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Numerical analysis (65-XX) 17 Combinatorics (05-XX) 17 Differential geometry (53-XX) 13 Operator theory (47-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Category theory; homological algebra (18-XX) 10 General algebraic systems (08-XX) 8 Topological groups, Lie groups (22-XX) 8 Biology and other natural sciences (92-XX) 7 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 5 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 5 Manifolds and cell complexes (57-XX) 5 Probability theory and stochastic processes (60-XX) 4 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.