E. R. Kolchin

2.4k total citations · 1 hit paper
18 papers, 628 citations indexed

About

E. R. Kolchin is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, E. R. Kolchin has authored 18 papers receiving a total of 628 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Geometry and Topology, 8 papers in Mathematical Physics and 7 papers in Algebra and Number Theory. Recurrent topics in E. R. Kolchin's work include Advanced Topics in Algebra (7 papers), Polynomial and algebraic computation (5 papers) and Advanced Differential Equations and Dynamical Systems (4 papers). E. R. Kolchin is often cited by papers focused on Advanced Topics in Algebra (7 papers), Polynomial and algebraic computation (5 papers) and Advanced Differential Equations and Dynamical Systems (4 papers). E. R. Kolchin collaborates with scholars based in United States. E. R. Kolchin's co-authors include Hyman Bass, J. Kovacic, Alexandru Buium, Serge Lang and Catherine Chevalley and has published in prestigious journals such as Journal of the Franklin Institute, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

E. R. Kolchin

17 papers receiving 511 citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Differential Algebra and Algebraic Groups

2012 228 citations E. R. Kolchin CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
E. R. Kolchin United States	11	378	303	149	149	101	18	628
Oskar Perron Germany	8	135 0.4×	139 0.5×	136 0.9×	122 0.8×	69 0.7×	23	548
K. Mahler Australia	14	324 0.9×	240 0.8×	271 1.8×	257 1.7×	44 0.4×	37	743
R. Westwick Canada	13	194 0.5×	273 0.9×	154 1.0×	245 1.6×	37 0.4×	26	586
Henri Cartan France	12	280 0.7×	81 0.3×	277 1.9×	147 1.0×	55 0.5×	44	588
А. О. Гелъфонд Russia	8	139 0.4×	134 0.4×	146 1.0×	188 1.3×	46 0.5×	16	548
Q I Rahman Canada	2	244 0.6×	152 0.5×	66 0.4×	61 0.4×	44 0.4×	7	556
A. J. van der Poorten Australia	15	238 0.6×	259 0.9×	235 1.6×	231 1.6×	56 0.6×	73	680
Lynn H. Loomis	5	155 0.4×	180 0.6×	397 2.7×	233 1.6×	36 0.4×	6	778
B. J. Pettis United States	6	278 0.7×	261 0.9×	316 2.1×	119 0.8×	18 0.2×	9	722
E. H. Connell United States	11	685 1.8×	143 0.5×	163 1.1×	236 1.6×	175 1.7×	29	783

Countries citing papers authored by E. R. Kolchin

Since Specialization

Citations

This map shows the geographic impact of E. R. Kolchin's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by E. R. Kolchin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites E. R. Kolchin more than expected).

Fields of papers citing papers by E. R. Kolchin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by E. R. Kolchin. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by E. R. Kolchin. The network helps show where E. R. Kolchin may publish in the future.

Co-authorship network of co-authors of E. R. Kolchin

This figure shows the co-authorship network connecting the top 25 collaborators of E. R. Kolchin. A scholar is included among the top collaborators of E. R. Kolchin based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with E. R. Kolchin. E. R. Kolchin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

Kolchin, E. R.. (2012). Differential Algebra and Algebraic Groups. CERN Document Server (European Organization for Nuclear Research). 228 indexed citations breakdown →

Kolchin, E. R., et al.. (1999). Selected works of Ellis Kolchin with commentary. Medical Entomology and Zoology. 21 indexed citations

Kolchin, E. R.. (1980). On universal extensions of differential fields. Pacific Journal of Mathematics. 86(1). 139–143. 18 indexed citations

Kolchin, E. R., et al.. (1977). Contributions to algebra : a collection of papers dedicated to Ellis Kolchin. Academic Press eBooks. 51 indexed citations

Kolchin, E. R.. (1974). Constrained extensions of differential fields. Advances in Mathematics. 12(2). 141–170. 35 indexed citations

Kolchin, E. R.. (1968). Algebraic Groups and Algebraic Dependence. American Journal of Mathematics. 90(4). 1151–1151. 73 indexed citations

Kolchin, E. R.. (1964). The notion of dimension in the theory of algebraic differential equations. Bulletin of the American Mathematical Society. 70(4). 570–573. 31 indexed citations

Kolchin, E. R. & Serge Lang. (1960). Existence of Invariant Bases. Proceedings of the American Mathematical Society. 11(1). 140–140.

Kolchin, E. R. & Serge Lang. (1960). Existence of invariant bases. Proceedings of the American Mathematical Society. 11(1). 140–148. 5 indexed citations

10.

Kolchin, E. R.. (1960). Abelian Extensions of Differential Fields. American Journal of Mathematics. 82(4). 779–779. 6 indexed citations

11.

Kolchin, E. R.. (1959). Rational approximation to solutions of algebraic differential equations. Proceedings of the American Mathematical Society. 10(2). 238–244. 20 indexed citations

12.

Kolchin, E. R. & Serge Lang. (1958). Algebraic Groups and the Galois Theory of Differential Fields. American Journal of Mathematics. 80(1). 103–103. 5 indexed citations

13.

Kolchin, E. R.. (1957). Algebraic geometry and topology, a symposium in honor of S. Lefschetz. Journal of the Franklin Institute. 264(2). 153–153. 61 indexed citations

14.

Kolchin, E. R.. (1955). On the Galois Theory of Differential Fields. American Journal of Mathematics. 77(4). 868–868. 11 indexed citations

15.

Kolchin, E. R.. (1953). Galois Theory of Differential Fields. American Journal of Mathematics. 75(4). 753–753. 49 indexed citations

16.

Kolchin, E. R.. (1952). Picard-Vessiot theory of partial differential fields. Proceedings of the American Mathematical Society. 3(4). 596–603. 9 indexed citations

17.

Chevalley, Catherine & E. R. Kolchin. (1951). Two proofs of a theorem on algebraic groups. Proceedings of the American Mathematical Society. 2(1). 126–134. 3 indexed citations

18.

Chevalley, Catherine & E. R. Kolchin. (1951). Two Proofs of a Theorem on Algebraic Groups. Proceedings of the American Mathematical Society. 2(1). 126–126. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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