C. A. Berger

1.9k total citations
32 papers, 804 citations indexed

About

C. A. Berger is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, C. A. Berger has authored 32 papers receiving a total of 804 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 11 papers in Mathematical Physics and 7 papers in Algebra and Number Theory. Recurrent topics in C. A. Berger's work include Holomorphic and Operator Theory (11 papers), Advanced Topics in Algebra (7 papers) and Advanced Operator Algebra Research (5 papers). C. A. Berger is often cited by papers focused on Holomorphic and Operator Theory (11 papers), Advanced Topics in Algebra (7 papers) and Advanced Operator Algebra Research (5 papers). C. A. Berger collaborates with scholars based in United States, Bangladesh and Cameroon. C. A. Berger's co-authors include L. A. Coburn, Kehe Zhu, E. R. Witkus, David Békollè, Joseph G. Stampfli, Arnold Lebow and Thomas J. Lowery and has published in prestigious journals such as Nature, Proceedings of the National Academy of Sciences and Experimental Cell Research.

In The Last Decade

C. A. Berger

31 papers receiving 672 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
C. A. Berger United States 13 614 270 180 114 101 32 804
Misha Gromov France 10 107 0.2× 265 1.0× 42 0.2× 251 2.2× 27 0.3× 18 486
Richard Carey United States 10 223 0.4× 200 0.7× 80 0.4× 51 0.4× 24 0.2× 26 359
Jonathan Block United States 9 37 0.1× 190 0.7× 79 0.4× 148 1.3× 31 0.3× 23 251
Didier Arnal France 14 51 0.1× 355 1.3× 318 1.8× 288 2.5× 51 0.5× 65 557
Zhangjian Hu China 16 530 0.9× 113 0.4× 83 0.5× 139 1.2× 115 1.1× 58 708
Harry Gonshor United States 10 29 0.0× 87 0.3× 123 0.7× 101 0.9× 19 0.2× 26 308
Jie-Tai Yu Hong Kong 12 28 0.0× 61 0.2× 173 1.0× 291 2.6× 85 0.8× 60 440
Theodor Schneider Germany 4 36 0.1× 47 0.2× 40 0.2× 59 0.5× 48 0.5× 11 258
Fredric D. Ancel United States 9 52 0.1× 141 0.5× 29 0.2× 158 1.4× 3 0.0× 22 257
J. L. Verdier France 6 26 0.0× 617 2.3× 285 1.6× 685 6.0× 12 0.1× 6 841

Countries citing papers authored by C. A. Berger

Since Specialization
Citations

This map shows the geographic impact of C. A. Berger'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 C. A. Berger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites C. A. Berger more than expected).

Fields of papers citing papers by C. A. Berger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. A. Berger. 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 C. A. Berger. The network helps show where C. A. Berger may publish in the future.

Co-authorship network of co-authors of C. A. Berger

This figure shows the co-authorship network connecting the top 25 collaborators of C. A. Berger. A scholar is included among the top collaborators of C. A. Berger 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 C. A. Berger. C. A. Berger is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Berger, C. A. & L. A. Coburn. (1994). Heat Flow and Berezin-Toeplitz Estimates. American Journal of Mathematics. 116(3). 563–563. 64 indexed citations
2.
Békollè, David, C. A. Berger, L. A. Coburn, & Kehe Zhu. (1990). BMO in the Bergman metric on bounded symmetric domains. Journal of Functional Analysis. 93(2). 310–350. 103 indexed citations
3.
Berger, C. A. & L. A. Coburn. (1987). Toeplitz operators on the Segal-Bargmann space. Transactions of the American Mathematical Society. 301(2). 813–829. 130 indexed citations
4.
Berger, C. A. & L. A. Coburn. (1986). Toeplitz operators and quantum mechanics. Journal of Functional Analysis. 68(3). 273–299. 75 indexed citations
5.
Berger, C. A. & L. A. Coburn. (1986). A symbol calculus for Toeplitz operators. Proceedings of the National Academy of Sciences. 83(10). 3072–3073. 7 indexed citations
6.
Berger, C. A., et al.. (1983). Trace class self-commutators. Transactions of the American Mathematical Society. 277(1). 75–91. 2 indexed citations
7.
Berger, C. A.. (1981). Intertwined operators and the pincus principal function. Integral Equations and Operator Theory. 4(1). 1–9. 4 indexed citations
8.
Berger, C. A., L. A. Coburn, & Arnold Lebow. (1978). Representation and index theory for C∗-algebras generated by commuting isometries. Journal of Functional Analysis. 27(1). 51–99. 44 indexed citations
9.
Berger, C. A.. (1978). Sufficiently high powers of hyponormal operators have rationally invariant subspaces. Integral Equations and Operator Theory. 1(3). 444–447. 15 indexed citations
10.
Berger, C. A., L. A. Coburn, & Arnold Lebow. (1975). 𝐶*-algebras generated by commuting isometries. I. Bulletin of the American Mathematical Society. 81(4). 747–749. 3 indexed citations
11.
Berger, C. A., et al.. (1973). Selfcommutators of multicyclic hyponormal operators are always trace class. Bulletin of the American Mathematical Society. 79(6). 1193–1200. 70 indexed citations
12.
Berger, C. A. & L. A. Coburn. (1968). 𝐶*-algebras of translations and multipliers. Bulletin of the American Mathematical Society. 74(5). 1008–1012. 3 indexed citations
13.
Witkus, E. R., et al.. (1966). Effects of kinetin on cell division in Triturus viridescens. Experimental Cell Research. 41(2). 259–264. 7 indexed citations
14.
Berger, C. A., et al.. (1966). Diazouracil and the Mitotic Spindle. Caryologia. 19(3). 255–259. 1 indexed citations
15.
Witkus, E. R., et al.. (1962). Kinetin, as a Mitotic Stimulant in Triturus viridescens. Nature. 194(4834). 1200–1201. 6 indexed citations
16.
Witkus, E. R., et al.. (1961). Chromosomal Elimination induced by 6-Aza-Uracil. Nature. 191(4788). 627–628. 6 indexed citations
17.
Witkus, E. R., et al.. (1960). Some cytological characteristics of 2,4-D-induced mitosis in polyploid cells of Solanum tuberosum L.. Caryologia. 12. 398–403. 2 indexed citations
18.
Berger, C. A.. (1957). Some Cytological Effects of Gibberellin. Bulletin of the Torrey Botanical Club. 84(5). 356–356. 4 indexed citations
19.
Berger, C. A., et al.. (1955). The Cytology of Xanthisma texanum D. C. III. Differential Somatic Reduction. Bulletin of the Torrey Botanical Club. 82(5). 377–377. 25 indexed citations
20.
Berger, C. A., et al.. (1952). C-MITOSIS IN COMMELINA COMMUNIS L.*. Journal of Heredity. 43(5). 243–247. 6 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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