Bernard Dwork

2.1k total citations
53 papers, 1.1k citations indexed

About

Bernard Dwork is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Bernard Dwork has authored 53 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 24 papers in Mathematical Physics and 18 papers in Geometry and Topology. Recurrent topics in Bernard Dwork's work include advanced mathematical theories (21 papers), Algebraic Geometry and Number Theory (15 papers) and Meromorphic and Entire Functions (11 papers). Bernard Dwork is often cited by papers focused on advanced mathematical theories (21 papers), Algebraic Geometry and Number Theory (15 papers) and Meromorphic and Entire Functions (11 papers). Bernard Dwork collaborates with scholars based in United States, France and Italy. Bernard Dwork's co-authors include Philippe Robba, Siegfried Bosch, Harald H. Rossi, Alfred J. van der Poorten, S. Chowla, Ronald J. Evans, Steven Sperber, Frank Sullivan, Arthur Ogus and François Loeser and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Bernard Dwork

52 papers receiving 828 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Bernard Dwork United States 18 679 535 393 254 251 53 1.1k
Jan Denef Belgium 21 1.3k 1.9× 782 1.5× 571 1.5× 190 0.7× 396 1.6× 57 1.5k
Kálmán Győry Hungary 18 855 1.3× 404 0.8× 655 1.7× 141 0.6× 286 1.1× 96 1.2k
Edoardo Ballico Italy 14 960 1.4× 437 0.8× 302 0.8× 128 0.5× 376 1.5× 423 1.2k
A. J. van der Poorten Australia 15 238 0.4× 235 0.4× 231 0.6× 119 0.5× 259 1.0× 73 680
M. N. Huxley United Kingdom 16 484 0.7× 416 0.8× 947 2.4× 283 1.1× 100 0.4× 71 1.3k
Marvin Tretkoff United States 7 1.1k 1.6× 923 1.7× 605 1.5× 91 0.4× 155 0.6× 23 1.4k
Heisuke Hironaka United States 15 1.7k 2.6× 861 1.6× 666 1.7× 355 1.4× 529 2.1× 25 2.0k
Linda Preiss Rothschild United States 23 841 1.2× 780 1.5× 302 0.8× 1.6k 6.3× 324 1.3× 82 2.1k
Egbert Brieskorn Germany 13 1.3k 1.8× 684 1.3× 271 0.7× 262 1.0× 291 1.2× 25 1.5k
Alexandru Zaharescu United States 18 508 0.7× 578 1.1× 939 2.4× 290 1.1× 140 0.6× 269 1.4k

Countries citing papers authored by Bernard Dwork

Since Specialization
Citations

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

Fields of papers citing papers by Bernard Dwork

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernard Dwork. 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 Bernard Dwork. The network helps show where Bernard Dwork may publish in the future.

Co-authorship network of co-authors of Bernard Dwork

This figure shows the co-authorship network connecting the top 25 collaborators of Bernard Dwork. A scholar is included among the top collaborators of Bernard Dwork 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 Bernard Dwork. Bernard Dwork 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.
Dwork, Bernard. (1999). On Systems of Ordinary Differential Equations with Transcendental Parameters. Journal of Differential Equations. 156(1). 18–25. 1 indexed citations
2.
Dwork, Bernard. (1999). On the size of differential modules. Duke Mathematical Journal. 96(2). 2 indexed citations
3.
Dwork, Bernard, et al.. (1994). Modules différentiels sur les couronnes. Annales de l’institut Fourier. 44(3). 663–701. 19 indexed citations
4.
Dwork, Bernard, et al.. (1994). An introduction to G-functions. Medical Entomology and Zoology. 80 indexed citations
5.
Dwork, Bernard. (1993). Cohomological interpretation of hypergeometric series. Rendiconti del Seminario Matematico della Università di Padova. 90. 239–263. 2 indexed citations
6.
Dwork, Bernard & Alfred J. van der Poorten. (1992). The Eisenstein constant. Duke Mathematical Journal. 65(1). 15 indexed citations
7.
Dwork, Bernard, et al.. (1991). Effective p-adic bounds at regular singular points. Duke Mathematical Journal. 62(3). 14 indexed citations
8.
Dwork, Bernard. (1990). Generalized hypergeometric functions. 43 indexed citations
9.
Dwork, Bernard & Arthur Ogus. (1986). Canonical liftings of jacobians. Compositio Mathematica. 58(1). 111–131. 12 indexed citations
10.
Chowla, S., Bernard Dwork, & Ronald J. Evans. (1986). On the mod p2 determination of ((p − 1)4(p − 1)2). Journal of Number Theory. 24(2). 188–196. 23 indexed citations
11.
Dwork, Bernard. (1983). Differential equations which come from geometry. French digital mathematics library (Numdam). 10(1). 1–6. 1 indexed citations
12.
Dwork, Bernard. (1982). A note on the $p$-adic gamma function. French digital mathematics library (Numdam). 9(3). 2 indexed citations
13.
Dwork, Bernard. (1982). Lectures on p-adic Differential Equations. CERN Document Server (European Organization for Nuclear Research). 26 indexed citations
14.
Dwork, Bernard. (1981). On Apery's differential operator. French digital mathematics library (Numdam). 1–6. 2 indexed citations
15.
Dwork, Bernard, et al.. (1980). Effective p-Adic Bounds for Solutions of Homogeneous Linear Differential Equations. Transactions of the American Mathematical Society. 259(2). 559–559. 6 indexed citations
16.
Dwork, Bernard & Philippe Robba. (1979). On natural radii of 𝑝-adic convergence. Transactions of the American Mathematical Society. 256(0). 199–213. 8 indexed citations
17.
Dwork, Bernard & Philippe Robba. (1977). On ordinary linear 𝑝-adic differential equations. Transactions of the American Mathematical Society. 231(1). 1–46. 15 indexed citations
18.
Dwork, Bernard. (1974). On $p$-adic differential equations. The Frobenius structure of differential equations. Mémoires de la Société mathématique de France. 1. 27–37. 5 indexed citations
19.
Dwork, Bernard. (1973). OnP-adic differential equations. Inventiones mathematicae. 20(1). 35–45. 17 indexed citations
20.
Dwork, Bernard. (1958). Norm residue Symbol in local number Fields. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 22(1). 180–190. 17 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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