A. Fröhlich

3.3k total citations · 1 hit paper
79 papers, 2.0k citations indexed

About

A. Fröhlich is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, A. Fröhlich has authored 79 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 27 papers in Algebra and Number Theory and 24 papers in Computational Theory and Mathematics. Recurrent topics in A. Fröhlich's work include Rings, Modules, and Algebras (19 papers), Algebraic Geometry and Number Theory (16 papers) and Polynomial and algebraic computation (12 papers). A. Fröhlich is often cited by papers focused on Rings, Modules, and Algebras (19 papers), Algebraic Geometry and Number Theory (16 papers) and Polynomial and algebraic computation (12 papers). A. Fröhlich collaborates with scholars based in United Kingdom, United States and Mexico. A. Fröhlich's co-authors include M. J. Taylor, J. C. Shepherdson, J. W. S. Cassels, Colin J. Bushnell, L. Michaels, Ludger Staib, H. G. Beger, C. G. Diederichs, S. N. Reske and J. Vogel and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

A. Fröhlich

78 papers receiving 1.6k 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.

Algebraic Number Theory

1991 389 citations A. Fröhlich, M. J. Taylor Cambridge University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. Fröhlich United Kingdom	24	1.2k	803	697	428	367	79	2.0k
Paul J. Cohen United States	15	413 0.3×	210 0.3×	406 0.6×	490 1.1×	44 0.1×	30	1.4k
William C. Waterhouse United States	18	928 0.8×	637 0.8×	617 0.9×	307 0.7×	228 0.6×	146	1.5k
Richard G. Swan United States	28	2.0k 1.6×	1.4k 1.7×	1.4k 2.0×	481 1.1×	482 1.3×	72	2.9k
Gilbert Baumslag United States	27	1.8k 1.5×	452 0.6×	1.0k 1.5×	808 1.9×	1.0k 2.8×	141	2.5k
Peter Orlik United States	22	1.9k 1.5×	629 0.8×	1.1k 1.6×	382 0.9×	1.3k 3.6×	62	2.9k
W. B. R. Lickorish United Kingdom	24	2.5k 2.0×	118 0.1×	1.6k 2.4×	559 1.3×	1.0k 2.8×	61	2.8k
John R. Stallings United States	19	1.6k 1.3×	229 0.3×	1.2k 1.7×	584 1.4×	387 1.1×	30	2.1k
Michel Kervaire Switzerland	21	1.2k 1.0×	462 0.6×	844 1.2×	415 1.0×	248 0.7×	48	1.8k
Peter Freyd United States	14	1.0k 0.9×	341 0.4×	848 1.2×	483 1.1×	272 0.7×	37	1.7k
Ralph H. Fox United States	15	1.2k 1.0×	210 0.3×	725 1.0×	389 0.9×	426 1.2×	35	1.6k

Countries citing papers authored by A. Fröhlich

Since Specialization

Citations

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

Fields of papers citing papers by A. Fröhlich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Fröhlich

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Friedmann, I., A. Fröhlich, & Alison J. Wright. (1993). Epidemic typhus fever and hearing loss: a histological study. The Journal of Laryngology & Otology. 107(4). 275–283. 8 indexed citations

Fröhlich, A. & M. J. Taylor. (1991). Algebraic Number Theory. Cambridge University Press eBooks. 389 indexed citations breakdown →

Fröhlich, A.. (1986). Tame Representations of Local Weil Groups and of Chain Groups of Local Principal Orders. CERN Document Server (European Organization for Nuclear Research). 5 indexed citations

Bushnell, Colin J. & A. Fröhlich. (1983). Gauss Sums and p-adic Division Algebras. Lecture notes in mathematics. 35 indexed citations

Fröhlich, A. & M. J. Taylor. (1980). The arithmetic theory of local Galois Gauss sums for tame characters. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 298(1437). 141–181. 3 indexed citations

Fröhlich, A.. (1980). Galois module structure and rootnumbers for quaternion extensions of degree 2n. Journal of Number Theory. 12(4). 499–518. 2 indexed citations

Fröhlich, A.. (1977). Algebraic number fields : (L-functions and Galois properties) : proceedings of a symposium. Academic Press eBooks. 2 indexed citations

Fröhlich, A.. (1976). A normal integral basis theorem. Journal of Algebra. 39(1). 131–137. 4 indexed citations

Fröhlich, A. & C. T. C. Wall. (1971). Equivariant brauergroups in algebraic number theory. Mémoires de la Société mathématique de France. 1. 91–96. 5 indexed citations

10.

Fröhlich, A.. (1969). HERMITIAN AND QUADRATIC FORMS OVER RINGS WITH INVOLUTION. The Quarterly Journal of Mathematics. 20(1). 297–317. 6 indexed citations

11.

Cassels, J. W. S. & A. Fröhlich. (1967). Algebraic number theory : proceedings of an instructional conference organized by the London Mathematical Society (a Nato Advanced Study Institute) with the support of the International Mathematical Union. Academic Press eBooks. 70 indexed citations

12.

Fröhlich, A.. (1966). Resolvents, discriminants, and trace invariants. Journal of Algebra. 4(2). 173–198. 3 indexed citations

13.

Fröhlich, A., John Tate, & Jean-Pierre Serre. (1962). A different with an odd class.. Journal für die reine und angewandte Mathematik (Crelles Journal). 209. 6–7. 1 indexed citations

14.

Fröhlich, A.. (1962). On non‐ramified extensions with prescribed Galois group. Mathematika. 9(2). 133–134. 15 indexed citations

15.

Fröhlich, A.. (1962). The module structure of Kummer extensions over Dedekind domains.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1962(209). 39–53. 19 indexed citations

16.

Fröhlich, A.. (1960). ON GROUPS OVER A D.G. NEAR-RING (I): SUM CONSTRUCTIONS AND FREE R-GROUPS. The Quarterly Journal of Mathematics. 11(1). 193–210. 35 indexed citations

17.

Fröhlich, A.. (1959). The genus field and genus group in finite number fields. Mathematika. 6(1). 40–46. 23 indexed citations

18.

Fröhlich, A. & J. C. Shepherdson. (1956). Effective procedures in field theory. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 248(950). 407–432. 157 indexed citations

19.

Fröhlich, A.. (1955). On the Absolute Class-Group of Abelian Fields (II). Journal of the London Mathematical Society. s1-30(1). 72–80. 1 indexed citations

20.

Fröhlich, A.. (1954). On the Absolute Class-Group of Abelian Fields. Journal of the London Mathematical Society. s1-29(2). 211–217. 10 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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