Armand Brumer

1.4k total citations
25 papers, 720 citations indexed

About

Armand Brumer is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Armand Brumer has authored 25 papers receiving a total of 720 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 11 papers in Algebra and Number Theory and 8 papers in Mathematical Physics. Recurrent topics in Armand Brumer's work include Algebraic Geometry and Number Theory (13 papers), Advanced Algebra and Geometry (6 papers) and Analytic Number Theory Research (5 papers). Armand Brumer is often cited by papers focused on Algebraic Geometry and Number Theory (13 papers), Advanced Algebra and Geometry (6 papers) and Analytic Number Theory Research (5 papers). Armand Brumer collaborates with scholars based in United States, Argentina and United Kingdom. Armand Brumer's co-authors include Robert C. Gunning, Kenneth Kramer, Joseph H. Silverman, Maurice Auslander, Michael Rosen, Michael Rosen, David S. Yuen, John Voight and Cris Poor and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Bulletin of the American Mathematical Society.

In The Last Decade

Armand Brumer

24 papers receiving 571 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Armand Brumer United States	13	568	357	313	126	95	25	720
Ju I Manin	10	752 1.3×	534 1.5×	292 0.9×	111 0.9×	138 1.5×	16	843
Fred Diamond United Kingdom	11	1.0k 1.8×	877 2.5×	537 1.7×	152 1.2×	81 0.9×	24	1.2k
Kenneth A. Ribet United States	21	1.4k 2.5×	1.1k 3.2×	651 2.1×	183 1.5×	200 2.1×	50	1.5k
John Tyrrell United Kingdom	9	284 0.5×	172 0.5×	173 0.6×	75 0.6×	84 0.9×	40	470
Gerald Janusz United States	8	225 0.4×	133 0.4×	163 0.5×	132 1.0×	66 0.7×	16	396
Victor Snaith United Kingdom	16	533 0.9×	527 1.5×	291 0.9×	86 0.7×	62 0.7×	99	681
Walter L. Baily United States	11	620 1.1×	468 1.3×	166 0.5×	51 0.4×	68 0.7×	23	732
Fedor Bogomolov United States	20	1.0k 1.8×	647 1.8×	189 0.6×	148 1.2×	146 1.5×	85	1.1k
Peter Swinnerton‐Dyer United Kingdom	9	303 0.5×	229 0.6×	366 1.2×	207 1.6×	46 0.5×	27	602
Avner Ash United States	18	905 1.6×	878 2.5×	198 0.6×	276 2.2×	75 0.8×	79	1.0k

Countries citing papers authored by Armand Brumer

Since Specialization

Citations

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

Fields of papers citing papers by Armand Brumer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Armand Brumer

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

All Works

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20 of 20 papers shown

Brumer, Armand, et al.. (2018). On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms). arXiv (Cornell University). 6 indexed citations

Brumer, Armand & Kenneth Kramer. (2018). Large 2-adic Galois image and non-existence of certain abelian surfaces over ${\mathbb Q}$. Acta Arithmetica. 183(4). 357–383. 1 indexed citations

Brumer, Armand, et al.. (2016). Explicit determination of root numbers of abelian varieties. Transactions of the American Mathematical Society. 370(4). 2589–2604.

Brumer, Armand & Kenneth Kramer. (2012). Arithmetic of division fields. Proceedings of the American Mathematical Society. 140(9). 2981–2995. 1 indexed citations

Brumer, Armand & Kenneth Kramer. (1994). The conductor of an abelian variety. Compositio Mathematica. 92(2). 227–248. 17 indexed citations

Brumer, Armand. (1992). The average rank of elliptic curves I. Inventiones mathematicae. 109(1). 445–472. 65 indexed citations

Brumer, Armand, et al.. (1990). The behavior of the Mordell-Weil group of elliptic curves. Bulletin of the American Mathematical Society. 23(2). 375–382. 37 indexed citations

Brumer, Armand & Kenneth Kramer. (1977). The rank of elliptic curves. Duke Mathematical Journal. 44(4). 69 indexed citations

Brumer, Armand. (1969). On the group of units of an absolutely cyclic number field of prime degree. Journal of the Mathematical Society of Japan. 21(3). 14 indexed citations

10.

Brumer, Armand & Michael Rosen. (1968). On the Size of the Brauer Group. Proceedings of the American Mathematical Society. 19(3). 707–707. 1 indexed citations

11.

Brumer, Armand. (1968). Travaux récents d'Iwasawa et de Leopoldt. French digital mathematics library (Numdam). 10. 189–202. 1 indexed citations

12.

Auslander, Maurice & Armand Brumer. (1968). Brauer Groups of Discrete Valuation Rings. Indagationes Mathematicae (Proceedings). 71. 286–296. 26 indexed citations

13.

Brumer, Armand & Michael Rosen. (1968). On the size of the Brauer group. Proceedings of the American Mathematical Society. 19(3). 707–711. 5 indexed citations

14.

Brumer, Armand. (1966). Pseudocompact algebras, profinite groups and class formations. Journal of Algebra. 4(3). 442–470. 109 indexed citations

15.

Brumer, Armand. (1966). Galois groups of extensions of algebraic number fields with given ramification.. The Michigan Mathematical Journal. 13(1). 20 indexed citations

16.

Brumer, Armand. (1965). Ramification and class towers of number fields.. The Michigan Mathematical Journal. 12(2). 7 indexed citations

17.

Brumer, Armand. (1964). Addendum to “Structure of hereditary orders”. Bulletin of the American Mathematical Society. 70(1). 185–186. 3 indexed citations

18.

Brumer, Armand. (1963). Structure of hereditary orders. Bulletin of the American Mathematical Society. 69(5). 721–724. 24 indexed citations

19.

Brumer, Armand & Michael Rosen. (1963). Class Number and Ramification in Number Fields. Nagoya Mathematical Journal. 23. 97–101. 10 indexed citations

20.

Gunning, Robert C. & Armand Brumer. (1962). Lectures on modular forms. 109 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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