Karl Rubin

2.5k total citations
46 papers, 915 citations indexed

About

Karl Rubin is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Karl Rubin has authored 46 papers receiving a total of 915 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Geometry and Topology, 28 papers in Algebra and Number Theory and 19 papers in Mathematical Physics. Recurrent topics in Karl Rubin's work include Algebraic Geometry and Number Theory (38 papers), Analytic Number Theory Research (24 papers) and Advanced Algebra and Geometry (17 papers). Karl Rubin is often cited by papers focused on Algebraic Geometry and Number Theory (38 papers), Analytic Number Theory Research (24 papers) and Advanced Algebra and Geometry (17 papers). Karl Rubin collaborates with scholars based in United States, Canada and Italy. Karl Rubin's co-authors include Alice Silverberg, Barry Mazur, Robert Pollack, Ralph Greenberg, Cornélius Greither, Brian Conrad, Kenneth A. Ribet, Dan Boneh, Michael Larsen and Michael Stoll and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Karl Rubin

42 papers receiving 779 citations

Peers

Karl Rubin

GT

MP

ANT

DMC

IS

Henri Darmon Canada

Cornélius Greither Germany

Gisbert Wüstholz Switzerland

Georges Gras France

Moshe Jarden Israel

Yuri Bilu France

N. Saradha India

David R. Hayes United States

Kay Wingberg Germany

Étienne Fouvry France

Henri Darmon Canada

Karl Rubin

1.3k ×1.5

GT

1.1k ×1.9

MP

698 ×1.5

ANT

153 ×1.4

DMC

44 ×0.4

IS

Citations per year, relative to Karl Rubin Karl Rubin (= 1×) peers Henri Darmon

Countries citing papers authored by Karl Rubin

Since Specialization

Citations

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

Fields of papers citing papers by Karl Rubin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karl Rubin

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Rubin. A scholar is included among the top collaborators of Karl Rubin 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 Karl Rubin. Karl Rubin 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

1.

Popescu, Cristian D., Karl Rubin, & Alice Silverberg. (2025). Arithmetic of L-Functions. arXiv (Cornell University).

2.

Mazur, Barry, Karl Rubin, & Alexandra Shlapentokh. (2024). Defining $\mathbb Z$ using unit groups. Acta Arithmetica. 214. 235–255. 2 indexed citations

3.

Mazur, Barry, Karl Rubin, & Alexandra Shlapentokh. (2023). Existential definability and diophantine stability. Journal of Number Theory. 254. 1–64. 1 indexed citations

4.

Mazur, Barry & Karl Rubin. (2016). Refined class number formulas for 𝔾 m . Journal de Théorie des Nombres de Bordeaux. 28(1). 185–211. 6 indexed citations

5.

Mazur, Barry & Karl Rubin. (2014). Selmer companion curves. Transactions of the American Mathematical Society. 367(1). 401–421. 3 indexed citations

6.

Popescu, Cristian D., Karl Rubin, & Alice Silverberg. (2011). Arithmetic of 𝐿-functions.

7.

Boneh, Dan, Karl Rubin, & Alice Silverberg. (2010). Finding composite order ordinary elliptic curves using the Cocks–Pinch method. Journal of Number Theory. 131(5). 832–841. 16 indexed citations

8.

Rubin, Karl & Alice Silverberg. (2009). Point counting on reductions of CM elliptic curves. Journal of Number Theory. 129(12). 2903–2923. 9 indexed citations

9.

Rubin, Karl & Alice Silverberg. (2009). Choosing the correct elliptic curve in the CM method. Mathematics of Computation. 79(269). 545–545. 16 indexed citations

10.

Conrad, Brian & Karl Rubin. (2008). Arithmetic Algebraic Geometry. 14 indexed citations

11.

Rubin, Karl & Alice Silverberg. (2008). Compression in Finite Fields and Torus-Based Cryptography. SIAM Journal on Computing. 37(5). 1401–1428. 9 indexed citations

12.

Mazur, Barry, Karl Rubin, & Alice Silverberg. (2007). Twisting commutative algebraic groups. Journal of Algebra. 314(1). 419–438. 29 indexed citations

13.

Mazur, Barry & Karl Rubin. (2007). Finding large Selmer rank via an arithmetic theory of local constants. Annals of Mathematics. 166(2). 579–612. 42 indexed citations

14.

Mazur, Barry & Karl Rubin. (2005). Organizing the arithmetic of elliptic curves. Advances in Mathematics. 198(2). 504–546. 11 indexed citations

15.

Pollack, Robert & Karl Rubin. (2004). The main conjecture for CM elliptic curves at supersingular primes. Annals of Mathematics. 159(1). 447–464. 23 indexed citations

16.

Rubin, Karl & Alice Silverberg. (2000). Mod 2 representations of elliptic curves. Proceedings of the American Mathematical Society. 129(1). 53–57. 14 indexed citations

17.

Rubin, Karl. (2000). Euler Systems. (AM-147), Volume 147. 1 indexed citations

18.

Greither, Cornélius, et al.. (1999). Swan Modules and Hilbert–Speiser Number Fields. Journal of Number Theory. 79(1). 164–173. 27 indexed citations

19.

Rubin, Karl. (1996). A Stark conjecture “over 𝐙 ” for abelian L -functions with multiple zeros. Annales de l’institut Fourier. 46(1). 33–62. 69 indexed citations

20.

Rubin, Karl. (1985). Elliptic curves and $\mathbb {Z}_p$-extensions. Compositio Mathematica. 56(2). 237–250. 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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