Noam D. Elkies

1.7k total citations
30 papers, 515 citations indexed

About

Noam D. Elkies is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Noam D. Elkies has authored 30 papers receiving a total of 515 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 10 papers in Mathematical Physics and 7 papers in Algebra and Number Theory. Recurrent topics in Noam D. Elkies's work include Algebraic Geometry and Number Theory (10 papers), Analytic Number Theory Research (7 papers) and Advanced Algebra and Geometry (6 papers). Noam D. Elkies is often cited by papers focused on Algebraic Geometry and Number Theory (10 papers), Analytic Number Theory Research (7 papers) and Advanced Algebra and Geometry (6 papers). Noam D. Elkies collaborates with scholars based in United States, South Africa and Russia. Noam D. Elkies's co-authors include Henry Cohn, Curtis T. McMullen, Andrew Odlyzko, Ken Ono, Tonghai Yang, Günther Fink, Richard P. Stanley, Konrad J. Swanepoel, John H. Conway and Till Bärnighausen and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and American Mathematical Monthly.

In The Last Decade

Noam D. Elkies

28 papers receiving 463 citations

Peers

Noam D. Elkies

GT

MP

ANT

AI

DMC

Joe Buhler United States

G. Harman United Kingdom

Andrew Bremner United States

Gabriele Nebe Germany

A. J. van der Poorten Australia

Attila Pethő Hungary

Tom C. Brown Canada

Sinai Robins United States

Peter J.-S. Shiue United States

David A. Klarner United States

Joe Buhler United States

Noam D. Elkies

344 ×1.5

GT

216 ×1.2

MP

303 ×2.0

ANT

105 ×0.9

AI

193 ×2.4

DMC

Citations per year, relative to Noam D. Elkies Noam D. Elkies (= 1×) peers Joe Buhler

Countries citing papers authored by Noam D. Elkies

Since Specialization

Citations

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

Fields of papers citing papers by Noam D. Elkies

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Noam D. Elkies. 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 Noam D. Elkies. The network helps show where Noam D. Elkies may publish in the future.

Co-authorship network of co-authors of Noam D. Elkies

This figure shows the co-authorship network connecting the top 25 collaborators of Noam D. Elkies. A scholar is included among the top collaborators of Noam D. Elkies 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 Noam D. Elkies. Noam D. Elkies 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.

Elkies, Noam D., et al.. (2019). Periodic continued fractions over $S$-integers in number fields and Skolem's $p$-adic method. arXiv (Cornell University). 1 indexed citations

2.

Bhargava, Manjul, et al.. (2019). The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k. Journal of the London Mathematical Society. 101(1). 299–327. 13 indexed citations

3.

Elkies, Noam D. & Matthias Schütt. (2015). Genus $1$ fibrations on the supersingular $\mathrm{K}3$ surface in characteristic $2$ with Artin invariant $1$. Asian Journal of Mathematics. 19(3). 555–582. 2 indexed citations

4.

Watkins, Mark E., et al.. (2015). Ranks of quadratic twists of elliptic curves. French digital mathematics library (Numdam). 63–98. 4 indexed citations

5.

Elkies, Noam D., Günther Fink, & Till Bärnighausen. (2015). “Scrambling” geo-referenced data to protect privacy induces bias in distance estimation. Population and Environment. 37(1). 83–98. 16 indexed citations

6.

Cohn, Henry, John H. Conway, Noam D. Elkies, & Abhinav Kumar. (2007). TheD₄Root System Is Not Universally Optimal. Experimental Mathematics. 16(3). 313–320. 12 indexed citations

7.

Conway, John H., Noam D. Elkies, & Jeremy L. Martin. (2006). The Mathieu GroupM₁₂and Its Pseudogroup ExtensionM₁₃. Experimental Mathematics. 15(2). 223–236. 5 indexed citations

8.

Elkies, Noam D., et al.. (2006). Sylvester–Gallai Theorems for Complex Numbers and Quaternions. Discrete & Computational Geometry. 35(3). 361–373. 16 indexed citations

9.

Elkies, Noam D. & Curtis T. McMullen. (2005). Correction to “Gaps in n mod 1 and ergodic Theory”. Duke Mathematical Journal. 129(2). 1 indexed citations

10.

Elkies, Noam D.. (2005). New Directions in Enumerative Chess Problems. The Electronic Journal of Combinatorics. 11(2). 1 indexed citations

11.

Elkies, Noam D., et al.. (2004). Curves of every genus with many points. II. Asymptotically good families. Digital Access to Scholarship at Harvard (DASH) (Harvard University). 15 indexed citations

12.

Elkies, Noam D.. (2003). On the Sums. American Mathematical Monthly. 110(7). 561–573. 10 indexed citations

13.

Cohn, Henry & Noam D. Elkies. (2003). New upper bounds on sphere packings I. Annals of Mathematics. 157(2). 689–714. 141 indexed citations

14.

Elkies, Noam D.. (2001). Explicit modular towers. ArXiv.org. 28 indexed citations

15.

Elkies, Noam D.. (1999). The still-Life density problem and its generalizations. ArXiv.org. 3 indexed citations

16.

Elkies, Noam D., et al.. (1991). On the packing densities of superballs and other bodies. Inventiones mathematicae. 105(1). 613–639. 20 indexed citations

17.

Elkies, Noam D.. (1991). . International Mathematics Research Notices. 1991(7). 99–99. 44 indexed citations

18.

Elkies, Noam D.. (1989). Supersingular primes for elliptic curves over real number fields. Compositio Mathematica. 72(2). 165–172. 15 indexed citations

19.

Elkies, Noam D.. (1987). The existence of infinitely many supersingular primes for every elliptic curve over ?. Inventiones mathematicae. 89(3). 561–567. 78 indexed citations

20.

Elkies, Noam D.. (1986). An improved lower bound on the greatest element of a sum-distinct set of fixed order. Journal of Combinatorial Theory Series A. 41(1). 89–94. 11 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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