Edward F. Schaefer

964 total citations
17 papers, 423 citations indexed

About

Edward F. Schaefer is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Edward F. Schaefer has authored 17 papers receiving a total of 423 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 4 papers in Mathematical Physics and 4 papers in Computational Theory and Mathematics. Recurrent topics in Edward F. Schaefer's work include Algebraic Geometry and Number Theory (13 papers), Geometric and Algebraic Topology (5 papers) and Polynomial and algebraic computation (4 papers). Edward F. Schaefer is often cited by papers focused on Algebraic Geometry and Number Theory (13 papers), Geometric and Algebraic Topology (5 papers) and Polynomial and algebraic computation (4 papers). Edward F. Schaefer collaborates with scholars based in United States, Germany and United Kingdom. Edward F. Schaefer's co-authors include Bjorn Poonen, Michael Stoll, E. V. Flynn, William Stein, Franck Leprévost and Tom Fisher and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Edward F. Schaefer

17 papers receiving 382 citations

Peers

Edward F. Schaefer
John Voight United States
Alan G. B. Lauder United Kingdom
Hans-Georg Rück Germany
Eyal Z. Goren Canada
Peter Stevenhagen Netherlands
Alice Silverberg United States
Andrew V. Sutherland United States
István Gaál Hungary
Boaz Tsaban Israel
Michael A. Bennett Canada
John Voight United States
Edward F. Schaefer
Citations per year, relative to Edward F. Schaefer Edward F. Schaefer (= 1×) peers John Voight

Countries citing papers authored by Edward F. Schaefer

Since Specialization
Citations

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

Fields of papers citing papers by Edward F. Schaefer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Edward F. Schaefer. 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 Edward F. Schaefer. The network helps show where Edward F. Schaefer may publish in the future.

Co-authorship network of co-authors of Edward F. Schaefer

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

All Works

17 of 17 papers shown
1.
Schaefer, Edward F.. (2016). Explicit descent for Jacobians of prime power cyclic covers of the projective line. Transactions of the American Mathematical Society. 370(5). 3487–3505. 1 indexed citations
2.
Schaefer, Edward F.. (2015). Reviews. American Mathematical Monthly. 122(1). 83–83. 1 indexed citations
3.
Fisher, Tom, Edward F. Schaefer, & Michael Stoll. (2010). The yoga of the Cassels–Tate pairing. LMS Journal of Computation and Mathematics. 13. 451–460. 2 indexed citations
4.
Schaefer, Edward F.. (2007). Computing a Selmer of a Jacobian using functions on the curve. Mathematische Annalen. 339(1). 1–1. 3 indexed citations
5.
Schaefer, Edward F., et al.. (2005). Computing the Selmer group of an isogeny between Abelian varieties using a further isogeny to a Jacobian. Journal of Number Theory. 115(1). 158–175. 5 indexed citations
6.
7.
Schaefer, Edward F., et al.. (2003). Selmer groups of elliptic curves that can be arbitrarily large. Journal of Number Theory. 99(1). 148–163. 15 indexed citations
8.
Schaefer, Edward F., et al.. (2003). A SIMPLIFIED AES ALGORITHM AND ITS LINEAR AND DIFFERENTIAL CRYPTANALYSES. Cryptologia. 27(2). 148–177. 53 indexed citations
9.
Schaefer, Edward F. & Michael Stoll. (2003). How to do a 𝑝-descent on an elliptic curve. Transactions of the American Mathematical Society. 356(3). 1209–1231. 35 indexed citations
10.
Flynn, E. V., et al.. (2001). Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Mathematics of Computation. 70(236). 1675–1697. 27 indexed citations
11.
Schaefer, Edward F., et al.. (2000). Computing the $p$-Selmer group of an elliptic curve. Transactions of the American Mathematical Society. 352(12). 5583–5597. 13 indexed citations
12.
Schaefer, Edward F.. (1998). Computing a Selmer group of a Jacobian using functions on the curve. Mathematische Annalen. 310(3). 447–471. 51 indexed citations
13.
Poonen, Bjorn & Edward F. Schaefer. (1997). EXPLICIT DESCENT FOR JACOBIANS OF CYCLIC COVERS OF THE PROJECTIVE LINE. 59 indexed citations
14.
Flynn, E. V., Bjorn Poonen, & Edward F. Schaefer. (1997). Cycles of quadratic polynomials and rational points on a genus-2 curve. Duke Mathematical Journal. 90(3). 53 indexed citations
15.
Schaefer, Edward F.. (1996). A SIMPLIFIED DATA ENCRYPTION STANDARD ALGORITHM. Cryptologia. 20(1). 77–84. 44 indexed citations
16.
Schaefer, Edward F., et al.. (1996). Arithmetic and geometry of the curve y³+1=x⁴. Acta Arithmetica. 74(3). 241–257. 11 indexed citations
17.
Schaefer, Edward F.. (1995). 2-Descent on the Jacobians of Hyperelliptic Curves. Journal of Number Theory. 51(2). 219–232. 44 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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