Hershel M. Farkas

1.8k total citations · 1 hit paper
38 papers, 1.0k citations indexed

About

Hershel M. Farkas is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Hershel M. Farkas has authored 38 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 18 papers in Mathematical Physics and 13 papers in Algebra and Number Theory. Recurrent topics in Hershel M. Farkas's work include Algebraic Geometry and Number Theory (13 papers), Advanced Algebra and Geometry (12 papers) and Analytic Number Theory Research (12 papers). Hershel M. Farkas is often cited by papers focused on Algebraic Geometry and Number Theory (13 papers), Advanced Algebra and Geometry (12 papers) and Analytic Number Theory Research (12 papers). Hershel M. Farkas collaborates with scholars based in Israel and United States. Hershel M. Farkas's co-authors include Irwin Kra, H. E. Rauch, Isaac Chavel, B. A. Taylor, Robert C. Gunning, Marvin I. Knopp, David G. Ebin, Michael D. Fried, Takahiro Kawai and Daniele C. Struppa and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Hershel M. Farkas

34 papers receiving 827 citations

Hit Papers

Riemann Surfaces 1980 2026 1995 2010 1980 50 100 150 200 250
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.

  1. Riemann Surfaces
    1980 287 citations Hershel M. Farkas, Irwin Kra profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Hershel M. Farkas 611 384 317 224 178 38 1.0k
Kazuhiko Aomoto 406 0.7× 302 0.8× 215 0.7× 279 1.2× 222 1.2× 69 884
Gerrit Heckman 709 1.2× 689 1.8× 282 0.9× 258 1.2× 390 2.2× 16 1.2k
A. L. Onishchik 726 1.2× 640 1.7× 230 0.7× 360 1.6× 175 1.0× 22 1.0k
Mikio Sato 423 0.7× 387 1.0× 133 0.4× 210 0.9× 389 2.2× 34 1.1k
Lawrence Corwin 543 0.9× 729 1.9× 310 1.0× 418 1.9× 166 0.9× 61 1.1k
Garth Warner 481 0.8× 856 2.2× 349 1.1× 367 1.6× 123 0.7× 23 1.1k
John D. Fay 535 0.9× 425 1.1× 192 0.6× 163 0.7× 361 2.0× 5 982
S. J. Patterson 654 1.1× 856 2.2× 367 1.2× 354 1.6× 153 0.9× 47 1.2k
Bent Ørsted 394 0.6× 638 1.7× 661 2.1× 186 0.8× 176 1.0× 91 1.1k
Pierre Cartier 466 0.8× 373 1.0× 82 0.3× 364 1.6× 163 0.9× 67 910

Countries citing papers authored by Hershel M. Farkas

Since Specialization
Citations

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

Fields of papers citing papers by Hershel M. Farkas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hershel M. Farkas. 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 Hershel M. Farkas. The network helps show where Hershel M. Farkas may publish in the future.

Co-authorship network of co-authors of Hershel M. Farkas

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

All Works

20 of 20 papers shown
1.
Farkas, Hershel M., Robert C. Gunning, Marvin I. Knopp, & B. A. Taylor. (2012). From Fourier Analysis and Number Theory to Radon Transforms and Geometry. CERN Document Server (European Organization for Nuclear Research). 27 indexed citations
2.
Struppa, Daniele C., Hershel M. Farkas, Takahiro Kawai, Peter Kuchment, & Shlomo Sternberg. (2011). Remembering Leon Ehrenpreis: 1930-2010. Notices of the American Mathematical Society. 58(5). 674–681. 2 indexed citations
3.
Farkas, Hershel M., et al.. (2010). Generalizations of Thomae's Formula for Zn Curves. CERN Document Server (European Organization for Nuclear Research). 7 indexed citations
4.
Farkas, Hershel M., et al.. (2008). An elementary proof of Thomae’s formulae. 1–14. 2 indexed citations
5.
Farkas, Hershel M.. (2006). Sums of squares and triangular numbers. 1–11. 1 indexed citations
6.
Farkas, Hershel M.. (2006). Sums of Squares and Triangular Numbers. 6 indexed citations
7.
Farkas, Hershel M. & Irwin Kra. (2001). Theta Constants, Riemann Surfaces and the Modular Group. Graduate studies in mathematics. 71 indexed citations
8.
Farkas, Hershel M. & Irwin Kra. (1993). Automorphic forms for subgroups of the modular group. Israel Journal of Mathematics. 82(1-3). 87–131. 9 indexed citations
9.
Farkas, Hershel M.. (1987). Unramified double coverings of hyperelliptic surfaces. II. Proceedings of the American Mathematical Society. 101(3). 470–474. 4 indexed citations
10.
Chavel, Isaac & Hershel M. Farkas. (1985). Differential Geometry and Complex Analysis. CERN Document Server (European Organization for Nuclear Research). 78 indexed citations
11.
Farkas, Hershel M.. (1984). On fay’s tri-secant formula. Journal d Analyse Mathématique. 44(1). 205–217. 3 indexed citations
12.
Rauch, H. E. & Hershel M. Farkas. (1974). Theta functions with applications to Riemann surfaces. Williams & Wilkins eBooks. 74 indexed citations
13.
Farkas, Hershel M.. (1971). Abelian differentials with double zeros. Proceedings of the American Mathematical Society. 28(1). 155–162. 3 indexed citations
14.
Farkas, Hershel M.. (1971). Period relations for hyperelliptic riemann surfaces. Israel Journal of Mathematics. 10(3). 289–301. 3 indexed citations
15.
Farkas, Hershel M. & H. E. Rauch. (1970). Period Relations of Schottky Type on Riemann Surfaces. Annals of Mathematics. 92(3). 434–434. 24 indexed citations
16.
Farkas, Hershel M. & H. E. Rauch. (1969). TWO KINDS OF THETA CONSTANTS AND PERIOD RELATIONS ON A RIEMANN SURFACE. Proceedings of the National Academy of Sciences. 62(3). 679–686. 7 indexed citations
17.
Farkas, Hershel M.. (1969). THETA CONSTANTS, MODULI, AND COMPACT RIEMANN SURFACES. Proceedings of the National Academy of Sciences. 62(2). 320–325. 6 indexed citations
18.
Farkas, Hershel M.. (1968). Special Divisors on Compact Riemann Surfaces. Proceedings of the American Mathematical Society. 19(2). 315–315. 2 indexed citations
19.
Farkas, Hershel M.. (1968). Special divisors on compact Riemann surfaces. Proceedings of the American Mathematical Society. 19(2). 315–318. 4 indexed citations
20.
Rauch, H. E. & Hershel M. Farkas. (1968). RELATIONS BETWEEN TWO KINDS OF THETA CONSTANTS ON A RIEMANN SURFACE. Proceedings of the National Academy of Sciences. 59(1). 52–55. 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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