Goro Shimura

10.2k total citations · 2 hit papers
109 papers, 5.3k citations indexed

About

Goro Shimura is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Goro Shimura has authored 109 papers receiving a total of 5.3k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Mathematical Physics, 69 papers in Geometry and Topology and 48 papers in Algebra and Number Theory. Recurrent topics in Goro Shimura's work include Advanced Algebra and Geometry (69 papers), Algebraic Geometry and Number Theory (48 papers) and Analytic Number Theory Research (35 papers). Goro Shimura is often cited by papers focused on Advanced Algebra and Geometry (69 papers), Algebraic Geometry and Number Theory (48 papers) and Analytic Number Theory Research (35 papers). Goro Shimura collaborates with scholars based in United States and Japan. Goro Shimura's co-authors include Marvin Tretkoff and YOZÔ MATSUSHIMA and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Annals of Mathematics.

In The Last Decade

Goro Shimura

104 papers receiving 3.9k citations

Hit Papers

align trajectories

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.

Introduction to the Arithmetic Theory of Automorphic Functions

1972 1.2k citations Goro Shimura et al. profile →
On Modular Forms of Half Integral Weight

1973 559 citations Goro Shimura Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Goro Shimura United States	34	4.4k	4.1k	2.8k	928	452	109	5.3k
Barry Mazur United States	33	3.1k 0.7×	4.1k 1.0×	1.8k 0.7×	468 0.5×	273 0.6×	109	4.6k
Nicholas M. Katz United States	32	2.7k 0.6×	3.2k 0.8×	1.7k 0.6×	743 0.8×	289 0.6×	117	4.1k
John Tate United States	30	2.3k 0.5×	3.5k 0.9×	1.7k 0.6×	494 0.5×	239 0.5×	71	4.3k
Henryk Iwaniec United States	36	2.9k 0.7×	2.3k 0.6×	4.6k 1.7×	1.7k 1.8×	529 1.2×	123	5.5k
Andrew Wiles United States	17	1.7k 0.4×	2.3k 0.6×	1.1k 0.4×	241 0.3×	174 0.4×	20	2.7k
Michael Artin United States	28	1.8k 0.4×	3.3k 0.8×	1.8k 0.7×	263 0.3×	336 0.7×	51	3.7k
Ken Ono United States	31	1.5k 0.3×	1.0k 0.3×	2.7k 1.0×	1.2k 1.3×	271 0.6×	157	3.2k
Irving Reiner United States	21	1.3k 0.3×	1.8k 0.5×	1.4k 0.5×	1.3k 1.4×	114 0.3×	94	3.2k
Hugh L. Montgomery United States	21	769 0.2×	870 0.2×	1.8k 0.7×	710 0.8×	549 1.2×	66	2.4k
T. A. Springer Netherlands	26	2.3k 0.5×	2.3k 0.6×	965 0.4×	1.4k 1.5×	121 0.3×	76	3.2k

Countries citing papers authored by Goro Shimura

Since Specialization

Citations

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

Fields of papers citing papers by Goro Shimura

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Goro Shimura

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Shimura, Goro. (2010). Arithmeticity in the Theory of Automorphic Forms. Mathematical surveys and monographs. 52 indexed citations

2.

Shimura, Goro. (2008). The critical values of certain Dirichlet series. Documenta Mathematica. 13. 775–794. 2 indexed citations

3.

Shimura, Goro. (2006). Integer-valued quadratic forms and quadratic Diophantine equations.. Documenta Mathematica. 11. 333–367. 11 indexed citations

4.

Shimura, Goro. (1997). Euler Products and Eisenstein Series. 87 indexed citations

5.

Shimura, Goro. (1994). Differential operators, holomorphic projection, and singular forms. Duke Mathematical Journal. 76(1). 21 indexed citations

6.

Shimura, Goro. (1983). Algebraic Relations Between Critical Values of Zeta Functions and Inner Products. American Journal of Mathematics. 105(1). 253–253. 29 indexed citations

7.

Shimura, Goro. (1982). The periods of certain automorphic forms of arthmetic type. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 28(3). 605–632. 8 indexed citations

8.

Shimura, Goro. (1981). The critical values of certain zeta functions associated with modular forms of half-integral weight. Journal of the Mathematical Society of Japan. 33(4). 30 indexed citations

9.

Shimura, Goro. (1979). Automorphic forms and the periods of abelian varieties. Journal of the Mathematical Society of Japan. 31(3). 48 indexed citations

10.

Shimura, Goro. (1976). Theta functions with complex multiplication. Duke Mathematical Journal. 43(4). 27 indexed citations

11.

Shimura, Goro. (1973). On the factors of the jacobian variety of a modular function field. Journal of the Mathematical Society of Japan. 25(3). 69 indexed citations

12.

Shimura, Goro. (1972). Class Fields Over Real Quadratic Fields and Hecke Operators. Annals of Mathematics. 95(1). 130–130. 41 indexed citations

13.

Shimura, Goro. (1971). On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields. Nagoya Mathematical Journal. 43. 199–208. 81 indexed citations

14.

Shimura, Goro. (1968). Algebraic varieties without deformation and the Chow variety. Journal of the Mathematical Society of Japan. 20(1-2). 6 indexed citations

15.

Shimura, Goro. (1964). On purely transcendental fields automorphic functions of several variable. Osaka Journal of Mathematics. 1(1). 1–14. 11 indexed citations

16.

Shimura, Goro. (1963). Arithmetic of alternating forms and quaternion hermitian forms. Journal of the Mathematical Society of Japan. 15(1). 46 indexed citations

17.

Shimura, Goro. (1962). On the class-fields obtained by complex multiplication of abelian varieties. OUKA (Osaka University Knowledge Archive) (Osaka University). 14(1). 33–44. 10 indexed citations

18.

Shimura, Goro. (1961). On the zeta-functions of the algebraic curves uniformized by certain automorphic functions. Journal of the Mathematical Society of Japan. 13(3). 33 indexed citations

19.

Shimura, Goro, et al.. (1960). On vector differential forms attached to automorphic forms.. Journal of the Mathematical Society of Japan. 12(3). 11 indexed citations

20.

Shimura, Goro. (1958). Modules des variétés abéliennes polarisées et fonctions modulaires, III. French digital mathematics library (Numdam). 10(2). 1–18. 5 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.

Explore authors with similar magnitude of impact