Shigeru Mukai

3.9k total citations
38 papers, 1.5k citations indexed

About

Shigeru Mukai is a scholar working on Geometry and Topology, Mathematical Physics and Mechanical Engineering. According to data from OpenAlex, Shigeru Mukai has authored 38 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 13 papers in Mathematical Physics and 11 papers in Mechanical Engineering. Recurrent topics in Shigeru Mukai's work include Algebraic Geometry and Number Theory (23 papers), Advanced Algebra and Geometry (11 papers) and Extraction and Separation Processes (7 papers). Shigeru Mukai is often cited by papers focused on Algebraic Geometry and Number Theory (23 papers), Advanced Algebra and Geometry (11 papers) and Extraction and Separation Processes (7 papers). Shigeru Mukai collaborates with scholars based in Japan and United States. Shigeru Mukai's co-authors include Шигефуми Мори, Fumio Sakai, Yukihiko Namikawa, Atsushi Moriwaki, Iku Nakamura, Yoichi Miyaoka, Takahide WAKAMATSU, Junji Shibata, Masaharu Konishi and Keiko Okamoto and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Shigeru Mukai

37 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Shigeru Mukai Japan	16	1.4k	932	215	171	150	38	1.5k
Carlos Simpson France	16	2.1k 1.4×	1.6k 1.7×	164 0.8×	279 1.6×	78 0.5×	37	2.2k
Yongbin Ruan United States	18	1.4k 1.0×	972 1.0×	139 0.6×	115 0.7×	203 1.4×	54	1.5k
Eckart Viehweg Germany	17	1.1k 0.8×	662 0.7×	241 1.1×	170 1.0×	158 1.1×	45	1.2k
Lothar Göttsche Italy	18	922 0.6×	690 0.7×	209 1.0×	59 0.3×	84 0.6×	33	1.0k
Victor V. Batyrev Germany	14	798 0.6×	365 0.4×	207 1.0×	103 0.6×	227 1.5×	28	850
George R. Kempf United States	16	1.3k 0.9×	809 0.9×	474 2.2×	147 0.9×	245 1.6×	57	1.5k
P. Μ. H. Wilson United Kingdom	14	749 0.5×	369 0.4×	111 0.5×	176 1.0×	48 0.3×	34	840
Wolfgang Lück Germany	21	1.2k 0.8×	1.3k 1.4×	377 1.8×	137 0.8×	188 1.3×	88	1.5k
Carel Faber Sweden	12	635 0.4×	480 0.5×	159 0.7×	49 0.3×	101 0.7×	32	745
Manfred Lehn Germany	10	1.1k 0.8×	849 0.9×	135 0.6×	92 0.5×	54 0.4×	17	1.2k

Countries citing papers authored by Shigeru Mukai

Since Specialization

Citations

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

Fields of papers citing papers by Shigeru Mukai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Shigeru Mukai

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

Mukai, Shigeru. (2019). Polarized K3 surfaces of genus thirteen. Advanced studies in pure mathematics. 315–326. 6 indexed citations

Mukai, Shigeru. (2018). K3 surfaces of genus sixteen. Advanced studies in pure mathematics. 379–396. 4 indexed citations

Mukai, Shigeru, et al.. (2018). Resultants and the Borcherds Φ-Function. American Journal of Mathematics. 140(6). 1471–1519. 1 indexed citations

Mukai, Shigeru. (2013). Counterexamples to Kodaira’s vanishing and Yau’s inequality in positive characteristics. Kyoto journal of mathematics. 53(2). 26 indexed citations

Mukai, Shigeru. (2012). Kummer's quartics and numerically reflective involutions of Enriques surfaces. Journal of the Mathematical Society of Japan. 64(1). 3 indexed citations

Mukai, Shigeru. (2010). Curves and symmetric spaces, II. Annals of Mathematics. 172(3). 1539–1558. 13 indexed citations

Mukai, Shigeru. (2010). Numerically trivial involutions of Kummer type of an Enriques surface. Kyoto journal of mathematics. 50(4). 16 indexed citations

Mukai, Shigeru, et al.. (2008). Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford’s example and an application to 𝐻𝑜𝑚 schemes. Journal of Algebraic Geometry. 18(4). 691–709. 5 indexed citations

Мори, Шигефуми & Shigeru Mukai. (2003). Classification of Fano 3-folds with B 2 ?2. manuscripta mathematica. 110(3). 407–407. 104 indexed citations

10.

Mukai, Shigeru. (1985). Mineral Processing and Refining of Rare Earth Elements. Tetsu-to-Hagane. 71(6). 633–644. 1 indexed citations

11.

Mukai, Shigeru. (1981). Duality between D(X) and with its application to picard sheaves. Nagoya Mathematical Journal. 81. 153–175. 266 indexed citations

12.

Mukai, Shigeru. (1978). Semi-homogeneous vector bundles on an abelian variety. Kyoto journal of mathematics. 18(2). 63 indexed citations

13.

WAKAMATSU, Takahide, et al.. (1978). Fundamental Study on the Flotation of Non-Sulfide Minerals Using Two Kinds of Collectors. 25(2). 96–100. 9 indexed citations

14.

Shibata, Junji, et al.. (1975). Treatment of Waste Water from Chromium Plating by Solvent Extraction. 1975(57). 34–41. 2 indexed citations

15.

Mukai, Shigeru, et al.. (1975). Effect of Temperature on the Solvent Extraction of Metal Ions with Versatic Acid 911. Journal of the Japan Institute of Metals and Materials. 39(9). 976–981. 3 indexed citations

16.

Mukai, Shigeru, et al.. (1973). Study on the Removal of Mercury Ion in Waste Water. Journal of the Mining and Metallurgical Institute of Japan. 89(1019). 29–34. 1 indexed citations

17.

Mukai, Shigeru, et al.. (1970). Copper Ion Adsorption on Sphalerites of Various Iron Contents. Journal of the Mining and Metallurgical Institute of Japan. 86(981). 25–30. 3 indexed citations

18.

Mukai, Shigeru. (1970). Principles of Sulphide Mineral Flotation. Journal of the Mining and Metallurgical Institute of Japan. 86(991). 625–630,643. 2 indexed citations

19.

Mukai, Shigeru, et al.. (1969). Desulphurization of Coal with Some Oxidizing Reagents (I). Journal of the Fuel Society of Japan. 48(12). 905–912. 2 indexed citations

20.

Mukai, Shigeru, et al.. (1968). Effect of Multi-Stage Crushing on the Size Distribution Control of Crushed Product of Iron Ore. Tetsu-to-Hagane. 54(12). 1232–1241. 1 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