Satoshi Murai

874 total citations
63 papers, 310 citations indexed

About

Satoshi Murai is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Satoshi Murai has authored 63 papers receiving a total of 310 indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Algebra and Number Theory, 42 papers in Geometry and Topology and 33 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Satoshi Murai's work include Commutative Algebra and Its Applications (50 papers), Advanced Combinatorial Mathematics (32 papers) and Algebraic structures and combinatorial models (22 papers). Satoshi Murai is often cited by papers focused on Commutative Algebra and Its Applications (50 papers), Advanced Combinatorial Mathematics (32 papers) and Algebraic structures and combinatorial models (22 papers). Satoshi Murai collaborates with scholars based in Japan, United States and Germany. Satoshi Murai's co-authors include Eran Nevo, Kazunori Matsuda, Takayuki Hibi, Naoki Terai, Irena Peeva, Takuro Abe, Mikiya Masuda, Isabella Novik, Jürgen Herzog and Takashi Satō and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Acta Mathematica.

In The Last Decade

Satoshi Murai

56 papers receiving 283 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Satoshi Murai Japan	9	251	193	173	157	40	63	310
Tim Römer Germany	12	273 1.1×	247 1.3×	131 0.8×	94 0.6×	27 0.7×	42	316
Junzo Watanabe Japan	12	367 1.5×	313 1.6×	161 0.9×	130 0.8×	42 1.1×	34	428
Annetta Aramova Bulgaria	11	416 1.7×	353 1.8×	287 1.7×	75 0.5×	24 0.6×	21	443
Tadahito Harima Japan	11	309 1.2×	250 1.3×	166 1.0×	126 0.8×	24 0.6×	22	349
Jürgen Stückrad Germany	12	579 2.3×	509 2.6×	241 1.4×	55 0.4×	50 1.3×	30	623
Irena Swanson United States	12	525 2.1×	431 2.2×	306 1.8×	24 0.2×	45 1.1×	41	594
Andrew R. Kustin United States	15	480 1.9×	436 2.3×	230 1.3×	41 0.3×	60 1.5×	51	518
Jay Shapiro United States	12	503 2.0×	346 1.8×	160 0.9×	64 0.4×	26 0.7×	49	537
Hema Srinivasan United States	8	193 0.8×	180 0.9×	108 0.6×	37 0.2×	19 0.5×	29	216
Xinxian Zheng Germany	8	362 1.4×	268 1.4×	283 1.6×	72 0.5×	8 0.2×	15	378

Countries citing papers authored by Satoshi Murai

Since Specialization

Citations

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

Fields of papers citing papers by Satoshi Murai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Satoshi Murai

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

Murai, Satoshi, et al.. (2025). Superspace coinvariants and hyperplane arrangements. Advances in Mathematics. 467. 110185–110185. 1 indexed citations

Murai, Satoshi, et al.. (2023). Affine Stresses, Inverse Systems, and Reconstruction Problems. International Mathematics Research Notices. 2024(10). 8540–8556. 1 indexed citations

Murai, Satoshi. (2020). Betti tables of monomial ideals fixed by permutations of the variables. Transactions of the American Mathematical Society. 373(10). 7087–7107. 4 indexed citations

Abe, Takuro, et al.. (2019). Solomon–Terao algebra of hyperplane arrangements. Journal of the Mathematical Society of Japan. 71(4). 3 indexed citations

Abe, Takuro, et al.. (2019). Hessenberg varieties and hyperplane arrangements. Journal für die reine und angewandte Mathematik (Crelles Journal). 2020(764). 241–286. 17 indexed citations

Cook, David, et al.. (2018). Lefschetz properties of balanced 3-polytopes. Project Euclid (Cornell University). 2 indexed citations

Murai, Satoshi, et al.. (2017). The numbers of edges of 5-polytopes. arXiv (Cornell University).

Murai, Satoshi & Yusuke Suzuki. (2017). Balanced subdivisions and flips on surfaces. Proceedings of the American Mathematical Society. 146(3). 939–951. 4 indexed citations

Murai, Satoshi, et al.. (2016). Uniformly Cohen–Macaulay simplicial complexes and almost Gorenstein* simplicial complexes. Journal of Algebra. 455. 14–31. 7 indexed citations

10.

Murai, Satoshi & Eran Nevo. (2014). The flag 𝑓-vectors of Gorenstein* order complexes of dimension 3. Proceedings of the American Mathematical Society. 142(5). 1527–1538. 2 indexed citations

11.

Murai, Satoshi. (2011). Spheres arising from multicomplexes. Journal of Combinatorial Theory Series A. 118(8). 2167–2184. 4 indexed citations

12.

Murai, Satoshi. (2010). Free resolutions of lex-ideals over a Koszul toric ring. Transactions of the American Mathematical Society. 363(2). 857–885. 1 indexed citations

13.

Gasharov, Vesselin, Satoshi Murai, & Irena Peeva. (2010). Applications of mapping cones over Clements–Lindström rings. Journal of Algebra. 325(1). 34–55. 1 indexed citations

14.

Murai, Satoshi, et al.. (2010). The Lex-Plus-Powers Conjecture holds for pure powers. Advances in Mathematics. 226(4). 3511–3539. 9 indexed citations

15.

Murai, Satoshi. (2009). Algebraic shifting of strongly edge decomposable spheres. Journal of Combinatorial Theory Series A. 117(1). 1–16. 5 indexed citations

16.

Murai, Satoshi, et al.. (2009). Betti numbers of lex ideals over some Macaulay-Lex rings. Journal of Algebraic Combinatorics. 31(2). 299–318. 8 indexed citations

17.

Murai, Satoshi & Takayuki Hibi. (2008). The depth of an ideal with a given Hilbert function. Proceedings of the American Mathematical Society. 136(5). 1533–1538. 7 indexed citations

18.

Murai, Satoshi. (2007). Generic initial ideals and squeezed spheres. Advances in Mathematics. 214(2). 701–729. 11 indexed citations

19.

Murai, Satoshi. (2007). A combinatorial proof of Gotzmann’s persistence theorem for monomial ideals. European Journal of Combinatorics. 29(1). 322–333. 3 indexed citations

20.

Murai, Satoshi. (2006). Algebraic shifting of cyclic polytopes and stacked polytopes. Discrete Mathematics. 307(14). 1707–1721. 4 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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