Michael Shapiro

2.8k total citations · 1 hit paper
66 papers, 1.3k citations indexed

About

Michael Shapiro is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Michael Shapiro has authored 66 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Geometry and Topology, 29 papers in Mathematical Physics and 23 papers in Algebra and Number Theory. Recurrent topics in Michael Shapiro's work include Algebraic structures and combinatorial models (31 papers), Advanced Algebra and Geometry (23 papers) and Advanced Topics in Algebra (20 papers). Michael Shapiro is often cited by papers focused on Algebraic structures and combinatorial models (31 papers), Advanced Algebra and Geometry (23 papers) and Advanced Topics in Algebra (20 papers). Michael Shapiro collaborates with scholars based in United States, Israel and Sweden. Michael Shapiro's co-authors include Alek Vainshtein, Michael Gekhtman, Sergey Fomin, Dylan P. Thurston, Boris Shapiro, M. Gekhtman, Torsten Ekedahl, Сергей Константинович Ландо, Anna Felikson and Pavel Tumarkin and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review A and Communications in Mathematical Physics.

In The Last Decade

Michael Shapiro

60 papers receiving 1.1k citations

Hit Papers

Cluster algebras and triangulated surfaces. Part I: Clust... 2008 2026 2014 2020 2008 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. Cluster algebras and triangulated surfaces. Part I: Cluster complexes
    2008 253 citations Michael Shapiro et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Shapiro United States 18 1.0k 563 470 420 371 66 1.3k
Vladimir Retakh United States 15 919 0.9× 670 1.2× 513 1.1× 378 0.9× 418 1.1× 58 1.4k
Masatoshi Noumi Japan 22 951 0.9× 580 1.0× 683 1.5× 431 1.0× 195 0.5× 66 1.3k
E. Mukhin United States 19 1.1k 1.0× 653 1.2× 598 1.3× 336 0.8× 206 0.6× 92 1.2k
Corrado De Concini Italy 21 1.2k 1.2× 656 1.2× 279 0.6× 840 2.0× 538 1.5× 60 1.5k
Sergei Gelfand United States 15 1.4k 1.4× 867 1.5× 377 0.8× 1.0k 2.5× 393 1.1× 28 1.7k
Rinat Kashaev Russia 18 977 1.0× 251 0.4× 491 1.0× 463 1.1× 208 0.6× 52 1.2k
Miles Reid United Kingdom 20 1.1k 1.1× 277 0.5× 234 0.5× 603 1.4× 149 0.4× 34 1.4k
Yuri I. Manin Germany 18 1.5k 1.4× 740 1.3× 359 0.8× 1.1k 2.7× 165 0.4× 58 1.9k
Grigori Olshanski Russia 23 580 0.6× 376 0.7× 231 0.5× 902 2.1× 661 1.8× 70 1.6k
Gerrit Heckman Netherlands 10 709 0.7× 258 0.5× 390 0.8× 689 1.6× 196 0.5× 16 1.2k

Countries citing papers authored by Michael Shapiro

Since Specialization
Citations

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

Fields of papers citing papers by Michael Shapiro

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Shapiro

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Shapiro. A scholar is included among the top collaborators of Michael Shapiro 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 Michael Shapiro. Michael Shapiro 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.
Shapiro, Michael, et al.. (2024). Noncommutative Networks on a Cylinder. Communications in Mathematical Physics. 405(5). 2 indexed citations
2.
Shapiro, Boris, et al.. (2023). Introducing isodynamic points for binary forms and their ratios. 9(1). 1 indexed citations
3.
Ovsienko, Valentin, et al.. (2019). Cluster algebras with Grassmann variables. arXiv (Cornell University). 26(0). 1–15. 8 indexed citations
4.
Shapiro, Michael, et al.. (2018). Drinfeld double of GL <sub>n</sub> and generalized cluster structures. MPG.PuRe (Max Planck Society). 11 indexed citations
5.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2016). Generalized cluster structure on the Drinfeld double of <i>GL</i><sub><i>n</i></sub>. Comptes Rendus Mathématique. 5 indexed citations
6.
Gekhtman, Michael, Michael Shapiro, Serge Tabachnikov, & Alek Vainshtein. (2016). Integrable cluster dynamics of directed networks and pentagram maps. Advances in Mathematics. 300. 390–450. 18 indexed citations
7.
Felikson, Anna, Michael Shapiro, & Pavel Tumarkin. (2012). Cluster algebras and triangulated orbifolds. Advances in Mathematics. 231(5). 2953–3002. 31 indexed citations
8.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2010). Cluster Algebras and Poisson Geometry. Mathematical surveys and monographs. 120 indexed citations
9.
Shadrin, Sergey, Michael Shapiro, & Alek Vainshtein. (2007). Chamber behavior of double Hurwitz numbers in genus 0. Advances in Mathematics. 217(1). 79–96. 15 indexed citations
10.
Dykman, M. I., Ira B. Schwartz, & Michael Shapiro. (2005). Scaling in activated escape of underdamped systems. Physical Review E. 72(2). 21102–21102. 19 indexed citations
11.
Shapiro, Boris, Michael Shapiro, & Alek Vainshtein. (2005). Periodic de Bruijn triangles: exact and asymptotic results. Discrete Mathematics. 298(1-3). 321–333. 4 indexed citations
12.
Shapiro, Michael, et al.. (2004). On the Structure of the Set of Zeros of Quaternionic Polynomials. Complex Variables Theory and Application An International Journal. 49(6). 379–389. 52 indexed citations
13.
Dykman, M. I., F. M. Izrailev, Lea F. Santos, & Michael Shapiro. (2004). Many-particle localization by constructed disorder and quantum computing with coupled qubits. arXiv (Cornell University).
14.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2002). The number of connected components in double Bruhat cells for nonsimply-laced groups. Proceedings of the American Mathematical Society. 131(3). 731–739. 4 indexed citations
15.
Ekedahl, Torsten, Сергей Константинович Ландо, Michael Shapiro, & Alek Vainshtein. (2000). On Hodge integrals and Hurwitz numbers. arXiv (Cornell University). 1 indexed citations
16.
Shapiro, Boris & Michael Shapiro. (1998). On ring generated by Chern 2-forms on SL_n/B. 326(1). 75–80. 3 indexed citations
17.
Montgomery, Richard, Michael Shapiro, & Alexander Stolin. (1997). A Nonintegrable Sub-Riemannian Geodesic Flow on a Carnot Group. Journal of Dynamical and Control Systems. 3(4). 519–530. 13 indexed citations
18.
Shapiro, Boris & Michael Shapiro. (1995). On the boundary of totally positive upper triangular matrices. Linear Algebra and its Applications. 231. 105–109. 8 indexed citations
19.
Shapiro, Michael. (1992). Topology of the space of nondegenerate curves. Functional Analysis and Its Applications. 26(3). 227–229. 2 indexed citations
20.
Shapiro, Michael, et al.. (1988). Connection between varieties of groups and varieties of Lie rings. Siberian Mathematical Journal. 28(5). 771–772. 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.

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