Michael Gekhtman

1.1k total citations
33 papers, 478 citations indexed

About

Michael Gekhtman is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Michael Gekhtman has authored 33 papers receiving a total of 478 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 16 papers in Algebra and Number Theory and 15 papers in Mathematical Physics. Recurrent topics in Michael Gekhtman's work include Algebraic structures and combinatorial models (20 papers), Advanced Topics in Algebra (16 papers) and Nonlinear Waves and Solitons (13 papers). Michael Gekhtman is often cited by papers focused on Algebraic structures and combinatorial models (20 papers), Advanced Topics in Algebra (16 papers) and Nonlinear Waves and Solitons (13 papers). Michael Gekhtman collaborates with scholars based in United States, Israel and Canada. Michael Gekhtman's co-authors include Michael Shapiro, Alek Vainshtein, Leonid Faybusovich, Shaun Fallat, Alex Kasman, Anthony M. Bloch, Serge Tabachnikov, Charles R. Johnson, Olga Kuznetsova and Tomoki Nakanishi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physics Letters A and Physica D Nonlinear Phenomena.

In The Last Decade

Michael Gekhtman

30 papers receiving 443 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Gekhtman United States 12 386 237 204 168 110 33 478
Rutwig Campoamor-Stursberg Spain 12 358 0.9× 295 1.2× 336 1.6× 151 0.9× 44 0.4× 124 566
S. M. Natanzon Russia 11 474 1.2× 237 1.0× 99 0.5× 325 1.9× 77 0.7× 77 634
Oleg Chalykh United Kingdom 13 441 1.1× 462 1.9× 132 0.6× 215 1.3× 62 0.6× 32 616
Эмма Превиато United States 12 367 1.0× 408 1.7× 77 0.4× 216 1.3× 33 0.3× 55 575
Teruhisa Tsuda Japan 12 316 0.8× 317 1.3× 87 0.4× 54 0.3× 39 0.4× 23 376
Hidetaka Sakai Japan 7 324 0.8× 357 1.5× 86 0.4× 68 0.4× 29 0.3× 10 429
M. Gekhtman United States 12 182 0.5× 196 0.8× 91 0.4× 117 0.7× 35 0.3× 23 329
Katsuhisa Mimachi Japan 15 530 1.4× 299 1.3× 408 2.0× 269 1.6× 86 0.8× 57 712
Nguyen Tien Zung France 12 318 0.8× 314 1.3× 86 0.4× 218 1.3× 20 0.2× 32 505
Pär Kurlberg Sweden 12 181 0.5× 115 0.5× 136 0.7× 216 1.3× 53 0.5× 35 378

Countries citing papers authored by Michael Gekhtman

Since Specialization
Citations

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

Fields of papers citing papers by Michael Gekhtman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Gekhtman

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Gekhtman. A scholar is included among the top collaborators of Michael Gekhtman 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 Gekhtman. Michael Gekhtman 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.
Gekhtman, Michael, et al.. (2025). On bounded ratios of minors of totally positive matrices. Linear Algebra and its Applications. 715. 46–67.
2.
Gekhtman, Michael, et al.. (2023). Validity of Tests for Time-to-Event Endpoints in Studies with the Pocock and Simon Covariate-Adaptive Randomization. Statistics in Biopharmaceutical Research. 1–15. 3 indexed citations
3.
Gekhtman, Michael & Tomoki Nakanishi. (2019). Asymptotic Sign Coherence Conjecture. Experimental Mathematics. 31(2). 497–505. 1 indexed citations
4.
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
5.
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
6.
Francesco, Philippe Di, Michael Gekhtman, Atsuo Kuniba, & Masahito Yamazaki. (2013). Special issue on cluster algebras in mathematical physics. Journal of Physics A Mathematical and Theoretical. 46(48). 480201–480201. 1 indexed citations
7.
Vainshtein, Alek, Serge Tabachnikov, Michael Shapiro, & Michael Gekhtman. (2012). Higher pentagram maps, weighted directed networks, and cluster dynamics. Iris (Roma Tre University). 19(0). 1–17. 19 indexed citations
8.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2011). Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective. Acta Mathematica. 206(2). 245–310. 20 indexed citations
9.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2010). Cluster Algebras and Poisson Geometry. Mathematical surveys and monographs. 120 indexed citations
10.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2009). Poisson geometry of directed networks in a disk. Selecta Mathematica. 15(1). 61–103. 17 indexed citations
11.
Gekhtman, Michael, Michael Shapiro, & Alek Vainshtein. (2007). Correction to “Cluster algebras and Weil-Petersson forms”. Duke Mathematical Journal. 139(2).
12.
Bloch, Anthony M. & Michael Gekhtman. (2006). Lie algebraic aspects of the finite nonperiodic Toda flows. Journal of Computational and Applied Mathematics. 202(1). 3–25. 3 indexed citations
13.
Gekhtman, Michael & Alex Kasman. (2006). Tau-functions, Grassmannians and rank one conditions. Journal of Computational and Applied Mathematics. 202(1). 80–87. 4 indexed citations
14.
Fallat, Shaun, et al.. (2006). Compressions of Totally Positive Matrices. SIAM Journal on Matrix Analysis and Applications. 28(1). 68–80. 8 indexed citations
15.
Gekhtman, Michael & Charles R. Johnson. (2004). The linear interpolation problem for totally positive matrices. Linear Algebra and its Applications. 393. 175–178.
16.
Bloch, Anthony M., et al.. (2004). Qualitative behavior of non-Abelian Toda-like flows. Physica D Nonlinear Phenomena. 199(3-4). 317–338. 1 indexed citations
17.
Fallat, Shaun, Michael Gekhtman, & Charles R. Johnson. (2003). Multiplicative principal-minor inequalities for totally nonnegative matrices. Advances in Applied Mathematics. 30(3). 442–470. 10 indexed citations
18.
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
19.
Faybusovich, Leonid & Michael Gekhtman. (1999). On Schur flows. Journal of Physics A Mathematical and General. 32(25). 4671–4680. 22 indexed citations
20.
Bloch, Anthony M. & Michael Gekhtman. (1998). Hamiltonian and gradient structures in the Toda flows. Journal of Geometry and Physics. 27(3-4). 230–248. 14 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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