M. Gekhtman

612 total citations
23 papers, 329 citations indexed

About

M. Gekhtman is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, M. Gekhtman has authored 23 papers receiving a total of 329 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 12 papers in Statistical and Nonlinear Physics and 10 papers in Mathematical Physics. Recurrent topics in M. Gekhtman's work include Nonlinear Waves and Solitons (12 papers), Algebraic structures and combinatorial models (11 papers) and Advanced Topics in Algebra (7 papers). M. Gekhtman is often cited by papers focused on Nonlinear Waves and Solitons (12 papers), Algebraic structures and combinatorial models (11 papers) and Advanced Topics in Algebra (7 papers). M. Gekhtman collaborates with scholars based in United States, Israel and Canada. M. Gekhtman's co-authors include Michael Shapiro, Alek Vainshtein, Marco Bertola, Jacek Szmigielski, Yu. M. Berezanskiĭ, Michael Shmoish, Alex Kasman, Leiba Rodman and А. М. Столин and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Linear Algebra and its Applications.

In The Last Decade

M. Gekhtman

20 papers receiving 313 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
M. Gekhtman United States	12	196	182	117	91	63	23	329
Hidetaka Sakai Japan	7	357 1.8×	324 1.8×	68 0.6×	86 0.9×	65 1.0×	10	429
Yasushi Komori Japan	11	173 0.9×	171 0.9×	107 0.9×	175 1.9×	45 0.7×	51	333
A. Popolitov Russia	10	109 0.6×	215 1.2×	119 1.0×	59 0.6×	21 0.3×	35	281
S. M. Natanzon Russia	11	237 1.2×	474 2.6×	325 2.8×	99 1.1×	74 1.2×	77	634
Hjalmar Rosengren Sweden	12	122 0.6×	192 1.1×	117 1.0×	171 1.9×	116 1.8×	42	379
H.T. Koelink Netherlands	11	109 0.6×	161 0.9×	100 0.9×	175 1.9×	199 3.2×	22	376
Jyoichi Kaneko Japan	6	77 0.4×	117 0.6×	94 0.8×	86 0.9×	62 1.0×	18	258
Pol Vanhaecke France	13	306 1.6×	319 1.8×	234 2.0×	129 1.4×	32 0.5×	39	471
Эмма Превиато United States	12	408 2.1×	367 2.0×	216 1.8×	77 0.8×	34 0.5×	55	575
Galina Filipuk Poland	9	205 1.0×	103 0.6×	27 0.2×	75 0.8×	156 2.5×	70	315

Countries citing papers authored by M. Gekhtman

Since Specialization

Citations

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

Fields of papers citing papers by M. Gekhtman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of M. Gekhtman

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

Gekhtman, M., Michael Shapiro, & Alek Vainshtein. (2024). A Plethora of Cluster Structures on 𝐺𝐿_{𝑛}. Memoirs of the American Mathematical Society. 297(1486).

Gekhtman, M., Michael Shapiro, & Alek Vainshtein. (2017). Exotic cluster structures on 𝑆𝐿_{𝑛}: the Cremmer–Gervais case. Memoirs of the American Mathematical Society. 246(1165). 0–0. 2 indexed citations

Gekhtman, M., Michael Shapiro, А. М. Столин, & Alek Vainshtein. (2012). Poisson Structures Compatible with the Cluster Algebra Structure in Grassmannians. Letters in Mathematical Physics. 100(2). 139–150. 4 indexed citations

Bertola, Marco, M. Gekhtman, & Jacek Szmigielski. (2009). Cauchy biorthogonal polynomials. Journal of Approximation Theory. 162(4). 832–867. 32 indexed citations

Bertola, Marco, M. Gekhtman, & Jacek Szmigielski. (2009). The Cauchy Two-Matrix Model. Communications in Mathematical Physics. 287(3). 983–1014. 30 indexed citations

Gekhtman, M., et al.. (2008). The family of analytic Poisson brackets for the Camassa–Holm hierarchy. Mathematical Research Letters. 15(5). 867–879.

Bertola, Marco & M. Gekhtman. (2007). Biorthogonal Laurent Polynomials, Toplitz Determinants, Minimal Toda Orbits and Isomonodromic Tau Functions. Constructive Approximation. 26(3). 383–430. 11 indexed citations

Bertola, Marco & M. Gekhtman. (2007). Effective Inverse Spectral Problem for Rational Lax Matrices and Applications. International Mathematics Research Notices. 2007. 1 indexed citations

Gekhtman, M., Michael Shapiro, & Alek Vainshtein. (2003). Cluster Algebras and Poisson Geometry. Moscow Mathematical Journal. 3(3). 899–934. 86 indexed citations

10.

Gekhtman, M. & Alex Kasman. (2002). Integrable Systems and Rank-One Conditions for Rectangular Matrices. Theoretical and Mathematical Physics. 133(2). 1498–1503. 7 indexed citations

11.

Gekhtman, M. & Leiba Rodman. (2000). Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions. Linear Algebra and its Applications. 308(1-3). 1–29. 1 indexed citations

12.

Gekhtman, M. & Michael Shapiro. (1999). Noncommutative and commutative integrability of generic Toda flows in simple Lie algebras. Communications on Pure and Applied Mathematics. 52(1). 53–84. 22 indexed citations

13.

Gekhtman, M.. (1998). Hamiltonian Structure of Non-Abelian Toda Lattice. Letters in Mathematical Physics. 46(3). 189–205. 16 indexed citations

14.

Gekhtman, M. & Michael Shapiro. (1997). Completeness of real Toda flows and totally positive matrices. Mathematische Zeitschrift. 226(1). 51–66. 8 indexed citations

15.

Gekhtman, M. & Michael Shmoish. (1995). On invertibility of nonsquare generalized bezoutians. Linear Algebra and its Applications. 223-224. 205–241. 2 indexed citations

16.

Gekhtman, M.. (1995). Separation of variables in the classicalSL(N) magnetic chain. Communications in Mathematical Physics. 167(3). 593–605. 16 indexed citations

17.

Gekhtman, M., et al.. (1994). On the orthogonal polynomials in several variables. Integral Equations and Operator Theory. 19(4). 404–418. 15 indexed citations

18.

Gekhtman, M.. (1993). NonAbelian nonlinear lattice equations on finite interval. Journal of Physics A Mathematical and General. 26(22). 6303–6317. 12 indexed citations

19.

Gekhtman, M.. (1991). Solution of infinite Toda chains. Functional Analysis and Its Applications. 25(3). 230–232. 3 indexed citations

20.

Gekhtman, M.. (1990). Integration of non-Abelian Toda-type chains. Functional Analysis and Its Applications. 24(3). 231–233. 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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