Rinat Kashaev

3.1k total citations
52 papers, 1.2k citations indexed

About

Rinat Kashaev is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, Rinat Kashaev has authored 52 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Geometry and Topology, 19 papers in Statistical and Nonlinear Physics and 14 papers in Mathematical Physics. Recurrent topics in Rinat Kashaev's work include Algebraic structures and combinatorial models (36 papers), Nonlinear Waves and Solitons (18 papers) and Geometric and Algebraic Topology (14 papers). Rinat Kashaev is often cited by papers focused on Algebraic structures and combinatorial models (36 papers), Nonlinear Waves and Solitons (18 papers) and Geometric and Algebraic Topology (14 papers). Rinat Kashaev collaborates with scholars based in Russia, Switzerland and Finland. Rinat Kashaev's co-authors include L. D. Faddeev, Vladimir V. Mangazeev, Yu. G. Stroganov, A. Yu. Volkov, С. М. Сергеев, Marcos Mariño, Olav Tirkkonen, Vladimir V. Bazhanov, Jørgen Ellegaard Andersen and I. G. Korepanov and has published in prestigious journals such as Nuclear Physics B, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Rinat Kashaev

47 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Rinat Kashaev Russia	18	977	491	463	310	251	52	1.2k
Kazuhiro Hikami Japan	21	964 1.0×	740 1.5×	323 0.7×	160 0.5×	331 1.3×	102	1.3k
E. Mukhin United States	19	1.1k 1.1×	598 1.2×	336 0.7×	183 0.6×	653 2.6×	92	1.2k
Bertrand Eynard France	15	454 0.5×	340 0.7×	380 0.8×	322 1.0×	88 0.4×	25	914
Minoru Wakimoto United States	15	1.1k 1.1×	700 1.4×	386 0.8×	297 1.0×	750 3.0×	34	1.3k
C.-M. Viallet France	18	601 0.6×	693 1.4×	281 0.6×	559 1.8×	203 0.8×	38	1.3k
T. Miwa Japan	19	839 0.9×	635 1.3×	245 0.5×	202 0.7×	344 1.4×	46	1.1k
Leonid Chekhov Russia	15	421 0.4×	293 0.6×	359 0.8×	234 0.8×	127 0.5×	68	753
Masato Okado Japan	21	1.2k 1.3×	703 1.4×	370 0.8×	164 0.5×	588 2.3×	67	1.4k
Gerrit Heckman Netherlands	10	709 0.7×	390 0.8×	689 1.5×	141 0.5×	258 1.0×	16	1.2k
Atsuo Kuniba Japan	23	1.2k 1.2×	720 1.5×	280 0.6×	167 0.5×	529 2.1×	90	1.4k

Countries citing papers authored by Rinat Kashaev

Since Specialization

Citations

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

Fields of papers citing papers by Rinat Kashaev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rinat Kashaev

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

Kashaev, Rinat, et al.. (2026). Multivariable Knot Polynomials from Braided Hopf Algebras with Automorphisms. Publications of the Research Institute for Mathematical Sciences. 62(1). 75–114.

Kashaev, Rinat. (2023). A Course on Hopf Algebras. Universitext.

Kashaev, Rinat & С. М. Сергеев. (2020). On the Spectrum of the Local $${\mathbb {P}}^2$$ Mirror Curve. Annales Henri Poincaré. 21(11). 3479–3497. 3 indexed citations

Kashaev, Rinat. (2017). Combinatorics of the Teichmüller TQFT. 3. 1–16.

Andersen, Jørgen Ellegaard, et al.. (2016). A TQFT FROM QUANTUM TEICHMULLER THEORY. 43 indexed citations

Kashaev, Rinat & Marcos Mariño. (2015). Operators from Mirror Curves and the Quantum Dilogarithm. Communications in Mathematical Physics. 346(3). 967–994. 31 indexed citations

Funar, Louis & Rinat Kashaev. (2013). Centrally extended mapping class groups from quantum Teichmüller theory. Advances in Mathematics. 252. 260–291. 3 indexed citations

Andersen, Jørgen Ellegaard & Rinat Kashaev. (2013). A new formulation of the Teichmüller TQFT. arXiv (Cornell University). 9 indexed citations

Kashaev, Rinat. (2010). Δ-groupoids in knot theory. Geometriae Dedicata. 150(1). 105–130. 2 indexed citations

10.

Kashaev, Rinat. (2006). On selfadjoint extensions of some difference operator. St Petersburg Mathematical Journal. 17(1). 157–167. 2 indexed citations

11.

Kashaev, Rinat. (2001). The Non-Compact Quantum Dilogarithm and the Baxter Equations. Journal of Statistical Physics. 102(3-4). 923–936. 13 indexed citations

12.

Kashaev, Rinat, et al.. (1998). Функциональное уравнение тетраэдров. Теоретическая и математическая физика. 117(3). 370–384. 10 indexed citations

13.

Kashaev, Rinat, I. G. Korepanov, & С. М. Сергеев. (1998). Functional tetrahedron equation. Theoretical and Mathematical Physics. 117(3). 1402–1413. 32 indexed citations

14.

Kashaev, Rinat. (1996). On discrete three-dimensional equations associated with the local Yang-Baxter relation. Letters in Mathematical Physics. 38(4). 389–397. 47 indexed citations

15.

Kashaev, Rinat & С. М. Сергеев. (1996). On pentagon, ten-term, and tetrahedron relations. 4 indexed citations

16.

Faddeev, L. D. & Rinat Kashaev. (1994). QUANTUM DILOGARITHM. Modern Physics Letters A. 9(5). 427–434. 187 indexed citations

17.

Kashaev, Rinat & Yu. G. Stroganov. (1993). GENERALIZED YANG-BAXTER EQUATION. Modern Physics Letters A. 8(24). 2299–2309. 4 indexed citations

18.

Kashaev, Rinat, Vladimir V. Mangazeev, & Yu. G. Stroganov. (1992). N³-STATE R-MATRIX RELATED WITH U_q(sl(3)) ALGEBRA AT q^2N=1. International Journal of Modern Physics A. 7(supp01a). 485–492. 1 indexed citations

19.

Bazhanov, Vladimir V., Rinat Kashaev, Vladimir V. Mangazeev, & Yu. G. Stroganov. (1991). (Z N×) n−1 generalization of the chiral Potts model. Communications in Mathematical Physics. 138(2). 393–408. 59 indexed citations

20.

Bazhanov, Vladimir V. & Rinat Kashaev. (1991). CyclicL-operator related with a 3-stateR-matrix. Communications in Mathematical Physics. 136(3). 607–623. 15 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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