E. Mukhin

2.6k total citations
92 papers, 1.2k citations indexed

About

E. Mukhin is a scholar working on Geometry and Topology, Algebra and Number Theory and Statistical and Nonlinear Physics. According to data from OpenAlex, E. Mukhin has authored 92 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 84 papers in Geometry and Topology, 59 papers in Algebra and Number Theory and 38 papers in Statistical and Nonlinear Physics. Recurrent topics in E. Mukhin's work include Algebraic structures and combinatorial models (82 papers), Advanced Topics in Algebra (54 papers) and Nonlinear Waves and Solitons (37 papers). E. Mukhin is often cited by papers focused on Algebraic structures and combinatorial models (82 papers), Advanced Topics in Algebra (54 papers) and Nonlinear Waves and Solitons (37 papers). E. Mukhin collaborates with scholars based in United States, Russia and Japan. E. Mukhin's co-authors include Alexander Varchenko, Edward Frenkel, Boris Feigin, T. Miwa, M. Jimbo, V. Tarasov, M. Jimbo, Charles A. S. Young, Yu. I. Manin and Vitaly Tarasov and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

E. Mukhin

84 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
E. Mukhin United States	19	1.1k	653	598	336	206	92	1.2k
Masato Okado Japan	21	1.2k 1.2×	588 0.9×	703 1.2×	370 1.1×	287 1.4×	67	1.4k
Alexander Molev Australia	17	955 0.9×	717 1.1×	537 0.9×	319 0.9×	179 0.9×	67	1.0k
Atsuo Kuniba Japan	23	1.2k 1.1×	529 0.8×	720 1.2×	280 0.8×	230 1.1×	90	1.4k
T. Miwa Japan	19	839 0.8×	344 0.5×	635 1.1×	245 0.7×	145 0.7×	46	1.1k
R. B. Zhang Australia	22	1.2k 1.1×	932 1.4×	630 1.1×	522 1.6×	83 0.4×	125	1.4k
Minoru Wakimoto United States	15	1.1k 1.0×	750 1.1×	700 1.2×	386 1.1×	73 0.4×	34	1.3k
Masatoshi Noumi Japan	22	951 0.9×	580 0.9×	683 1.1×	431 1.3×	195 0.9×	66	1.3k
Valentin Ovsienko France	21	736 0.7×	523 0.8×	550 0.9×	459 1.4×	74 0.4×	71	1.1k
V. Tarasov Russia	16	596 0.6×	298 0.5×	470 0.8×	236 0.7×	67 0.3×	47	766
Dimitry Leites Sweden	11	700 0.7×	513 0.8×	385 0.6×	449 1.3×	63 0.3×	53	931

Countries citing papers authored by E. Mukhin

Since Specialization

Citations

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

Fields of papers citing papers by E. Mukhin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of E. Mukhin

This figure shows the co-authorship network connecting the top 25 collaborators of E. Mukhin. A scholar is included among the top collaborators of E. Mukhin 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 E. Mukhin. E. Mukhin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Feigin, Boris, M. Jimbo, & E. Mukhin. (2024). Commutative subalgebra of a shuffle algebra associated with quantum toroidal glm|n. Journal of Pure and Applied Algebra. 228(6). 107619–107619.

Mukhin, E., et al.. (2024). Representations of quantum toroidal superalgebras and plane s-partitions. Communications in Contemporary Mathematics. 27(1). 1 indexed citations

Feigin, Boris, M. Jimbo, & E. Mukhin. (2019). The $${(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}$$ Duality in the Quantum Toroidal Setting. Communications in Mathematical Physics. 367(2). 455–481. 4 indexed citations

Feigin, Boris, Evgeny Feigin, Michio Jimbo, Tetsuji Miwa, & E. Mukhin. (2019). Principal $\widehat{\mathfrak{sl}_3}$ subspaces and quantum Toda Hamiltonian. Advanced studies in pure mathematics. 109–166. 1 indexed citations

Feigin, Boris, M. Jimbo, T. Miwa, & E. Mukhin. (2016). Branching rules for quantum toroidal gln. Advances in Mathematics. 300. 229–274. 27 indexed citations

Jimbo, M., et al.. (2015). Quantum toroidal gl1 and Bethe ansatz. Journal of Physics A Mathematical and Theoretical. 48. 8 indexed citations

Mukhin, E., Benoît Vicedo, & Charles A. S. Young. (2015). Gaudin models for 𝔤𝔩(m|n). Journal of Mathematical Physics. 56(5). 10 indexed citations

Feigin, Boris, M. Jimbo, T. Miwa, & E. Mukhin. (2013). Representations of quantum toroidalgln. Journal of Algebra. 380. 78–108. 31 indexed citations

Feigin, Boris, M. Jimbo, T. Miwa, & E. Mukhin. (2012). Quantum toroidal gl sub 1-algebra: Plane partitions: plane partitions. 52(3). 621–659. 5 indexed citations

10.

Mukhin, E. & Charles A. S. Young. (2012). Path description of type B q-characters. Advances in Mathematics. 231(2). 1119–1150. 21 indexed citations

11.

Mukhin, E., et al.. (2009). The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz. Annals of Mathematics. 170(2). 863–881. 27 indexed citations

12.

Mukhin, E. & Alexander Varchenko. (2006). Spaces of quasi-polynomials and the Bethe Ansatz. arXiv (Cornell University). 3 indexed citations

13.

Mukhin, E.. (2006). Bethe Eigenvectors of Higher Transfer Matrices. 62 indexed citations

14.

Feigin, Boris, Michio Jimbo, Tetsuji Miwa, E. Mukhin, & Yoshihiro Takeyama. (2004). Particle Content of the $(\boldsymbol k, 3)$-conﬁgurations. Publications of the Research Institute for Mathematical Sciences. 40(1). 163–220. 6 indexed citations

15.

Feigin, Boris, Michio Jimbo, Tetsuji Miwa, E. Mukhin, & Yoshihiro Takeyama. (2004). Fermionic Formulas for $(k, 3)$-admissible Conﬁgurations. Publications of the Research Institute for Mathematical Sciences. 40(1). 125–162. 10 indexed citations

16.

Feigin, Boris, M. Jimbo, Masaki Kashiwara, et al.. (2004). A functional model for the tensor product of level 1 highest and level −1 lowest modules for the quantum affine algebra Uq(sl2). European Journal of Combinatorics. 25(8). 1197–1229. 3 indexed citations

17.

Frenkel, Edward & E. Mukhin. (2002). The hopf algebra rep Uqglˆ. Selecta Mathematica. 8(4). 537–635. 2 indexed citations

18.

Feigin, Boris, Rinat Kedem, S. Loktev, T. Miwa, & E. Mukhin. (2002). Combinatorics of the $\widehat {\frak sl}_2$ Coinvariants: Dual Functional Realization and Recursion. Compositio Mathematica. 134(2). 193–241. 5 indexed citations

19.

Frenkel, Edward & E. Mukhin. (2002). The q-Characters at Roots of Unity. Advances in Mathematics. 171(1). 139–167. 15 indexed citations

20.

Mukhin, E. & Alexander Varchenko. (1999). On algebraic equations satisfied by hypergeometric solutions of the qKZ equation. 189–209.

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.

Explore authors with similar magnitude of impact