Boris Feigin

National Research University Higher School of Economics — Russia

Mathematics · Physical Sciences

45h-index6.9kcitations297works2.32yr avg
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Research Topics

Algebraic structures and combinatorial models(217), Advanced Topics in Algebra(142), Nonlinear Waves and Solitons(88), Advanced Algebra and Geometry(82), Advanced Combinatorial Mathematics(51)

Publications286 total

Affinization of shifted quantum affine $\mathfrak{gl}_2$
arXiv (Cornell University)·2025Open Access
Twisted Vertex Algebra Modules for Irregular Connections: A Case Study
International Mathematics Research Notices·2025· 2 cited
Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition
Communications in Mathematical Physics·2025Open Access
Coupling a vertex algebra to a large center
arXiv (Cornell University)·2025Open Access
Twisted vertex algebra modules for irregular connections: A case study
arXiv (Cornell University)·2024Open Access
Remarks on q-difference opers arising from quantum toroidal algebras
Journal of Physics A Mathematical and Theoretical·2024Open Access
Vertex algebras with big centre and a Kazhdan-Lusztig correspondence
Advances in Mathematics·2024· 7 cited
Extensions of Deformed W-algebras via qq-characters
Transformation Groups·2024
Remarks on $q$-difference opers arising from quantum toroidal algebras
arXiv (Cornell University)·2024Open Access
Highest-weight vectors and three-point functions in GKO coset decomposition
arXiv (Cornell University)·2024Open Access
3-Manifolds and VOA Characters
Communications in Mathematical Physics·2024· 18 citedOpen Access
Commutative subalgebra of a shuffle algebra associated with quantum toroidal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>
Journal of Pure and Applied Algebra·2024· 1 citedOpen Access
Gaudin model and Deligne’s category
Letters in Mathematical Physics·2023
Commutative subalgebra of a shuffle algebra associated with quantum toroidal $\mathfrak{gl}_{m|n}$
arXiv (Cornell University)·2023Open Access
On finite dimensionality of homology of subalgebras of vector fields
arXiv (Cornell University)·2022· 1 citedOpen Access
Vertex algebras with big center and a Kazhdan-Lusztig Correspondence
arXiv (Cornell University)·2022Open Access
Aleksandr Abramovich Belevin (on his 80th birthday)
Uspekhi Fizicheskih Nauk·2022Open Access
Aleksandr Abramovich Belevin (on his 80th birthday)
Physics-Uspekhi·2022Open Access
Quantum Toroidal Comodule Algebra of Type A&lt;sub&gt;n−1&lt;/sub&gt; and Integrals of Motion
Symmetry Integrability and Geometry Methods and Applications·2022Open Access
Combinatorics of vertex operators and deformed W-algebra of type D(2,1;α)
Advances in Mathematics·2022· 5 cited
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Frequent Co-authors

Edward Frenkel(13), A. M. Semikhatov(6), I. Yu. Tipunin(6), T. Miwa(5), E. Mukhin(5), Azat M. Gainutdinov(4), M. Jimbo(4), D. B. Fuks(3), Dmitry Fuchs(2), Boris Tsygan(2), Hidetoshi Awata(2), Junji Shiraishi(2), A. V. Stoyanovsky(2), Mikhail Bershtein(2), S. Loktev(2), Leonid Rybnikov(2), A. V. Odesskiĭ(2), Nicolai Reshetikhin(1), D. B. Fuks(1), Valerio Toledano-Laredo(1)