| theory of Hilbert schemes via shuffle algebra, Kyoto J B Feigin, A Tsymbaliuk Math 51 (4), 831-854, 2011 | 154* | 2011 |
| The affine Yangian of gl1 revisited A Tsymbaliuk Advances in Mathematics 304, 583-645, 2017 | 137 | 2017 |
| Multiplicative slices, relativistic Toda and shifted quantum affine algebras M Finkelberg, A Tsymbaliuk Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of …, 2019 | 70 | 2019 |
| Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data A Tsymbaliuk Letters in Mathematical Physics, 2020 | 33 | 2020 |
| Bethe subalgebras of via shuffle algebras B Feigin, A Tsymbaliuk Selecta Mathematica 22, 979-1011, 2016 | 31 | 2016 |
| Shifted Quantum Affine Algebras: Integral Forms in Type A M Finkelberg, A Tsymbaliuk Arnold Mathematical Journal 5 (2), 197-283, 2019 | 30 | 2019 |
| Surface defects in gauge theory and KZ equation N Nekrasov, A Tsymbaliuk Letters in Mathematical Physics 112 (2), 28, 2022 | 29 | 2022 |
| PBWD bases and shuffle algebra realizations for $$ U_ {\varvec {v}}(L\mathfrak {sl} _n), U_ {{\varvec {v}} _1,{\varvec {v}} _2}(L\mathfrak {sl} _n), U_ {\varvec {v}}(L\mathfrak … A Tsymbaliuk Selecta Mathematica 27 (3), 2021 | 29* | 2021 |
| Homomorphisms between different quantum toroidal and affine Yangian algebras M Bershtein, A Tsymbaliuk Journal of Pure and Applied Algebra 223 (2), 867-899, 2018 | 26* | 2018 |
| Quantum affine Gelfand–Tsetlin bases and quantum toroidal algebra via K-theory of affine Laumon spaces A Tsymbaliuk Selecta Mathematica 16 (2), 173-200, 2010 | 25 | 2010 |
| Several realizations of Fock modules for toroidal A Tsymbaliuk Algebras and Representation Theory 22, 177-209, 2019 | 22* | 2019 |
| Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type R Frassek, V Pestun, A Tsymbaliuk Advances in Mathematics 401, 108283, 2022 | 21 | 2022 |
| Rational Lax matrices from antidominantly shifted extended Yangians: BCD types R Frassek, A Tsymbaliuk Communications in Mathematical Physics 392 (2), 545-619, 2022 | 13 | 2022 |
| Quantum loop groups and shuffle algebras via Lyndon words A Neguţ, A Tsymbaliuk Advances in Mathematics 439, 109482, 2024 | 12 | 2024 |
| Representations of infinitesimal Cherednik algebras F Ding, A Tsymbaliuk Representation Theory of the American Mathematical Society 17 (19), 557-583, 2013 | 11 | 2013 |
| Infinitesimal Cherednik algebras as W-algebras I Losev, A Tsymbaliuk Transformation Groups 19 (2), 495-526, 2014 | 9 | 2014 |
| Infinitesimal Hecke algebras of soN A Tsymbaliuk Journal of Pure and Applied Algebra 219 (6), 2046-2061, 2015 | 8 | 2015 |
| Classical limits of quantum toroidal and affine Yangian algebras A Tsymbaliuk Journal of Pure and Applied Algebra 221 (10), 2633-2646, 2017 | 7 | 2017 |
| Shuffle approach towards quantum affine and toroidal algebras A Tsymbaliuk https://www.math.purdue.edu/~otsymbal/Papers/JapanLectureNotes.pdf, 2022 | 6 | 2022 |
| Transfer matrices of rational spin chains via novel BGG-type resolutions R Frassek, I Karpov, A Tsymbaliuk arXiv preprint arXiv:2112.12065, 2021 | 6 | 2021 |
