Evgeny Feigin

Publications⁵⁶

• Article Khoroshkin A., Feigin E., Makedonskyi I. Duality theorems for current groups // Israel Journal of Mathematics. 2022. Vol. 248. No. 1. P. 441-479. doi
• Article Dotsenko V., Feigin E., Reineke M. Koszul algebras and Donaldson–Thomas invariants // Letters in Mathematical Physics. 2022. Vol. 112. No. 5. Article 106. doi
• Article Feigin E., Lanini M., Pütz A. Totally nonnegative Grassmannians, Grassmann necklaces, and quiver Grassmannians // Canadian Journal of Mathematics. 2022. P. 1-34. doi
• Article Ilya Dumanski, Evgeny Feigin, Michael Finkelberg. Beilinson–Drinfeld Schubert varieties and global Demazure modules // Forum of Mathematics, Sigma. 2021. Vol. 9. P. 1-25. doi
• Preprint Feigin E., Makhlin I., Popkovich A. Beyond the Sottile-Sturmfels degeneration of a semi-infinite Grassmannian / Cornell University. Series math "arxiv.org". 2021. No. 2110.07397 .
• Article Cerulli Irelli G., Fang X., Feigin E., Fourier G., Reineke M. Linear degenerations of flag varieties: partial flags, defining equations, and group actions // Mathematische Zeitschrift. 2020. Vol. 296. No. 1. P. 453-477. doi
• Article Feigin E., Kato S., Makedonskyi I. Representation theoretic realization of non-symmetric Macdonald polynomials at infinity // Journal fuer die reine und angewandte Mathematik. 2020. Vol. 764. P. 181-216. doi
• Article Feigin E., Makedonskyi I. Semi-infinite Plücker Relations and Weyl Modules // International Mathematics Research Notices. 2020. No. 14. P. 4357-4394. doi
• Preprint Feigin E., Makhlin I. Semitoric degenerations of Hibi varieties and flag varieties / Cornell University. Series math "arxiv.org". 2020. No. 2008.13243.
• Article Bigeni A., Feigin E. Symmetric Dellac Configurations // Journal of Integer Sequences. 2020. Vol. 23. No. 20.4.6. P. 1-32.
• Article Feigin E. Large tensor products and Littlewood-Richardson coefficients // Journal of Lie Theory. 2019. Vol. 29. No. 4. P. 927-940.
• Preprint Feigin E., Khoroshkin A., Makedonskyi I. Peter-Weyl, Howe and Schur-Weyl theorems for current groups / Cornell University. Series math "arxiv.org". 2019. No. 1906.03290.
• Preprint Dumanski, I., Feigin E. Reduced arc schemes for Veronese embeddings and global Demazure modules / Cornell University. Series math "arxiv.org". 2019. No. 1912.07988.
• Article Bigeni A., Feigin E. Symmetric Dellac configurations and symplectic/orthogonal flag varieties // Linear Algebra and its Applications. 2019. Vol. 573. P. 54-79. doi
• Article Feigin E., Makedonskyi I. Vertex algebras and coordinate rings of semi-infinite flags // Communications in Mathematical Physics. 2019. Vol. 369. No. 1. P. 221-244. doi
• Article Fang X., Feigin E., Fourier G., Makhlin I. Weighted PBW degenerations and tropical flag varieties // Communications in Contemporary Mathematics. 2019. Vol. 21. No. 1. P. 1-27. doi
• Article Feigin E., Makedonskyi I., Orr D. Generalized Weyl modules and nonsymmetric q-Whittaker functions // Advances in Mathematics. 2018. Vol. 330. P. 997-1033. doi
• Article Michael Finkelberg, Feigin E., Reineke M. Degenerate affine Grassmannians and loop quivers // Kyoto Journal of Mathematics. 2017. Vol. 57. No. 2. P. 445-474. doi
• Article Feigin E., Fourier G., Littelmann P. Favourable modules: filtrations, polytopes, Newton–Okounkov bodies and flat degenerations // Transformation Groups. 2017. Vol. 22. No. 2. P. 321-352. doi
• Article Feigin E., Makedonskyi I. Generalized Weyl modules, alcove paths and Macdonald polynomials // Selecta Mathematica, New Series. 2017. Vol. 23. No. 4. P. 2863-2897. doi
• Article Cerulli I. G., Fang X., Feigin E., Fourier G., Reineke M. Linear degenerations of flag varieties // Mathematische Zeitschrift. 2017. Vol. 287. No. 1. P. 615-654. doi
• Article Cerulli I. G., Feigin E., Reineke M. Schubert Quiver Grassmannians // Algebras and Representation Theory. 2017. Vol. 20. No. 1. P. 147-161. doi
• Article Feigin E., Makhlin I. Vertices of FFLV polytopes // Journal of Algebraic Combinatorics. 2017. Vol. 45. No. 4. P. 1083-1110. doi
• Article Feigin E., Makedonskyi I. Weyl modules for osp(1,2) and nonsymmetric Macdonald polynomials // Mathematical Research Letters. 2017. Vol. 24. No. 3. P. 741-766.
• Article Cherednik I., Feigin E. Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials // Advances in Mathematics. 2015. Vol. 282. P. 220-264. doi
• Article Feigin E., Makedonskyi I. Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture // Journal of Combinatorial Theory, Series A. 2015. P. 60-84.
• Article Feigin E. Degenerate group of type A: Representations and flag varieties // Functional Analysis and Its Applications. 2014. Vol. 48. No. 1. P. 59-71. doi
• Article Cerulli Irelli G., Feigin E., Reineke M. Homological approach to the Hernandez-Leclerc construction and quiver varieties // Representation Theory. 2014. No. 18. P. 1-14. doi
• Article Feigin E., Michael Finkelberg, Littelmann P. Symplectic Degenerate Flag Varieties // Canadian Journal of Mathematics. 2014. Vol. 66. No. 6. P. 1250-1286. doi
• Article Feigin E., Finkelberg M. V. Degenerate flag varieties of type A: Frobenius splitting and BW theorem // Mathematische Zeitschrift. 2013. Vol. 275. No. 1-2. P. 55-77. doi
• Article Cerulli Irelli G., Feigin E., Reineke M. Degenerate flag varieties: moment graphs and Schröder numbers // Journal of Algebraic Combinatorics. 2013. Vol. 38. No. 1. P. 159-189. doi
• Article Cerulli Irelli G., Feigin E., Reineke M. Desingularization of quiver Grassmannians for Dynkin quivers // Advances in Mathematics. 2013. No. 245. P. 182-207. doi
• Preprint Cerulli I., Feigin E., Reineke M. Homological approach to the Hernandez-Leclerc construction and quiver varieties / Cornell University. Series math "arxiv.org". 2013. No. 1302.529.
• Chapter Feigin E., Littelmann P., Fourier G. PBW-filtration over ℤ and Compatible Bases for V_Z(\lambda) in Type A_n and C_n, in: Symmetries, Integrable Systems and Representations Vol. 40: Symmetries, Integrable Systems and Representations. Springer, 2013. P. 35-63.
• Article Feigin E. G_a^M degeneration of flag varieties // Selecta Mathematica, New Series. 2012. Vol. 18. No. 3. P. 513-537. doi
• Article Feigin E., Cerulli Irelli G., Reineke M. Quiver Grassmannians and degenerate flag varieties // Algebra & Number Theory. 2012. Vol. 6. No. 1. P. 165-194.
• Article Feigin E. Systems of correlation functions, coinvariants, and the Verlinde Algebra // Functional Analysis and Its Applications. 2012. No. 46 (1). P. 41-52. doi
• Article Feigin E. The median Genocchi numbers, q-analogues and continued Fractions // European Journal of Combinatorics. 2012. Vol. 33. No. 1. P. 1913-1918. doi
• Article Feigin E. Degenerate flag varieties and the median Genocchi numbers // Mathematical Research Letters. 2011. No. 18(6). P. 1-16.
• Article Feigin E., Fourier G., Littelmann P. PBW filtration and bases for irreducible modules in type An // Transformation Groups. 2011. Vol. 16. No. 1. P. 71-89. doi
• Article Feigin E., Fourier G., Littelmann P. PBW filtration and bases for symplectic Lie algebras // International Mathematics Research Notices. 2011. Vol. 2011. No. 24. P. 5760-5784. doi
• Article Feigin B. L., Feigin E., Jimbo M., Miwa T., Mukhin E. Quantum continuous gl∞: Tensor products of Fock modules and Wn-characters // Kyoto Journal of Mathematics. 2011. Vol. 51. No. 2. P. 365-392.
• Article Feigin B. L., Feigin E., Jimbo M., Miwa T., Mukhin E. Quantum continuous gl∞: semiinfinite construction of representations // Kyoto Journal of Mathematics. 2011. Vol. 51. No. 2. P. 337-364.
• Article Feigin B. L., Feigin E., Littelmann P. Zhu's algebras, C_2-algebras and abelian radicals // Journal of Algebra. 2011. Vol. 329. P. 130-146. doi
• Article Feigin E., Shadrin S., van de Leur J. Givental symmetries of Frobenius manifolds and multi-component KP tau-functions  // Advances in Mathematics. 2010. Vol. 224. No. 3
• Article Feigin E., Littelmann P. Zhu's algebra and the $C_2$-algebra in the symplectic and the orthogonal cases // Journal of Physics A: Mathematical and Theoretical. 2010. Vol. 43. No. 13
• Article Feigin E. $N=1$ formal genus $0$ Gromov-Witten theories and Givental's formalism // Journal of Geometry and Physics. 2009. Vol. 59. No. 8. P. 1127-1136.
• Article Feigin B. L., Feigin E., Jimbo M., Miwa T., Mukhin E. Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian // Letters in Mathematical Physics. 2009. Vol. 88. No. 1-3. P. 39-77. doi
• Article Feigin E. The PBW filtration // Representation Theory. 2009. No. 13. P. 165-181.
• Article Takeyama Y., Jimbo M., Feigin B. L., Miwa T., Feigin E. A $\phi_{1,3}$-filtration of the Virasoro minimal series M(p,p') with 1 // Publications of the Research Institute for Mathematical Sciences. 2008. Vol. 44. No. 2. P. 213-257.
• Article Feigin E. Infinite fusion products and $\hat{\mathfrak{sl}_2}$ cosets  // Journal of Lie Theory. 2007. Vol. 17. P. 145-161.
• Article Feigin B. L., Feigin E. Two-dimensional current algebras and affine fusion product  // Journal of Algebra. 2007. Vol. 313. No. 1. P. 176-198.
• Article Feigin B. L., Feigin E. Principal subspace for the bosonic vertex operator $\phi\sb {\sqrt{2m}}(z)$ and Jack polynomials.  // Advances in Mathematics. 2006. Vol. 206 . No. 2. P. 307-328.
• Article Feigin E., Feigin B. L. Homological realization of restricted Kostka polynomials // International Mathematics Research Notices. 2005. Vol. 33. No. 33. P. 1997-2029.
• Article Feigin E., Feigin B. L. Schubert varieties and the fusion products, // Publications of the Research Institute for Mathematical Sciences. 2004. Vol. 40. No. 3. P. 625-668.
• Article Feigin E., Feigin B. L. $Q$-characters of the tensor products in $\germ s\germ l\sb 2$-case.  // Moscow Mathematical Journal. 2002. Vol. 2. No. 3. P. 567-588.