Faculty and Staff

About HSE → Faculty and staff → Evgeny Feigin
Evgeny Feigin
Contacts
Address: Room 206. 7 Vavilova Str. Moscow
Phone: +7 (495) 772-95-90 *4163
E-mail:
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Hours of attendance

tuesday 14:00-15:20, friday 15.30-16.50

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Evgeny Feigin

(Evgeny Feigin has been at HSE since 2010.)

Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2013)
Category "New Lecturers" (2011-2012)

Education and Degrees

  • Candidate of Sciences* (PhD): Lomonosov Moscow State University, 2005, speciality , thesis: Demazure modules for affine Lie algebra sl(2)
  • Diploma: Lomonosov Moscow State University, 2002, faculty: mechanics and mathematics, speciality «mathematics»
  • Diploma: Independent Moscow University, 2002, faculty: mathematics, speciality «mathematics»

Achievements and promotion

Research interests

Representation theory, algebraic geometry, mathematical physcis, combinatorics.

Current grants and fellowships

2012-2013 Russian President Grant № МК-3312.2012.1,  "Lie theory and equivariant compactifications of abelian algebraic groups"

2011-2013 Dynasty Foundation fellowship, "PBW degeneration of Lie theory: representations, flag varieties and combinatorics"

Workshops/conferences

Spring School on Orbits, Primitive Ideals and Quantum Groups, Rehovot, Israel, 24 February – 2 March, 2013.

Publications

Cerulli I., Feigin E., Reineke M. Homological approach to the Hernandez-Leclerc construction and quiver varieties / Working papers by Cornell University. Series math "arxiv.org". 2013. No. 1302.529.
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. [Б.м.] Springer, 2013. P. 35-63.
Feigin E. Degenerate SL_n: representations and flag varieties / Working papers by Cornell University. Series math "arxiv.org". 2012.
Cerulli Irelli G., Feigin E., Reineke M. Degenerate flag varieties: moment graphs and Schroeder numbers / Working papers by Cornell University. Series math "arxiv.org". 2012. No. 1206.4178.
Feigin E., Cerulli Irelli G., Reineke M. Desingularization of quiver Grassmannians for Dynkin quivers / Working papers by Cornell University. Series math "arxiv.org". 2012. No. 1209.3960.
Feigin E. G<sub>a</sub><sup>M</sup> degeneration of flag varieties // Selecta Mathematica, New Series. 2012. Vol. 18. No. 3. P. 513-537.
Feigin E., Cerulli Irelli G., Reineke M. Quiver Grassmannians and degenerate flag varieties // Algebra & Number Theory. 2012. Vol. 6. No. 1. P. 165-194.
Feigin E. Systems of correlation functions, coinvariants, and the Verlinde Algebra // Functional Analysis and Its Applications. 2012. No. 46 (1). P. 41-52.
Feigin E. The median Genocchi numbers, q-analogues and continued Fractions // European Journal of Combinatorics. 2012. Vol. 33. No. 1. P. 1913-1918.
Feigin E. Degenerate flag varieties and the median Genocchi numbers // Mathematical Research Letters. 2011. No. 18(6). P. 1-16.
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.
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.
Feigin B. L., Feigin E., Jimbo M., Miwa T., Mukhin E. Quantum continuous gl∞: Tensor products of Fock modules and Wn-characters // Journal of Mathematics of Kyoto University. 2011. Vol. 51. No. 2. P. 365-392.
Feigin B. L., Feigin E., Jimbo M., Miwa T., Mukhin E. Quantum continuous gl∞: semiinfinite construction of representations // Journal of Mathematics of Kyoto University. 2011. Vol. 51. No. 2. P. 337-364.
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.
Feigin E., van de Leur J., Shadrin S. Givental symmetries of Frobenius manifolds and multi-component KP tau-functions  // Advances in Mathematics. 2010. Vol. 224. No. 3
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
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.
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.
Feigin E. The PBW filtration // Representation Theory. 2009. No. 13. P. 165-181.
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.
Фейгин Е. Б. Бозонные формулы для аффинных функций ветвления // Функциональный анализ и его приложения. 2008. Т. 42. № 1. С. 63-77.
Feigin E. Infinite fusion products and $\hat{\mathfrak{sl}_2}$ cosets  // Journal of Lie Theory. 2007. Vol. 17. P. 145-161.
Feigin B. L., Feigin E. Two-dimensional current algebras and affine fusion product  // Journal of Algebra. 2007. Vol. 313. No. 1. P. 176-198.
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.
Feigin B. L., Feigin E. Homological realization of restricted Kostka polynomials // International Mathematics Research Notices. 2005. Vol. 33. No. 33. P. 1997-2029.
Feigin B. L., Feigin E. Schubert varieties and the fusion products, // Publications of the Research Institute for Mathematical Sciences. 2004. Vol. 40. No. 3. P. 625-668.
Feigin B. L., Feigin E. $Q$-characters of the tensor products in $\germ s\germ l\sb 2$-case.  // Moscow Mathematical Journal. 2002. Vol. 2. No. 3. P. 567-588.

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* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.

Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.