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Evgeny Feigin
Contacts
Address: Room 206. 7 Vavilova Str. Moscow
Phone: +7 (495) 772-95-90 *44163
E-mail:
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Office hours
Thursday 15:00-16:30 Friday 9:00-10:20
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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" (2013-2014)
Category "New Lecturers" (2011-2012)

Education and Degrees

  • Doctor of Sciences*: 2013, thesis: PBW degeneration in Lie theory and applications
  • Candidate of Sciences* (PhD): Lomonosov Moscow State University, 2005, 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

2014-2016 Dynasty Foundation fellowship, "G_a^N-varieties, PBW and toric degenerations"

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"

Conferences/workshops

2014: Summer school/PhD-workshop PBW filtrations of modules for Lie algebras and their appearance/applications in Representation Theory. Glasgow, from May 19th to May 23rd 2014. http://www.maths.gla.ac.uk/~gfourier/workshop14.htm

Conference participation

2014: Алгебры Ли, алгебраические группы и теория инвариантов (Москва). Presentation: Представления нильпотентных алгебр Ли, многогранники Винберга и обобщённые многообразия флагов
2013: Research Workshop of Israel Science Foundation on Orbits, Primitive Ideals and Quantum Groups (Реховот). Presentation: Degenerate s l ( n ): representations and flag varieties
2013: Международная конференция, посвященная 60-летию Бориса Львовича Фейгина, "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics" (Москва). Presentation: PBW and toric degenerations

Publications

Feigin E. Degenerate group of type A: Representations and flag varieties // Functional Analysis and Its Applications. 2014. Vol. 48. No. 1. P. 59-71.
Cherulli Irelli G., Feigin E., Reineke M. Homological approach to the Hernandez-Leclerc construction and quiver varieties // Representation Theory. 2014. No. 18. P. 1-14.
Feigin E., Makedonskyi I. Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration / Working papers by Cornell University. Series math "arxiv.org". 2014. No. 1407.6316.
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.
Feigin E., Cherulli Irelli G., Reineke M. Degenerate flag varieties: moment graphs and Schröder numbers // Journal of Algebraic Combinatorics. 2013. Vol. 38. No. 1. P. 159-189.
Feigin E., Cherulli Irelli G., Reineke M. Desingularization of quiver Grassmannians for Dynkin quivers // Advances in Mathematics. 2013. No. 245. P. 182-207.
Feigin E., Cherednik I. Extremal part of the PBW-filtration and E-polynomials / Working papers by Cornell University. Series math "arxiv.org". 2013. No. arXiv:1306.3146.
Feigin E., Fourier G., Littelmann P. Favourable modules: Filtrations, polytopes, Newton-Okounkov bodies and flat degenerations / Working papers by Cornell University. Series math "arxiv.org". 2013. No. arXiv:1306.1292.
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. 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., 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
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.
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 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.
Feigin E., Feigin B. L. Homological realization of restricted Kostka polynomials // International Mathematics Research Notices. 2005. Vol. 33. No. 33. P. 1997-2029.
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.
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.

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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.