Research papers

 (joint with S. Gukov and M. Stošić) Quadruplygraded colored homology of knots. [ arXiv: 1304.3481 ]
 (joint with P. Etingof and I. Losev) Representations of Rational Cherednik algebras with minimal support and torus knots. [ arXiv: 1304.3412 ]
 (joint with A. Negut) Refined knot invariants and Hilbert schemes. [ arXiv: 1304.3328 ]
 (joint with A. Némethi) Poincaré series of algebraic links and lattice homology. [ arXiv: 1301.7636 ]
 (joint with A. Oblomkov, J. Rasmussen and V. Shende) Torus knots and the rational DAHA. [ arXiv: 1207.4523 ]
 (joint with A. Oblomkov and J. Rasmussen) On stable Khovanov homology of torus knots. To appear in Experimental Mathematics. [ arXiv: 1206.2226 ]
 (joint with M. Mazin) Compactified Jacobians and q,tCatalan numbers, II. To appear in Journal of Algebraic Combinatorics. [ arXiv: 1204.5448 ]
 Combinatorics of HOMFLY homology. Appendix to
"The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link"
by A. Oblomkov, J. Rasmussen and V. Shende [ arXiv: 1201.2115 ]
 (joint with M. Gorsky) Distinguished bases for A_n root systems and parking functions. [ arXiv: 1112.0381 ]
 Arc spaces and DAHA representations. Selecta Mathematica, New Series, 19 (2013), no. 1, 125140. [ arXiv: 1110.1674 ]
 (joint with M. Mazin) Compactified Jacobians and q,tCatalan Numbers, I. Journal of Combinatorial Theory, Series A, 120 (2013) 49–63 [ arXiv: 1105.1151 ]
 q,tCatalan numbers and knot homology. Zeta Functions in Algebra and Geometry, 213–232.
Contemp. Math. 566 , Amer. Math. Soc., Providence, RI, 2012. [ arXiv: 1003.0916 ]
 The equivariant Euler characteristic of moduli spaces of curves. [ arXiv: 0906.0841 ]
 Seifert cohomology of trees. [ arXiv: 0901.1298 ]
 Adams Operations and Power Structures.
Moscow Mathematical Journal, 9 (2009), no. 2, 305323. [ arXiv: 0803.3118 ]
 On the S_nequivariant Euler characteristic of moduli spaces of hyperelliptic curves.
Mathematical Research Letters, 16 (2009), no. 4, pp. 591603. [ arXiv: 0804.2948 ]
 Combinatorial computation of the motivic Poincaré series. Journal of Singularities, 3 (2011), 4882 [ arXiv: 0807.0491 ]
 Symmetries of some motivic integrals.
Russian Mathematical Surveys, 63 (2008), no. 4 (382), 179180. [ arXiv: 0804.0844 ]
 On the S_nequivariant Euler characteristic of M_{2,n}. [ arXiv: 0707.2662 ]
 On the motivic measure on the space of functions.
Revista Matemática Complutense, 20 (2007), no. 2, 507521. [ arXiv: 0701374 ]
 Motivic integration and functional equations. Algebra and Analysis
(Journal of the St. Petersburg Mathematical Society), 19 (2007), no. 4, 92112. [ arXiv: 0606521 ]
 On divisorial filtrations on sheaves. Mathematical notes, 79 (2006), no. 6, 825837. [ arXiv: 0502368 ]
 (joint with V. Gurovits, I. Mezhirov and E. Osmova). The Richman game.
Matematicheskoe prosveshenie, 3 (2001), no. 5, 78191. [ (in Russian) ]

Presentations

 Cherednik algebras, Hilbert schemes and
knot invariants. AMS Spring Eastern Sectional Meeting. Boston, April 2013
 On stable Khovanov homology of torus knots , Knots in Washington XXXV. Washington DC, December 2012.
 Torus knots and q,tCatalan numbers , Simons Postdoctoral Fellows Meeting, Stony Brook, April 2012.
 Motivic Poincaré series and knot homology , Second International Workshop on Zeta Functions in Algebra and Geometry , Palma de Mallorca, May 2010.
 The equivariant Euler characteristic of the moduli spaces of pointed hyperelliptic curves , Combinatorics of Moduli Spaces, Hurwitz Numbers,
And Cluster Algebras. Moscow, June 2008.
