On the S_n-equivariant Euler characteristic of M_{2,n}. [ arXiv: 0707.2662 ]
Publications
(with M. Borodzik) Immersed concordances of links and Heegaard Floer homology.
To appear in Indiana University Mathematics Journal.
[ arXiv:1601.07507 ]
(with A. Némethi) On the set of L-space surgeries for links.
Advances in Mathematics 333 (2018), 386-422.
[ arXiv:1509.01170 ]
(with S. M. Gusein-Zade) Homological indices of collections of 1-forms.
Bulletin of the London Mathematical Society 50 (2018), no.2, 261-273.
[ arXiv:1704.08641 ]
(with S. Gukov and M. Stošić) Quadruply-graded colored homology of knots. To appear in Fundamenta Mathematicae. [ arXiv: 1304.3481 ]
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. Geometry & Topology 22 (2018) 645-691. [ arXiv: 1201.2115 ]
(with J. Hom) Cable links and L-space surgeries. [ arXiv:1502.05425 ].
Quantum Topology 8 (2017), no.4, 629-666.
(with M. Mazin and M. Vazirani) Rational Dyck Paths in the Non Relatively Prime Case.
Electronic Journal of Combinatorics, 24 (2017), no. 3, paper #P3.61 [ arXiv:1703.02668 ]
(with A. Neguț) Infinitesimal change of stable basis. Selecta Mathematica, New Series, 23 (2017), no. 3, 1909-1930. [
arXiv:1510.07964 ]
(with M. Mazin) Rational Parking Functions and LLT Polynomials.
Journal of Combinatorial Theory, Series A, 140 (2016), 123-140.
[ arXiv:1503.04181 ]
(with M. Mazin and M. Vazirani) Affine permutations and rational slope parking functions.
Trans. Amer. Math. Soc. 368 (2016), 8403-8445. [ arXiv: 1403.0303 ]
(with A. Némethi) Links of plane curve singularities are L-space links.
Algebraic and Geometric Topology 16 (2016) 1905-1912.
[ arXiv: 1403.3143 ]
(with P. Etingof and I. Losev) Representations of Rational Cherednik algebras with minimal support and torus knots. Advances in Mathematics 277 (2015), 124-180. [ arXiv: 1304.3412 ]
(with A. Némethi) Lattice and Heegaard-Floer homologies of algebraic links. Int. Math. Res. Not. IMRN 2015, no. 23, 12737-12780. [ arXiv: 1301.7636 ]
(with A. Neguț) Refined knot invariants and Hilbert schemes. Journal de Mathématiques Pures and Appliquées 104 (2015), 403-435.[ arXiv: 1304.3328 ]
(with L. Lewark) On stable sl3-homology of torus knots. Experimental Mathematics 24 (2015), 162-174. [ arXiv: 1404.0623 ]
(with A. Oblomkov, J. Rasmussen and V. Shende) Torus knots and the rational DAHA. Duke Math. J. 163 (2014), no. 14, 2709–2794. [ arXiv: 1207.4523 ]
The equivariant Euler characteristic of moduli spaces of curves. Advances in Mathematics 250 (2014), 588-595. [ arXiv: 0906.0841 ]
(with M. Mazin) Compactified Jacobians and q,t-Catalan numbers, II. Journal of Algebraic Combinatorics, 39 (2014), no. 1, 153-186. [ arXiv: 1204.5448 ]
(with A. Oblomkov and J. Rasmussen) On stable Khovanov homology of torus knots. Experimental Mathematics, 22 (2013), 265-281. [ arXiv: 1206.2226 ]
Arc spaces and DAHA representations. Selecta Mathematica, New Series, 19 (2013), no. 1, 125-140. [ arXiv: 1110.1674 ]
(with M. Mazin) Compactified Jacobians and q,t-Catalan Numbers, I. Journal of Combinatorial Theory, Series A, 120 (2013) 49-63 [ arXiv: 1105.1151 ]
q,t-Catalan numbers and knot homology. Zeta Functions in Algebra and Geometry, 213-232.
Contemp. Math. 566 , Amer. Math. Soc., Providence, RI, 2012. [ arXiv: 1003.0916 ]
Combinatorial computation of the motivic Poincaré series. Journal of Singularities, 3 (2011), 48-82 [ arXiv: 0807.0491 ]
Adams Operations and Power Structures.
Moscow Mathematical Journal, 9 (2009), no. 2, 305-323. [ arXiv: 0803.3118 ]
On the S_n-equivariant Euler characteristic of moduli spaces of hyperelliptic curves.
Mathematical Research Letters, 16 (2009), no. 4, pp. 591-603. [ arXiv: 0804.2948 ]
Symmetries of some motivic integrals.
Russian Mathematical Surveys, 63 (2008), no. 4 (382), 179-180. [ arXiv: 0804.0844 ]
On the motivic measure on the space of functions.
Revista Matemática Complutense, 20 (2007), no. 2, 507-521. [ arXiv: 0701374 ]
Motivic integration and functional equations. Algebra and Analysis
(Journal of the St. Petersburg Mathematical Society), 19 (2007), no. 4, 92-112. [ arXiv: 0606521 ]
On divisorial filtrations on sheaves. Mathematical notes, 79 (2006), no. 6, 825-837. [ arXiv: 0502368 ]
(joint with V. Gurovits, I. Mezhirov and E. Osmova). The Richman game.
Matematicheskoe prosveshenie, 3 (2001), no. 5, 78-191. [ (in Russian) ]