"Hodge complexity for weighted complete intersections" (with C. Shramov), arXiv:1801.10489

"Nef partitions for codimension 2 weighted complete intersections" (with C. Shramov), arXiv:1702.00431

"On Calabi–Yau compactifications of toric Landau–Ginzburg models for Fano complete intersections", Math. Notes 103:1, 104–110 , arXiv:1701.08532

"Bounds for smooth Fano weighted complete intersections" (with C. Shramov), arXiv:1611.09556

"Calabi–Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds", Sb. Math., 208:7 (2017), 992–1013, arXiv:1609.09740

"Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces" (with V. Lunts), Advances in Mathematics, 329 (2018), 189–216, arXiv:1607.08880

"Double Quadrics with Large Automorphism Groups" (with C. Shramov), Proceedings of the Steklov Institute of Mathematics, 2016, 294, 154–175,  arXiv:1604.00307

"Quartic double solids with icosahedral symmetry" (with I. Cheltsov and C. Shramov), Eur. J. Math. 2 (2016), no. 1, 96–119, arXiv:1508.07282

"Which quartic double solids are rational?" (with I. Cheltsov and C. Shramov), arXiv:1508.07277

"Laurent Phenomenon for Landau–Ginzburg Models of Complete Intersections in Grassmannians" (with C. Shramov), Proceedings of the Steklov Institute of Mathematics, 2015, 290, 91–102, arXiv:1503.05525

"On weak Landau–Ginzburg models for complete intersections in Grassmannians" (with C. Shramov), Russian Math. Surveys 69 (2014), no. 6, 1129–1131

"Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians of planes" (with C. Shramov), Bull. Korean Math. Soc., arXiv:1409.3729

"On Hodge numbers of complete intersections and Landau–Ginzburg models" (with C. Shramov), Int. Math. Res. Notices. (2015) Vol. 2015, 11302-11332, arXiv:1305.4377

"Birational geometry via moduli spaces" (with I. Cheltsov and L. Katzarkov), Birational geometry, rational curves, and arithmetic, Simons symposium 2012, Springer, 2013, 93–132,  arXiv:1405.3374

"Landau–Ginzburg models – old and new" (with L. Katzarkov), Proceedings of the 18th Gökova geometry-topology conference, Gökova, Turkey. Cambridge, MA: International Press. 97-124 (2011),  arXiv:1405.2953

"Toric Degenerations of Fano Threefolds Giving Weak Landau–Ginzburg Models" (with N. Ilten and J. Lewis), Journal of Algebra 374 (2013), 104-121, arXiv:1102.4664

"Double solids, categories and non-rationality" (with A. Iliev and L. Katzarkov), Proceedings of the Edinburgh Mathematical Society (2014) 57, 145–173, arXiv:1102.2130

"Hori–Vafa mirror models for complete intersections in weighted projective spaces and weak Landau–Ginzburg models", Cent. Eur. J. Math., 2011, 9(5), 972-977, arXiv:1003.5200

"Hodge numbers of Fano threefolds via Landau–Ginzburg models", included to the previous paper, arXiv:0911.5428

"Weak Landau--Ginzburg models for smooth Fano threefolds", Izv. Math. 77:4 (2013), 772–794, arXiv:0902.4668

"Generalized Homological Mirror Symmetry and cubics" (with L. Katzarkov) , Proc. Steklov Inst. Math., vol. 264, 2009, 87–95

"Mirror symmetry for Fano threefolds of Picard rank 1", Theses of the international algebraic conference Kurosh–100, MSU, Moscow, 2008, 191–193 (in Russian)

Thesis "Gromov-Witten invariants of Fano varieties" (in Russian)

"Minimal Gromov–Witten ring ", IZV MATH, 2008, 72:6, 1253–1272, arXiv:0710.4084

"On Landau–Ginzburg models for Fano varieties", Comm. Num. Th. Phys., Vol. 1, No. 4, 713–728, 2008, arXiv:0707.3758

"Quantum cohomology of smooth complete intersections in weighted projective spaces and singular toric varieties", Sbornik Mathematics, 2007, 198:9, 1325–1340, math.AG/0507232

"Gromov–Witten invariants of Fano threefolds of genera 6 and 8", Sbornik Mathematics, 2007, 198:3, 433–446, math.AG/0410327

"Hyperelliptic and trigonal Fano threefolds" (with I. Cheltsov and K. Shramov), IZV MATH, 2005, 69 (2), 365–421, math.AG/0406143

"Gromov–Witten invariants of some Fano threefolds" (Proceedings of young reseacher's conference «Lomonosov–2004», Meth. Math. MSU, Moscow , 2004, (2) 185–189)

"Gromov–Witten invariants of smooth Fano threefolds" (Theses of young reseacher's conference «Lomonosov–2004», Meth. Math. MSU, Moscow, 2004, 94–95)