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LIST OF PUBLICATIONS

Journal articles (1) (with I. Cheltsov and V. Przyjalkowski) Hyperel liptic and trigonal Fano threefolds Izvestiya: Mathematics, 2005, 69:2, 365­421 arXiv:math/0406143 [math.AG] (2) On rationality of non-singular threefolds with a pencil of del Pezzo surfaces of degree 4 S b o r n i k : M a t h em a t i cs , 2 0 0 6 , 1 9 7 : 1 , 1 2 7 ­ 1 3 7 arXiv:math/0701521 [math.AG] (3) Ascending chain condition for the set of canonical thresholds of toric varieties S b o r n i k : M a t h em a t i cs , 2 0 0 6 , 1 9 7 : 4 , 6 2 3 ­ 6 3 1 (4) Q-factorial quartic threefolds S b o r n i k : M a t h em a t i cs , 2 0 0 7 , 1 9 8 : 8 , 1 1 6 5 ­ 1 1 7 4 arXiv:math/0701459 [math.AG] (5) Birational rigidity and Q-factoriality of a singular double quadric Mathematical Notes, 2008, 84:2, 280­289 arXiv:math/0701522 [math.AG] (6) (with I. Cheltsov, an appendix by J.-P. Demailly) Log canonical thresholds of smooth Fano threefolds UMN, 2008, 63:5(383), 73­180 arXiv:0806.2107 [math.AG] (7) (with I. Cheltsov) Extremal metrics on del Pezzo threefolds Proceedings of the Steklov Institute of Mathematics, 2009, 264, 30­44 arXiv:0810.1924 [math.AG] (8) (with I. Cheltsov and J. Park) Exceptional del Pezzo hypersurfaces Journal of Geometric Analysis, 2010, 20, 787­816 arXiv:0810.2704 [math.AG] (9) (with I. Cheltsov) On exceptional quotient singularities Geometry and Topology, 15 (2011), 1843­1882 arXiv:0909.0918 [math.AG] 10) (with I. Cheltsov) Six-dimensional exceptional quotient singularities Math. Res. Lett., 18:6 (2011), 1121-1139; arXiv:1001.3863 [math.AG] 11) (with I. Cheltsov) Nine-dimensional exceptional quotient singularities exist Proceedings of the Gokova Geometry­Topology conference, International Press, 2011, 85-96; arXiv:1110.6782 [math.AG] 12) (with I. Cheltsov) Three embeddings of the Klein simple group into the Cremona group of rank three Transform. Groups, 17:2 (2012), 303-350; arXiv:1010.1918 [math.AG] 13) (with M. Feigin) On unitary submodules in the polynomial representations of rational Cherednik algebras Int. Math. Res. Not., 2012, no. 15, 3375­3414 arXiv:1010.4245 [math.RT]

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(14) (with I. Cheltsov) Sporadic simple groups and quotient singularities Izv. RAN. Ser. matem., 77:4, 846­854 (2013) arXiv:1207.2227 [math.AG] Preprints (1) Birational automorphisms of nodal quartic threefolds arXiv:0803.4348 [math.AG] (2) (with I. Cheltsov) Del Pezzo Zoo arXiv:0904.0114 [math.AG] (3) (with I. Cheltsov) Five embeddings of one simple group arXiv:0910.1783 [math.AG] To appear in Transactions of the AMS (4) (with I. Cheltsov) Weakly-exceptional singularities in higher dimensions arXiv:1111.1920 [math.AG] To appear in Journal fur die Reine und Angewandte Mathematik (5) (with Yu. Prokhorov) Jordan property for Cremona groups arXiv:1211.3563 [math.AG] (6) (with V. Przyjalkowski) On Hodge numbers of complete intersections and Landau­ Ginzburg models arXiv:1305.4377 [math.AG] (7) (with Yu. Prokhorov) Jordan property for groups of birational selfmaps arXiv:1307.1784 [math.AG]

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