Papers of  Dmitri  Orlov

Smooth and proper noncommutative schemes and gluing of DG categories, arXiv:1402.7364.

Geometric Phantom Categories, Publ. Math. Inst. Hautes Etudes Sci., 117 (2013), 329-349,  arXiv:1209.6183 (with S. Gorchinskiy).

Derived categories of Burniat surfaces and exceptional collections,  Math. Ann., 357 (2013), 2, 743-759,  arXiv:1208.4348 (with V. Alexeev).

Homological mirror symmetry for punctured sphere,  J. Amer. Math. Soc., 26 (2013),  4, 1051-1083, arXiv:1103.4322 (with M. Abouzaid, D. Auroux, A. Efimov, and L. Katzarkov).

Does full imply faithful?  J. of Noncommut. Geom., 7 (2013), 2, 357–371, arXiv:1101.5931 (with A. Canonaco and P. Stellari).

Landau-Ginzburg Models, D-branes, and Mirror Symmetry, Mat. Contemp. 41 (2012), 75-112,   arXiv:1111.2962

Matrix factorizations for nonaffine LG-models, Math. Ann., 353 (2012), 1, 95-108,  arXiv:1101.4051

Deformation theory of objects in homotopy and derived categories III: abelian categories, pdf (476kB), Adv. Math.,  226 (2011), 5, 3857-3911, arXiv:math/0702840 (with A. Efimov and V. Lunts).

Formal completions and idempotent completions of triangulated categories of singularities, pdf (131kB), Adv. Math., 226 (2011), 1, 206-217, arXiv:0901.1859.

Uniqueness of enhancement for triangulated categories, pdf (465kB),  J. Amer. Math. Soc., 23 (2010), 3,  853-908, arXiv:0908.4187 (with V. Lunts).

Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor, pdf (525kB), Adv. Math.  224 (2010), 1, 45-102, arXiv:math/0702839 (with A. Efimov and V. Lunts).

Derived categories of coherent sheaves and triangulated categories of singularities, pdf (310kB), Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. II, 503–531, Progr. Math., 270, Birkhäuser Boston, Inc., Boston, MA, 2009,  math.AG/0503632.

Deformation theory of objects in homotopy and derived categories I: general theory,  pdf (389kB), Adv. Math.,  222 (2009), 2, 359-401, arXiv:math/0702838 (with A. Efimov and V. Lunts).

Homological mirror symmetry for manifolds of general type, Cent. Eur. J. Math., 7 (2009),  4, 571–605, arXiv:1004.0129v3 (with A. Kapustin, L. Katzarkov, M. Yotov).

Remarks on Generators and Dimensions of Triangulated Categories, pdf (131kB), Moscow Math. Journal,  9 (2009), 1, 513-519, arXiv:0804.1163.

Mirror symmetry for weighted projective planes and their noncommutative deformations, pdf (645kB), Ann. of Math.(2),  167 (2008), 3, 867–943, math.AG/0404281 (with D.Auroux and L.Katzarkov).

An exact sequence for $K^M_*/2$ with applications to quadratic forms, pdf (170kB), Ann. of Math. (2), 165 (2007), 1, 1-13, math.AG/0101023 (with A.Vishik and V.Voevodsky).

Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves, pdf (400kB), Invent. Math, 166 (2006),  3, 537-582, math.AG/0506166 (with D.Auroux and L.Katzarkov).

Triangulated categories of singularities and equivalences between Landau-Ginzburg models, pdf (245kB), Sb. Math.,  197 (2006) 12, 1827-1840, math.AG/0503630.  Russian version  pdf (365kB).

Derived categories of coherent sheaves and motives,  pdf (155kB), Russian Math. Surveys, 60 (2005),  6, 1242-1244, math.AG/0506166. Russian version pdf (240kB).

Triangulated categories of singularities and D-branes in Landau-Ginzburg models, pdf (300kB), Proc. Steklov Math. Inst., 246 (2004), 3, 227-248, math.AG/0302304. Russian version  pdf (450kB).

Lectures on Mirror Symmetry, Derived Categories, and D-branes,  pdf (345kB), Russian Math. Surveys, 59  (2004),  5, 907-940, math.AG/0308173 (with A.Kapustin). Russian version pdf (475kB).

Derived categories of coherent sheaves and equivalences between them,  Russian Math. Surveys, 58 (2003),  3, 89-172,  journal translation pdf (895kB). Russian version pdf (745kB).  

Quasicoherent sheaves in commutative and noncommutative geometry,  pdf (265kB), Izv. Math., 67 (2003),  3, 535–554. Russian version  pdf (375kB).

Remarks On A-branes, Mirror Symmetry, and the Fukaya Category,  pdf (210kB), J. Geom. Phys., 48 (2003),  84-99,  journal file pdf (130kB), hep-th/0109098 (with A.Kapustin).

Mirror symmetry, vertex algebras, and D-branes: the case of complex toripdf (435kB), Comm. Math. Phys., 233 (2003), 1, 79-136,  journal file pdf (405kB),  hep-th/0010293 (with A.Kapustin).

Производные категории когерентных пучков и эквивалентности между ними, Докторская диссертация, Москва 2002,  pdf (835kB), 125 pages.  (Derived categories of coherent sheaves and equivalences between them, Habilitation thesis, Moscow 2002, Russian). 

Derived categories of coherent sheaves, pdf (190kB), Proceedings of ICM2002, Beijing, Chine, v.II (2002) 47-56, math.AG/0206295 (with A.Bondal).

On equivalences of derived categories of coherent sheaves on abelian varieties,  pdf (320kB), Izv. Math., 66 (2002), 3, 131-158, math.AG/9712017.  Russian version  pdf (460kB).

Noncommutative instantons and twistor transform,  pdf (445kB), Comm. Math. Phys., 221 (2001), 2, 385-432,  journal file pdf (345kB), hep-th/0002193 (with A.Kapustin and A.Kuznetsov).

Mirror symmetry for abelian varieties, pdf  (475kB),  J. Algebraic Geom.,  10 (2001),  3, 433-496, math.AG/9812003 (with V.Golyshev and V.Lunts).

Reconstruction of a variety from the derived category and groups of autoequivalences, pdf (210kB),  Compositio Math., 125 (2001), 3, 327-344,  journal file pdf  (165kB), math.AG/9712029 (with A.Bondal).

Equivalences of derived categories and K3 surfaces, pdf (325kB), J. Math. Sci., (New York), 84 (1997), 5, 1361-1381, math.AG/9606006.

Semiorthogonal decomposition for algebraic varieties, pdf (300kB), Preprint MPI/95-15, math.AG/9506012  (with A.Bondal).

Exceptional sheaves on Del Pezzo surfaces, pdf  (1760kB),  Izv. Math., 58 (1994),  3, 57-91 (with S.Kuleshov).

Projective bundles, monoidal transforms and derived categories of coherent sheaves, pdf (560kB),  Izv. Ross. Akad. Nauk Ser. Mat., 56 (1992), 4, 852-862; English translation in Izv. Math., 41 (1993), 1, 133-141.

An exceptional collection of vector bundles on the threefold V5,  Moscow Univ. Math. Bull., 46 (1991), 5, 48-50.

Prym varieties of hyperelliptic curves and their applications to non-linear equations,  Moscow Univ. Math. Bull., 44 (1989), 2, 65-69 (with L.Katzarkov).

http://www.mi.ras.ru/~orlov/papers/papers.html