Introduction to stability conditions. Lectures at the Newton Institute January 2011. 47 pages arXiv:1111.1745v1
A Global Torelli theorem for hyperkähler manifolds (after Verbitsky). Seminaire Bourbaki June 2011. arxiv:1106.5573
Stability conditions via spherical objects. 19 pages. to appear Math. Z. arXiv:1009.4372
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects. 8 pages to appear in Pure and Appl. Math. Quart. (volume dedicated to Eckart Viehweg). arXiv:1009.4371
Hyperkähler manifolds and sheaves. Proc. ICM Hyderabad. 2010 pdf-file
Chow groups and derived categories of K3 surfaces. 16 pages. to appear in Proc. Classical Algebraic Geometry today. MSRI January 2009 arXiv:0912.5299v1
(with E. Macri, P. Stellari) Formal deformations and their categorical general fibre. Comment. Math. Helv. 86 (2011), 41-71 This is Part one of arXiv:0710.1645v2. arXiv:0809.3201v1
(with E. Macri, P. Stellari) Derived equivalences of K3 surfaces and orientation. Duke Math. J. 149 (2009), 461--507. This is Part two of arXiv:0710.1645v2. arXiv:0710.1645v3
Chow groups of K3 surfaces and spherical objects. Journal EMS 12 (2010), 1533-1551 arXiv:0809.2606v1
(with R. Thomas) Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes. Math. Ann. 346 (2010), 545-569 arXiv:0805.3527v1
(with M. Nieper-Wisskirchen) Remarks on derived equivalences of Ricci-flat manifolds. Math. Zeit. 267 (2011), 939-963 arXiv:0801.4747.
(with E. Macri, P. Stellari) Derived equivalences of K3 surfaces and orientation. 70 pages. arXiv:0710.1645v2.
(with E. Macri, P. Stellari) Stability conditions for generic K3 categories. 32 pages. Comp. math. 144 (2008), 134-162. math.AG/0608430
Derived and abelian equivalence of K3 surface. J. Alg. Geom. 17 (2008), 375-400. math.AG/0604150
The global Torelli theorem: classical, derived, twisted. Proc. of the Seattle conference. arXiv:math/0609017v1 (2006). 23 pages. published version slightly different.
(with R. Thomas) P-objects and autoequivalences of derived categories. MRL 13 (2006), 87-98 math.AG/0507040
(with P. Stellari) Proof of Caldararu's conjecture. Adv. Stud. Pure Math. 45. 'Moduli spaces and arithmetic of algebraic varieties.' (2007) math.AG/0411541
(with P. Stellari) Equivalences of twisted K3 surfaces. Math. Ann. 332 (2005), 901-936. math.AG/0409030
Generalized Calabi-Yau structures, K3 surfaces, and B-fields. Int. J. Math. 16 (2005), 13-36. math.AG/0306162
(with S. Schroeer) The Brauer group of analytic K3 surfaces. IMRN. 50 (2003), 2687-2698. math.AG/0305101
Moduli spaces of hyperkähler manifolds and mirror symmetry. In: Intersection Theory and Moduli. Proc. Trieste 2002. math.AG/0210219
Finitenes results for hyperkähler manifolds. J. reine angew. Math. 558 (2003), 15-22. math.AG/0109024
The Kähler cone of a compact hyperkähler manifold. completely revised version of the 1999 preprint.Math. Ann. 326 (2003), 499-513. math.AG/9909109
Erratum to the paper: Compact hyperkähler manifolds: basic results. Invent. math. 152 (2003), 209-212. math.AG/0106014
Product of harmonic forms and rational curves. Documenta Mathematica 6 (2001), 227-239. math/0003202
Compact hyperkähler manifolds: Basic results. Invent. Math. 135 (1999), 63 - 113. alg-geom/9705025
Compact hyperkähler manifolds. Habilitationsschrift Essen (1997), 65 pages ( ps-file )
Birational symplectic manifolds and their deformations. J. Diff. Geom. 45 (1997), 488 - 513. alg-geom/9601015
(with L. Göttsche) - Hodge numbers of moduli spaces of stable sheaves on K3 surfaces. Int. J. Math. 7 (1996), 359 -372. alg-geom/9408001
The tangent bundle of a Calabi-Yau manifold - Deformations and restrictions to rational curves. Comm. Math. Phys. 171 (1995), 139 - 158. ( ps-file )
(with M. Lehn) Framed modules and their moduli. Int. J. Math. 6 (1995), 297 - 324. ( ps-file )
(with M. Lehn) Stable pairs on curves and surfaces. J. Alg. Geom. 4 (1995), 67 - 104. alg-geom/921100
Complete Curves in moduli spaces of stable bundles on surfaces. Math. Ann. 298 (1994), 67 - 78.