My research is currently supported by NSF grant DMS-1001482.

Preprints

 

Bridgeland stability conditions on threefolds II: An application to Fujita's conjecture (with A. Bayer, A. Bertram and Y. Toda), preprint 2011. Also arXiv:1106.3430. (pdf) Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities (with A. Bayer and Y. Toda), preprint 2011. Also arXiv:1103.5010. (pdf) Fano varieties of cubic fourfolds containing a plane (with P. Stellari), preprint 2009. Also arXiv:0909.2725. (pdf) A categorical invariant for cubic threefolds (with M. Bernardara, S. Mehrotra and P. Stellari), preprint 2009. Also arXiv:0903.4414. (pdf) Some examples of spaces of stability conditions on derived categories, preprint 2004. Also math.AG/0411613. (pdf)

Publications

 

The space of stability conditions on the local projective plane (with A. Bayer), to appear in Duke Math. J. Also arXiv:0912.0043. (pdf) (The SAGE code mentioned in the paper is here.) Infinitesimal Derived Torelli Theorem for K3 surfaces (with P. Stellari, appendix by S. Mehrotra), Int. Math. Res. Not. (2009), Article ID rnp049, 31 pp. Also arXiv:0804.2552. (pdf) Stability conditions for derived categories, appendix to the book "Fourier-Mukai and Nahm transforms in geometry and mathematical physics", by C. Bartocci, U. Bruzzo, and D. Hernández-Ruipérez, Birkäuser, 2009. The module structure of Hochschild homology in some examples (with M. Nieper-Wisskirchen and P. Stellari), C. R. Math. Acad. Sci. Paris, Ser. I, 346 (2008), 863-866. (pdf) Formal deformations and their categorical general fibre (with D. Huybrechts and P. Stellari), Comment. Math. Helv. 86 (2011), 41-71. Also arXiv:0809.3201. (pdf) Derived equivalences of K3 surfaces and orientation (with D. Huybrechts and P. Stellari), Duke Math. J. 149 (2009), 461-507. Also arXiv:0710.1645. (pdf) Inducing stability conditions (with S. Mehrotra and P. Stellari), J. Alg. Geom. 18 (2009), 605-649. Also arXiv:0705.3752. (pdf) Automorphisms and autoequivalences of generic analytic K3 surfaces (with P. Stellari), J. Geom. Phys. 58 (2008), 133-164. Also math.AG/0702848. (pdf) Stability conditions for generic K3 categories (with D. Huybrechts and P. Stellari), Compositio Math. 144 (2008), 134-162. Also math.AG/0608430. (pdf) Stability conditions on curves, Math. Res. Lett. 14 (2007) 657-672. Also arXiv:0705.3794. (pdf) Classification of Poisson surfaces (with C. Bartocci), Comm. Cont. Math. 7 (2005) 89-95. Also math.AG/0402338. (pdf)