Expository papers:
 

  • Derived equivalence, BGG correspondence, and cohomology
          lecture notes from mini-course at IHP, June 2010.       pdf
     
  • Generalized theta linear series on moduli spaces of vector bundles on curves
          to appear in the Handbook of Moduli, G. Farkas and I. Morrison eds.       pdf
     
  • M-regularity and the Fourier-Mukai transform (with G. Pareschi)
          Pure and Applied Math. Quarterly, F. Bogomolov issue II, 4 no.3 (2008).       pdf
     
  • Asymptotic invariants of line bundles (with L. Ein, R. Lazarsfeld, M. Mustata, M. Nakamaye)
          Pure and Applied Math. Quarterly , A. Borel issue I, 1 no.2 (2005), 139-163       pdf


    Research papers:
     

  • Generic vanishing theory via mixed Hodge modules (with C. Schnell)
          preprint, 2011.       pdf
     
  • Generic Vanishing filtrations and perverse objects in derived categories of coherent sheaves
          (partly expository) to appear in the proceedings of Derived Categories, Tokyo 2011 .       pdf
     
  • Canonical cohomology as an exterior module (with R. Lazarsfeld and C. Schnell)
          Pure and Applied Math. Quarterly, Eckart Viehweg memorial volume, 7 no.4 (2011), 1529-1542       pdf
     
  • Derived invariance of the number of holomorphic 1-forms and vector fields (with C. Schnell)
          Ann. Sci. ENS, 44 no.3 (2011), 527-536       pdf
     
  • Local positivity, multiplier ideals, and syzygies of abelian varieties (with R. Lazarsfeld and G. Pareschi)
          Algebra and Number Theory, 5 no.2 (2011), 185-196       pdf
     
  • Derivative complex, BGG correspondence, and numerical inequalities for compact Kaehler manifolds (with R. Lazarsfeld)
          Invent. Math., 182 no.3 (2010), 605-633       pdf
     
  • Extension of sections via adjoint ideals (with L. Ein)
          Math. Annalen 352 no.2 (2012), 373-408       pdf
     
  • GV-sheaves, Fourier-Mukai transform, and Generic Vanishing (with G. Pareschi)
          Amer. J. Math. 133 no.1 (2011), 235-271       pdf
     
  • Strong Generic Vanishing and a higher dimensional Castelnuovo-de Franchis inequality (with G. Pareschi)
          Duke Math. J., 150 no.2 (2009), 269-285       pdf
     
  • Global division of cohomology classes via injectivity (with L. Ein)
          Michigan Math. J., special issue in honor of M. Hochster, 57 (2008), 249-259       pdf
     
  • Regularity on abelian varieties III: relationship with Generic Vanishing and applications (with G. Pareschi)
          in Grassmannians, Moduli Spaces and Vector Bundles, Clay Mathematics Proceedings 14, Amer. Math. Soc., Providence RI, 2011, 141-167.       pdf
     
  • Generic vanishing and minimal cohomology classes on abelian varieties (with G. Pareschi)
          Math. Annalen, 340 no.1 (2008), 209-222       pdf
     
  • Restricted volumes and base loci of linear series (with L. Ein, R. Lazarsfeld, M. Mustata, M. Nakamaye)
          Amer. J. Math. 131 (2009), no.3, 607-651       pdf
     
  • Castelnuovo theory and the geometric Schottky problem (with G. Pareschi)
          J. Reine Angew. Math. 615 (2008), 25-44       pdf
     
  • Asymptotic invariants of base loci (with L. Ein, R. Lazarsfeld, M. Mustata, M. Nakamaye)
          Ann. Inst. Fourier, 56 no.6 (2006), 1701-1734       pdf
     
  • Effective divisors on M_g, curves on K3 surfaces, and the Slope Conjecture (with Gavril Farkas)
          J. Algebraic Geom. 14 (2005), 241-267       pdf
     
  • Effective divisors on M_g and a counterexample to the Slope Conjecture (with Gavril Farkas)
          preprint, now almost entirely included in the paper above       pdf
     
  • Effective very ampleness for generalized theta divisors (with Eduardo Esteves)
          Duke Math. J. 123 (2004), 429-444       pdf
     
  • Regularity on abelian varieties II: basic results on linear series and defining equations (with Giuseppe Pareschi)
          J. Algebraic Geom. 13 (2004), 167-193       pdf
     
  • Regularity on abelian varieties I (with Giuseppe Pareschi)
          J. Amer. Math. Soc. 16 (2003), 285-302       pdf
     
  • Divisors on M_{g,g+1} and the Minimal Resolution Conjecture for points on canonical curves (with Gavril Farkas and Mircea Mustata)
          Ann. Sci. ENS 36 no.4 (2003), 553-581       pdf
     
  • Stable maps and Quot schemes (with Mike Roth)
          Invent. Math. 152 no.3 (2003), 625-663       pdf
     
  • Verlinde bundles and generalized theta linear series
          Trans. Amer. Math. Soc. 354 (2002), 1869-1898       pdf
     
  • Linear series on moduli spaces of vector bundles on curves
          PhD thesis, University of Michigan (2001)       pdf
     
  • Dimension estimates for Hilbert schemes and effective base point freeness on moduli spaces of vector bundles on curves
          Duke Math J. 107 (2001), 469-495       pdf
     
  • On the base locus of the generalized theta divisor
          Comptes Rendus de l'Academie des Sciences de Paris 329 (1999), 507-512       pdf
     
  • A new proof of a theorem of A. Van de Ven (with Mircea Mustata)
          Bulletin de la Societe des Sciences Mathematiques de Roumanie 88 No.1 (1997), 49-55