Jet closures and the local isomorphism problem (with L. Ein and S. Ishii) submitted 
arxiv 
Differentials on the arc space (with R. Docampo) submitted 
arxiv 
Towards a link theoretic characterization of smoothness (with Y.C. Tu) to appear in Math. Res. Lett. 
arxiv 
The space of arcs of an algebraic variety to appear in the Proceedings of the 2015 Summer Institute on Algebraic Geometry 
arxiv 
Birational rigidity of singular Fano hypersurfaces to appear in Ann. Sc. Norm. Super. Pisa, Cl. Sci. 
arxiv 
Colength of a product of ideals in appendix to: J. Kollár and A. Némethi,
Dufree's conjecture on the signature of smoothings of surface singularities to appear in Ann. Sci. École Norm. Sup. 
arxiv 
Terminal valuations and the Nash problem (with R. Docampo) Invent. Math. 203 (2016), 303331 
journal arxiv 
The volume of a set of arcs on a variety (with M. Mustata) Rev. Roumaine Math. Pures Appl. 60 (2015), 375401 special issue in honor of Lucian Badescu's 70th birthday 
arxiv 
Comparing multiplier ideals to
test ideals on numerically QGorenstein varieties (with R. Docampo, S. Takagi and K. Tucker) Bull. London Math. Soc. 47 (2015), 359369 
journal arxiv 
The dual complex of singularities (with J. Kollár and C. Xu) in "Higher dimensional algebraic geometry" in honour of Professor Yujiro Kawamatas 60th birthday, 103–130, Adv. Stud. Pure Math. Vol. 74, 2017 
arxiv 
Valuation spaces and multiplier ideals on singular varieties (with S. Boucksom, C. Favre and S. Urbinati) in "Recent Advances in Algebraic Geometry," volume in honor of Rob Lazarsfeld's 60th birthday, 2951, London Math. Soc. Lecture Note Series, 2015 
arxiv 
Fano hypersurfaces and their birational geometry in "Automorphisms in Birational and Affine Geometry," Levico Terme, Italy, October 2012,
Springer Proceedings in Mathematics & Statistics, Vol. 79, 2014. 
arxiv 
Jacobian discrepancies and rational singularities (with R. Docampo) J. Eur. Math. Soc. 16 (2014), 165199 
journal arxiv 
Threedimensional counterexamples to the Nash problem Compositio Math. 149 (2013), 15191534 
journal arxiv 
Birationally rigid hypersurfaces Invent. Math. 192 (2013), 533566 Erratum, Invent. Math. 203 (2016), 675680 
journal
arxiv journal arxiv 
Rationality in families of threefolds (with D. Fusi) Rend. Circ. Mat. Palermo 62 (2013), 127–135 
journal arxiv 
The volume of an isolated singularity (with S. Boucksom and C. Favre) Duke Math. J. 161 (2012), 14551520 
journal arxiv 
Rigidity properties of Fano varieties (with C. Hacon) in Current Developments in Algebraic Geometry, MSRI Publications, Volume 59, 2011 
journal arxiv 
Deformations of canonical pairs and Fano varieties (with C. Hacon) J. reine angew. Math. 651 (2011), 97126 
journal arxiv 
Log canonical thresholds on varieties with bounded singularities (with L. Ein and M. Mustata) in "Classification of algebraic varietiesSchiermonnikoog 2009" C. Faber, G. van der Geer, E. Looijenga editors, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011 
journal arxiv 
Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties (with L. Ein and M. Mustata) Duke Math. J. 152 (2010), 93114 
journal arxiv 
A vanishing theorem for log canonical pairs (with L. Ein) Amer. J. Math. 132 (2010), 12051221 
journal arxiv 
Singularities on normal varieties (with C. Hacon) Compositio Math. 145 (2009), 393414 
journal arxiv 
Limits of log canonical thresholds (with M. Mustata) Ann. Sci. École Norm. Sup. 42 (2009), 493517 
journal arxiv 
Ample subvarieties and rationally connected fibrations (with M. Beltrametti and A. Lanteri) Math. Ann. 341 (2008), 897926 
journal arxiv 
Divisorial valuations via arcs (with L. Ein and S. Ishii) Publ. Res. Inst. Math. Sci. 44 (2008), 425448 special issue in honor of Professor Hironaka's 70th birthday 
journal arxiv 
Higher cohomology of divisors on a projective variety (with A. Kuronya and R. Lazarsfeld) Math. Ann. 337 (2007), 443455 
journal arxiv 
Stringy Chern classes of singular varieties (with E. Lupercio, T. Nevins and B. Uribe) Adv. Math. 208 (2007), 597621 
journal arxiv 
A localization principle for orbifold theories (with E. Lupercio, T. Nevins and B. Uribe) in "Recent Developments in Algebraic Topology", A. Adem et al. eds., Proceedings for the Conference in honor of the 70th birthday of S. Gitler, 113133. Contemp. Math. 407, Amer. Math. Soc., Providence, RI, 2006 
arxiv 
Length, multiplicity, and multiplier ideals Trans. Amer. Math. Soc. 358 (2006), 37173731 
journal arxiv 
Bad loci of free linear systems (with A. Lanteri) Adv. Geom. 6 (2006), 93107 
journal arxiv 
Negative curves on very general blowups of P^2 in "Projective Varieties with Unexpected Properties", M. Beltrametti et al. eds.,
A Volume in Memory of Giuseppe Veronese, 199207, de Gruyter, Berlin, 2005 
journal arxiv 
Multiplicities and log canonical threshold (with L. Ein and M. Mustata) J. Algebraic Geom. 13 (2004), 603615 
journal arxiv 
On planar Cremona maps of prime order Nagoya Math. J. 174 (2004), 128 
journal arxiv 
Bounds on log canonical thresholds with application to birational rigidity (with L. Ein and M. Mustata) Math. Res. Lett. 10 (2003), 219236 
journal arxiv 
Resolution of indeterminacy of pairs (with L. Ein) in "Algebraic Geometry", M. Beltrametti et al. eds., A Volume in Memory of Paolo Francia, 165177, de Gruyter, Berlin, 2002 
journal 
Ample vector bundles and intrinsic quadric fibrations over irrational curves Matematiche (Catania) 55 (2000), 205222 
journal 
Ample vector bundles and del Pezzo manifolds (with A. Lanteri) Kodai Math. J. 22 (1999), 85100 
journal 
Ample vector bundles with sections vanishing along conic fibrations over curves Collect. Math. 49 (1998), 6779 
journal 
Vanishing theorems and singularities in birational geometry (with L. Ein and M. Mustata) book in preparation 

On the Mori cone of blowups of the plane unpublished 
arxiv 
Lectures on relative motivic integration, MacPherson's transformation, and stringy Chern classes lectures held during the VIGRE MiniCourse on
Arc Spaces and Motivic Integration, University of Utah, May 2005 
draft 