List of Works

Journal articles

Polynomial bounds on the number of automorphisms of a surface of general type, Ann. Scient. Éc. Norm. Sup. 24, 1991, pp. 113--137
Factoring birational maps of threefolds after Sarkisov, Journal of Algebraic Geometry 4, 1995, pp. 223--254
Del Pezzo surfaces over Dedekind schemes, Annals of Mathematics 144, 1996, pp. 641--683
Motivic decomposition and Intersection Chow Groups I (with M. Hanamura), Duke Math. Journal 103, 2000, pp. 459--522
Twisted bundles and admissible covers (with D. Abramovich and A. Vistoli), Communications in Algebra 31, no. 8, 2003 (special issue in honor of Steven L. Kleiman), pp. 3547--3618
Birational geometry of terminal quartic 3-folds I (with M. Mella), Amer. J. Math. 126, no. 4, 2004, pp. 739--761
What is...a flip?, Notices of the American Mathematical Society 51, 2004, pp. 1350--1351
Conifold transitions and Mori theory (with I. Smith), Math. Res. Lett. 12, 2005,pp. 767--778
Motivic decomposition and intersection Chow groups II (with M. Hanamura), Pure Appl. Math. Q. 3, 2007, pp. 181--203

Recent results in higher dimensional birational geometry, in ``Complex Algebraic Geometry'', MSRI Publications 28, 1995, pp. 35--56
Weighted Grassmannians (with M. Reid), in ``Algebraic Geometry (a volume in memory of Paolo Francia)'', M.C. Beltrametti, F. Catanese, C. Ciliberto, A. Lanteri and C. Pedrini Eds., Walter de Gruyter, Berlin and New York, 2002, pp. 141--163
Birational geometry of 3-fold Mori fibre spaces (with G. Brown and F. Zucconi), Proceedings of the Fano Conference (Torino, Italy, 29 Sept.---5 Oct. 2002), A. Conte, A. Collino and M. Marchisio Eds., Torino, 2004, pp. 235--275

Existence of terminal flips (with J. Kollár), in ``Flips and abundance for threefolds", Astérisque 211, 1992, pp. 69--73
Adjunction of log divisors, in ``Flips and abundance for threefolds", Astérisque 211, 1992, pp. 171--182
Fano 3-fold hypersurfaces (with A. Pukhlikov and M. Reid), in ``Explicit Birational Geometry of 3-folds'', LMS LNS 281, A. Corti and M. Reid Eds., CUP, 2000, pp. 175--258
Singularities of linear systems and 3-fold birational geometry, in ``Explicit Birational Geometry of 3-folds'', LMS LNS 281, A. Corti and M. Reid Eds., CUP, 2000, pp. 259--312
3-fold flips after Shokurov, in ``Flips for 3-folds and 4-folds'', Edited by Alessio Corti, Oxford Lecture Series in Mathematics and Its Applications 35, Oxford University Press, 2007, pp. 18--48
Saturated mobile b-divisors on weak del Pezzo klt surfaces (with James M^cKernan, and Hiromichi Takagi), in ``Flips for 3-folds and 4-folds'', Edited by Alessio Corti, Oxford Lecture Series in Mathematics and Its Applications 35, Oxford University Press, 2007, pp. 111--120

Rational and nearly rational varieties (main authors J. Kollár and K. Smith), Cambridge Univ. Press, Cambridge, 2004

Explicit birational geometry of 3-folds, A. Corti and M. Reid Eds., CUP, 2000, 349 + v pages
Flips for 3-folds and 4-folds, Edited by Alessio Corti, Oxford Lecture Series in Mathematics and Its Applications 35, Oxford University Press, 2007, 200 pages

Families of Del Pezzo surfaces, University of Utah PhD dissertation, 1992, 58 pages
Semistable 3-fold flips, alg-geom/9505035, 1995, 14 pages; appeared in revised form as Chapter 7 in the book Birational Geometry of Algebraic Varieties, by J. Kollár and S. Mori (with the collaboration of C.H. Clemens and A. Corti), Cambridge Tracts in Mathematics 134, CUP, 1998, 254 + viii pages

Hypergeometric Equations and Weighted Projective Spaces (with V. Golyshev), math.AG/0607016, 24 pages
The Quantum Orbifold Cohomology of Weighted Projective Space (with T. Coates, H. Iritani and Y.P. Lee), math.AG/0608481, 50 pages, to appear in Acta Math.
Wall-Crossings in Toric Gromov-Witten Theory I: Crepant Examples (with T. Coates, H. Iritani and H.-H. Tseng), math.AG/0611550, 67 pages, submitted
Computing Genus-Zero Twisted Gromov-Witten Invariants (with T. Coates, H. Iritani and H.-H. Tseng), math.AG/0702234, 22 pages, submitted
The Crepant Resolution Conjecture for Type A Surface Singularities (with T. Coates, H. Iritani and H.-H. Tseng), arXiv:0704.2034, 19 pages, submitted
Lectures on flips and minimal models (with P. Hacking, J. Kollár, R. Lazarsfeld and M.Mustata), arXiv:0706.0494, 29 pages

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