Comments, corrections and
suggestions are always welcome.
The quantum cohomology of flag varieties and the periodicity of the Littlewood-Richardson coefficients. (pdf) Preliminary version. Any comments, corrections, suggestions are welcome.
A Littlewood-Richardson rule for partial flag varieties. (pdf). This is a preliminary version of a Littlewood-Richardson rule for arbitrary partial flag varieties. Any comments, corrections and suggestions are welcome. GALLERY (html)
A Littlewood-Richardson rule for two-step flag varieties (pdf). A substantially revised version of my old manuscript.
Geometric positivity in the cohomology of homogeneous
spaces and generalized Schubert calculus (joint with Ravi Vakil) (pdf). Submitted to the Seattle
Proceedings.
The cohomology of the space of k-planes on
quadrics. Coming soon
Divisors on the space of maps to Grassmannians (joint with
Jason Starr). (pdf). International Mathematics Research Notices, vol. 2006, Article ID 35273, 25 pages, 2006.
The effective cone of the Kontsevich moduli space (joint
with Joe Harris and Jason Starr). (pdf).
To appear in the Canadian Mathematical Bulletin.
The ample cone of the Kontsevich moduli space (joint with Joe
Harris and Jason Starr) (pdf).
To appear in the Canadian Journal of Mathematics.
Gromov-Witten invariants of jumping curves (pdf). Transactions of the American Mathematical Society. 360 (2008), p. 989-1004.
A Littlewood-Richardson rule for two-step flag varieties Revised version (pdf). Submitted. NEW
Gallery (html).
Degenerations of surface scrolls and Gromov-Witten invariants of
Grassmannians (pdf).
Journal of Algebraic Geometry. 15 (2006), p. 223-284.
The enumerative geometry of Del Pezzo surfaces via degenerations
(pdf). American
Journal of Mathematics. vol. 128 no. 3 (2006), p. 751-786.
The arithmetic and the geometry of Kobayashi hyperbolicity (pdf). Snowbird lectures in algebraic geometry. Contemporary Mathematics, vol 388 (2005) p. 77-88.
A first glimpse at the minimal model program (pdf). (with 8 coauthors) Snowbird lectures in algebraic geometry. Contemporary
Mathematics, vol 388 (2005) p. 17-42.
Degenerations of scrolls and Del Pezzo surfaces and applications
to enumerative geometry, Thesis, Harvard University, 2004.