Enumerative geometry of
divisorial families of rational curves (Annali Scuola Normale Superiore-Pisa ser. 5
vol.3 (2004), 67-85
)
Normal bundles of
rational curves in projective spaces (to appear in Asian J. Math.)
Errata-Addendum for
'The degree of the divisor of jumping rational curves (Quart.J.Math 52
(2001), 367-383)
Canonical Infinitesimal Deformations
(J. Alg Geometry 9 (2000), 43-69 )
Universal deformations of
Hodge structures and Calabi-Yau Schottky relations (Inventiones math.
138 (1999), 425-449)
Jacobi cohomology, local
geometry of moduli spaces, and Hitchin’s connection (unpublished longer version)
Jacobi cohomology, local
geometry of moduli spaces, and Hitchin’s connection
(Proc. London Math. Society (3) 92 (2006), pp. 545-580)
Geometry on nodal
curves (Compositio Math. 141 (2005), 1191-1212)
Structure of the cycle map for Hilbert schemes of nodal curves (to appear in Israel J. Math.)
Cycle map on Hilbert Schemes of Nodal Curves " (in 'Projective Varieties
with Unexpected Properties, a volume in honor of G. Veronese's 150th
birthday ', ed. Chiantini et al., Berlin: De Gruyter 2005 , pp.363-380)
A note on Hilbert schemes
of nodal curves (J. Algebra 292 (2005), 429-446)
(correction April '06)
Twisted genus bounds
for subvarieties of generic hypersurfaces (with Herb Clemens)
( Amer. J. Math. 126 (2004), 89-120)
Addendum to 'Twisted genus bounds
for subvarieties of generic hypersurfaces' (with Herb Clemens)
The minus-1
twist (Amer. J. Math. 126 (2004)))
On the irreducibility of
secant cones, and an application to linear
normality (with Angelo Lopez) (Duke Math. J. vol 117 (2003), 389-401)
Rational curves in projective spaces
Lie atoms and their deformation theory (Geometric & Functional Analysis 18 (2008), 184-221).
The Atiyah extension of a Lie algebra deformation (J.
Lie Theory 15 (2005), 497-503)
Correction to 'Curvilinear Enumerative Geometry' (Acta Math. vol. 155, 1985)
Jacobi-Bernoulli cohomology and deformations of schemes and maps (C. Euro. J. Math., 2012, 10(4), 1541-1591)
Echelon modifications of vector bundles (Comm. Alg vol. 41 (2013), 1846-1853).
)
Tautological module and intersection theory on Hilbert schemes of nodal curves (As. J. Math vol. 17 (2) 2013, 193-264)
Canonical systems and their limits on stable curves (J. Algebra 399 (2014), 634-656)
Unobstructedness of filling secants and the Gruson-Peskine generic projection theorem
(Duke Math. J., to appear in 2015)
On a theorem of Mark Green
Deformations of holomorphic pseudo-symplectic Poisson manifolds
Deformations of log-Lagrangian submanifolds of Poisson manifolds, Internat. Math. Research Notices 2015 (2015),
9792-9805
Evolution equations in Hilbert-Mumford calculus (Hodge theory
and classical algebraic geometry, Contemporary Math. 2015)
A note on cotangent sheaves of Hilbert schemes of families of planar curves (J. Pure Applied Algebra 2015)
MODIFICATIONS OF HODGE BUNDLES AND
ENUMERATIVE GEOMETRY :
THE STABLE HYPERELLIPTIC LOCUS (Selecta math., to appear)
On syzygies of reducible curves (Coll. math., to appear)
Incidence stratifications on Hilbert schemes of smooth surfaces
and an application to Poisson structures (Internat. J. math., to appear)
Superficial fibres of generic projections (J. Inst Math. Jussieu, to appear)
List of publications updated Feb '16
-
Lecture Notes for Math 137: Plane Curves (updated March '06)
Part 1
Part 2
Part 3
Part 4