Publications: (on
the arxiv)
- Generic
vanishing and minimal cohomology classes on abelian
fivefolds, with Mihnea Popa and Stefan
Schreieder, preprint.
- Complete
moduli of cubic threefolds and their intermediate
Jacobians, with Samuel Grushevsky, Klaus Hulek
and Radu Laza, preprint.
- An introduction to moduli
stacks, with a view towards Higgs bundles on
algebraic curves, with Jonathan Wise, preprint.
- On
descending cohomology geometrically, with Jeff
Achter and Charles Vial, preprint.
- The
singularities and birational geometry of the
universal compactified Jacobian, with Jesse Kass
and Filippo Viviani, preprint.
- Extending
the Prym map to toroidal compactifications of the
moduli space of abelian varieties, with Samuel
Grushevsky, Klaus Hulek and Radu Laza, to appear in
JEMS.
- A
tour of stable reduction with applications, A
celebration of algebraic geometry, 65--117, Clay
Math. Proc., 18, Amer. Math. Soc., Providence, RI,
2013.
- Log
canonical models and variation of GIT for genus four
canonical curves, with David Jensen and Radu
Laza, J. Algebraic Geom. 23 (2014), no. 4,
727--764.
- The
geometry of the ball quotient model of the moduli
space of genus four curves, with David Jensen
and Radu Laza, Compact moduli spaces
and vector bundles, 107--136, Contemp.
Math., 564,
Amer. Math. Soc., Providence, RI, 2012.
- The
local structure of compactified Jacobians, with
Jesse Kass and Filippo Viviani, Proc. Lond. Math. Soc.
110 (2015), no. 2, 510--542.
- The
geometry and combinatorics of cographic toric face
rings, with Jesse Kass and Filippo Viviani,
Algebra and Number Theory 7 (2013), no. 8,
1781--1815.
- Simultaneous
semi-stable
reduction for curves with ADE singularities,
with Radu Laza, Trans. Amer. Math. Soc. 365
(2013), no. 5, 2271--2295.
- A
Riemann singularity theorem for integral curves,
with Jesse Kass, Amer. J. Math., 134 (2012),
no. 5, 1143--1165.
- Cohomological
support loci for Abel-Prym curves, with Marti
Lahoz and Filippo Viviani, Matematiche (Catania), Vol.
LXIII (2008) -- Fasc. I, 205--222.
- The moduli
space of cubic threefolds via degenerations of the
intermediate Jacobian, with Radu Laza,
J. reine angew. Math. 633 (2009), 29--65.
- Singularities
of theta divisors in algebraic geometry,
Curves and
abelian varieties, 25--43, Contemp. Math., 465, Amer. Math.
Soc., Providence, RI, 2008.
- Singularities
of Brill-Noether loci for vector bundles on curves,
with Montserrat Teixidor i Bigas, Math. Nach. 284 (2011), no.
14-15, 1846--1871.
- Some
examples
of
vector
bundles
in
the base locus of the generalized theta divisor,
with Tawanda Gwena and Montserrat Teixidor i Bigas, C.
R. Math. Acad. Sci. Paris 347 (2009), no. 3-4, 173--176.
- Cubic
threefolds
and abelian varieties of dimension five. II,
Math. Z. 260
(2008), no. 1, 115--125.
- Singularities
of the Prym theta divisor, Ann. of Math. 170 (2009), no.
1, 163--204.
- Cubic
threefolds
and
abelian
varieties
of
dimension five, with Robert Friedman, J.
Algebraic Geom. 14 (2005), no. 2, 295--326.
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