A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations

[with B. Bakker]

Higher multiplier ideals

[with R. Yang]

Hodge theory and Lagrangian fibrations on holomorphic symplectic manifolds

Degenerating complex variations of Hodge structure in dimension one

[with C. Sabbah]

A log resolution for the theta divisor of a hyperelliptic curve

[with R. Yang]

Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata

to appear in Proc. Amer. Math. Soc. [with L. Lombardi]

On the behavior of Kodaira dimension under smooth morphisms

to appear in Algebraic Geometry [with M. Popa]

Singular metrics and a conjecture by Campana and Peternell

to appear in Pure Appl. Math. Quart.

Finiteness for self-dual classes in integral variations of Hodge structure

Épijournal de Géométrie Algébrique, Special volume in honour of C. Voisin, Article no. 1 (2023) [with B. Bakker, Th. Grimm and J. Tsimerman]

Correction to "Height bounds and the Siegel property"

Algebra Number Theory 17 (2023), no. 6, 1231–1237 [with M. Orr]

Hodge modules and singular hermitian metrics

Math. Z. 303:28 (2023) [with R. Yang]

The Fourier-Mukai transform made easy

Pure Appl. Math. Quart. 18 (2022), no. 4, 1749–1770

Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities

J. Amer. Math. Soc. 34 (2021), no. 2, 315–368 [with S. Kebekus]

Pushforwards of pluricanonical bundles under morphisms to abelian varieties

J. Eur. Math. Soc. 22 (2020), 2511–2536 [with L. Lombardi and M. Popa]

An overview of Morihiko Saito's theory of mixed Hodge modules

In: Representation Theory, Automorphic Forms & Complex Geometry, A Tribute to Wilfried Schmid. Intl. Press, 2020, pp.27–80.

On a theorem of Campana and Păun

Épijournal de Géométrie Algébrique, Sep. 1, 2017, Vol. 1

Vanishing theorems for perverse sheaves on abelian varieties, revisited

Selecta Math. (N.S.) 24 (2018), no. 1, 63–84 [with B. Bhatt and P. Scholze]

Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Păun

Contemp. Math. 712 (2018), 143–195 [with Ch. Hacon and M. Popa]

Viehweg's hyperbolicity conjecture for families with maximal variation

Invent. Math. 208 (2017), no. 3, 677–713 [with M. Popa]

Hodge modules on complex tori and generic vanishing for compact Kähler manifolds

Geometry & Topology 21 (2017), 2419–2460 [with G. Pareschi and M. Popa]

Fields of definition of Hodge loci

London Math. Soc. Lecture Note Ser. 427 (2016), 275–291 [with M. Saito]

On Saito's vanishing theorem

Math. Res. Lett. 23, No. 2 (2016), pp. 499–527

On direct images of pluricanonical bundles

Algebra Number Theory 8 (2014), no. 9, 2273–2295 [with M. Popa]

The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds

J. High Energ. Phys. 1405, 135 (2014) [with M. Douglas and D. Park]

Holonomic D-modules on abelian varieties [Erratum]

Inst. Hautes Études Sci. Publ. Math. 121 (2015), no. 1, 1–55

Kodaira dimension and zeros of holomorphic one-forms

Ann. of Math. 179 (2014), no. 3, 1109–1120 [with M. Popa]

Torsion points on cohomology support loci: from D-modules to Simpson's theorem

London Math. Soc. Lecture Note Ser. 417 (2015), 405–421

Weak positivity via mixed Hodge modules

Contemp. Math. 647 (2015), 129–137

Absolute Hodge classes

In: Hodge theory. Vol. 49. Mathematical Notes. Princeton Univ. Press, 2014, pp.469–530 [with F. Charles]

Generic vanishing theory via mixed Hodge modules

Forum Math. Sigma 1 (2013), e1, 60pp. [with M. Popa]

Moduli of products of stable varieties

Compositio Math. 149 (2013), no. 12, 2036–2070 [with B. Bhatt, Z. Patakfalvi and W. Ho]

The zero locus of the infinitesimal invariant

Fields Inst. Commun. 67 (2013), 589–602 [with G. Pearlstein]

Residues and filtered D-modules

Math. Annalen 354 (2012), no. 2, 727–763

Complex-analytic Néron models for arbitrary families of intermediate Jacobians

Invent. Math. 188 (2012), no. 1, 1–81

The fundamental group is not a derived invariant

EMS Ser. Congr. Rep. 8 (2011), 279–285

Canonical cohomology as an exterior module

Pure Appl. Math. Quart. 7 (2011), no. 4, 1529–1542 [with R. Lazarsfeld and M. Popa]

Derived invariance of the number of holomorphic 1-forms and vector fields

Ann. Sci. Éc. Norm. Supér (4) 44 (2011), no. 3, 527–536 [with M. Popa]

A variant of Néron models over curves

Manuscripta Math. 134 (2011), no. 34, 359–375 [with M. Saito]

Local duality and polarized Hodge modules

Publ. Math. Res. Inst. Sci. 47 (2011), no. 3, 705–725

Primitive cohomology and the tube mapping

Math. Z. 268 (2011), no. 3–4, 1069–1089

Two lectures about Mumford-Tate groups

Rend. Semin. Mat. Univ. Politec. Torino 69 (2011), no. 2, 199–216

The locus of Hodge classes in an admissible variation of mixed Hodge structure

C. R. Acad. Sci. Paris, Ser. I 348 (2010), 657–660 [with P. Brosnan and G. Pearlstein]

Two observations about normal functions

Clay Math. Proc. 9 (2010), 75–79

Graded duality for filtered D-modules

[with M. Saito]

On the locus of limit Hodge classes

Surfaces with big anticanonical class

[with D. Chen]

Canonical extensions of local systems

Idempotent ultrafilters and polynomial recurrence

The boundary behavior of cohomology classes and singularities of normal functions

[Ohio State University, 2008]