(For downloadable expository writing go to the relevant webpage.)

*Lifting Chern classes by means of Ekedahl-Oort strata** *(with Gerard van der Geer), 11 p. (Dec. 2019)

*Geometry of the Wiman-Edge pencil and the Wiman curve *(with Benson Farb), 28 p. (Dec. 2019)

*Arithmeticity of the monodromy of the Wiman-Edge pencil *(with Benson Farb), 28 p. (Nov. 2019)

*Curves with prescribed symmetry and associated representations of mapping class groups* (with Marco Boggi), 22 p. (Nov. 2018).

*Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects *(with Igor Dolgachev and Benson Farb), Eur. J. Math. **4** (2018), 879–930.

*Deforming a canonical curve inside a quadric *(with Marco Boggi), International Mathematics Research Notices.* ** *

*Goresky-Pardon lifts of Chern classes and some Tate extensions,* Compositio Math. **153** (2017), 1349-1371.

*The homotopy type of the Baily-Borel and allied compactifications* (with Chen Jiaming), 22 p. (August 2015).

*The stable cohomology of the Satake compactification of A_g* (with Chen Jiaming), Geometry and Topology **21** (2017), 2231-2241.

*Discrete automorphism groups of convex cones of finite type**, *Compositio Math. **150** (2014), 1939-1962.

*The fine structure of the moduli space of abelian differentials in genus 3 *(with G. Mondello), Geom. Dedicata **169** (2014), 109–128.

*From WZW models to modular functors*, Handbook of moduli. Vol. II, 427–466, Adv. Lect. Math. (ALM) **25**, Int. Press, Somerville, MA, 2013

*Connectivity of complexes of separating curves, *Groups Geom. Dyn. **7** (2013), 443–450.

*The KZ system via polydifferentials*. Arrangements of hyperplanes—Sapporo 2009, 189–231, Adv. Stud. Pure Math. **62**, Math. Soc. Japan, Tokyo, 2012.

*Spherical complexes attached to symplectic lattices *(with W. van der Kallen), Geom. Dedicata **152** (2011), 197–211.

*Hyperbolic structures and root systems *(with G. Heckman), in: Casimir force, Casimir operators and the Riemann hypothesis, 211–228, Walter de Gruyter, Berlin, 2010.

*Fermat varieties and the periods of some hypersurfaces,* Algebraic and arithmetic structures of moduli spaces (Sapporo 2007), 47–67, Adv. Stud. Pure Math. **58**, Math. Soc. Japan, Tokyo, 2010.

*On the unitary nature of abelian conformal blocks *(with A. Boer), J. Geom. Phys. **60** (2010), 205–218.

*Del Pezzo moduli via root systems *(with E. Colombo and B. van Geemen), in: Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. I, 291–337, Progr. Math. **269**, Birkhäuser Boston, Inc., Boston, MA, 2009.

*The period map for cubic fourfolds,* Invent. Math. **177** (2009), 213–233.

*Unitarity of SL(2)-conformal blocks in genus zero,* J. Geom. Phys. **59** (2009), 654–662.

*A perfect stratification of Mg for g≤5 *(with C. Fontanari)*, * Geom. Dedicata **136** (2008), 133–143.

*On period maps that are open embeddings *(with R. Swierstra), J. Reine Angew. Math. **617** (2008), 169–192.

*Artin groups and the fundamental groups of some moduli spaces,* J. Topol. **1** (2008), 187–216.

*The period map for cubic threefolds *(with R. Swierstra), Compositio. Math. **143** (2007), 1037–1049.

*Invariants of quartic plane curves as automorphic forms,* Algebraic geometry, 107–120, Contemp. Math. **422**, Amer. Math. Soc., Providence, RI, 2007.

*On the geometry of the Calogero-Moser system *(with W. Couwenberg and G. Heckman), Indag. Math. (N.S.) **16** (2005), 443–459.

*Geometric structures on the complement of a projective arrangement* (with W. Couwenberg and G. Heckman), Publ. Math. Inst. Hautes Études Sci. **101** (2005), 69–161.

*Compactifications defined by arrangements. II,* Locally symmetric varieties of type IV. Duke Math. J. **119** (2003), 527–588.

*Compactifications defined by arrangements. I,* The ball quotient case. Duke Math. J. **118 **(2003), 151–187.

*Correspondences between moduli spaces of curves, *in Moduli of curves and abelian varieties, 131–150, Aspects Math., E**33**, Vieweg, Braunschweig, 1999.

*A Lie algebra attached to a projective variety *(with V. Lunts), Invent. Math. **129** (1997), 361–412.

*Prym representations of mapping class groups,* Geom. Dedicata **64** (1997), 69–83.

*Stable cohomology of the mapping class group with symplectic coefficients and of the universal Abel-Jacobi map,* J. Algebraic Geom. **5** (1996), 135–150.

*Cellular decompositions of compactified moduli spaces of pointed curves,* The moduli space of curves (Texel Island, 1994), 369–400, Progr. Math. **129**, Birkhäuser Boston, Boston, MA, 1995.

*On the tautological ring of Mg*. Invent. Math. **121** (1995), 411–419.

*Smooth Deligne-Mumford compactifications by means of Prym level structures,* J. Algebraic Geom. **3** (1994), 283–293.

*Cohomology of M_3 and M_{3,1}, *in: Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991), 205–228, Contemp. Math. **150**, Amer. Math. Soc., Providence, RI, 1993. For a correction see *The Hodge polynomial of Mbar_{3,1}* (with E. Getzler).