Preprints


  1. Hopf structures in the cohomology of Ag, GLn(Z), and SLn(Z) (with F. Brown, M. Chan, and S. Galatius)
  2. Extensions of tautological rings and motivic structures in the cohomology of Mg,n (with S. Canning and H. Larson)
  3. The Kodaira dimensions of M22 and M23 (with G. Farkas and D. Jensen)
  4. The local motivic monodromy conjecture for simplicial nondegenerate singularities (with M. Larson and A. Stapledon)

In Press


  1. Weight two compactly supported cohomology of moduli spaces of curves (with T. Willwacher) To appear in Duke Math. J.

Publications


  1. Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves (with J. Bergström and C. Faber) Ann. of Math. (2) 199 (2024), no. 3, 1323–1365
  2. Tropical curves, graph complexes, and top weight cohomology of Mg (with M. Chan and S. Galatius) J. Amer. Math. Soc. 34 (2021), no. 2, 565–594
  3. A tropical motivic Fubini theorem with applications to Donaldson-Thomas theory (with J. Nicaise) Duke Math. J. 168 (2019), no. 10, 1843–1886
  4. Nonarchimedean geometry, tropicalization, and metrics on curves (with M. Baker and J. Rabinoff) Algebraic Geometry 3 (2016), no. 1, 63–105
  5. The tropicalization of the moduli space of curves (with D. Abramovich and L. Caporaso) Ann. Sci. Éc. Norm. Supér. 48 (2015), no. 4, 765–809
  6. A tropical proof of the Brill-Noether Theorem (with F. Cools, J. Draisma, and E. Robeva) Adv. Math. 230 (2012), no. 2, 759–776
  7. Analytification is the limit of all tropicalizations Math. Res. Lett. 16 (2009), no. 3, 543–556