Preprints


  1. Hopf structures in the cohomology of Ag, GLn(Z), and SLn(Z) (with F. Brown, M. Chan, and S. Galatius)
  2. Moduli spaces of curves with polynomial point counts (with S. Canning, H. Larson, and T. Willwacher)
  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)

Publications


  1. Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves (with J. Bergström and C. Faber) Ann. Math. (2) 199 (2024), no. 3, 1323–1365
  2. Extensions of tautological rings and motivic structures in the cohomology of Mg,n (with S. Canning and H. Larson) Forum Math. Pi 12 (2024) Paper No. e23, 31 pp.
  3. Weight 2 compactly supported cohomology of moduli spaces of curves (with T. Willwacher) Duke Math. J. 173 (2024), no. 16, 3107–3178.
  4. 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
  5. A tropical motivic Fubini theorem with applications to Donaldson-Thomas theory (with J. Nicaise) Duke Math. J. 168 (2019), no. 10, 1843–1886
  6. Nonarchimedean geometry, tropicalization, and metrics on curves (with M. Baker and J. Rabinoff) Algebraic Geometry 3 (2016), no. 1, 63–105
  7. 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
  8. A tropical proof of the Brill-Noether Theorem (with F. Cools, J. Draisma, and E. Robeva) Adv. Math. 230 (2012), no. 2, 759–776
  9. Analytification is the limit of all tropicalizations Math. Res. Lett. 16 (2009), no. 3, 543–556