1. Breuil-Kisin modules via crystalline cohomology (with Tong Liu) (pdf)

  2. Dieudonné crystals and Wach modules for p-divisible groups (with Eike Lau) (pdf)

  3. The geometry of Hida families II: Λ-adic (φ,Γ)-modules and Λ-adic Hodge theory (pdf)

  4. The Geometry of Hida families I: Λ-adic de Rham cohomology (pdf)


  5. On F-crystalline representations (with Tong Liu)
    Documenta Mathematica, 21 (2016), 223--270. (pdf)

  6. A characterization of strictly APF extensions (with Chris Davis and Jonathan Lubin)
    J. Théorie des Nombres de Bordeaux, to appear. (pdf)

  7. Canonical Cohen rings for norm fields (with Chris Davis)
    Int. Math. Res. Notices (IMRN) (2014), doi:10.1093/imrn/rnu098. (pdf)

  8. On the Up-operator in characteristic p
    Math Res. Lett. 21 (2014), No. 2, pp. 1-6. (pdf)

  9. Random Dieudonné Modules, Random p-Divisible Groups, and Random Curves Over Finite Fields (with Jordan Ellenberg and David Zureick-Brown)
    J. Inst. Math. Jussieu 12 (2013), No. 3, pp. 651-676. (pdf)

  10. Canonical Extensions of Néron Models of Jacobians
    Algebra & Number Theory 4 (2010), No. 2, pp. 111-150. (pdf)

  11. Canonical Integral Structures on the de Rham Cohomology of Curves
    Annales de l'Institut Fourier 59 (2009), No. 6, pp. 2255-2300. (pdf)

  12. Modular Curves and Ramanujan's Continued Fraction (with Brian Conrad)
    J. Reine Angew. Math. (Crelle's Journal) 597 (2006), pp. 27-104. (pdf)
    Erratum to Appendix D.

    Ph.D. Thesis

  13. Compatibilities, correspondences, and integral structures in p-adic cohomology.
    The University of Michigan, 2007, supervised by Brian Conrad. (pdf)

See here for other expository notes and other mathematical writings.