Carl Wang-Erickson - Papers and Preprints

  1. The rank of Mazur's Eisenstein ideal. [pdf] [arXiv] [abstract]
    Joint with Preston Wake. Submitted, 2017.
  2. Deformation conditions for pseudorepresentations. [pdf] [arXiv] [abstract]
    Joint with Preston Wake. Submitted, 2017.
  3. A Harder-Narasimhan theory for Kisin modules. [pdf] [arXiv] [abstract] [slides]
    Joint with Brandon Levin. Submitted, 2016.
  4. Ordinary pseudorepresentations and modular forms. [pdf] [arXiv] [abstract] [video]
    Joint with Preston Wake. To appear in Proc. Amer. Math. Soc.
  5. Pseudo-modularity and Iwasawa theory. [pdf] [arXiv] [abstract]
    Joint with Preston Wake. To appear in Amer. J. Math.
  6. Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings. [journal] [pdf] [arXiv] [abstract]
    To appear in Mathematische Annalen.

Undergraduate Papers

  1. Parameterized families of quadratic number fields with 3-rank at least 2. [journal]
    Acta Arithmetica 130 (2007), no. 2, 141-147. With Nathan Kaplan, Neil Mendoza, Allison M. Pacelli, and Todd Shayler.
  2. Orders at infinity of modular forms with Heegner divisors. [journal]
    Proc. Amer. Math. Soc. 135 (2007), no. 10, 3115-3126. With Alison Miller and Aaron Pixton.

In preparation

  1. Cohomological control of deformation theory via A-infinity structure. [abstract] [summary]
  2. The Eisenstein ideal with squarefree level. With Preston Wake.
  3. Class groups and local indecomposability for non-CM forms. With Francesc Castella.

You can also take a look at my arXiv page.

Research Collaborators