Carl Wang-Erickson - Papers and Preprints

  1. Class groups and local indecomposability for non-CM forms. [pdf] [arXiv] [abstract]
    With Francesc Castella. Preprint, 2018.
  2. The Eisenstein ideal with squarefree level. [pdf] [arXiv] [abstract]
    With Preston Wake. Submitted, 2018.
  3. The rank of Mazur's Eisenstein ideal. [pdf] [arXiv] [abstract] [video]
    With Preston Wake. Submitted, 2017.
  4. Deformation conditions for pseudorepresentations. [pdf] [arXiv] [abstract]
    With Preston Wake. Submitted, 2017.
  5. A Harder-Narasimhan theory for Kisin modules. [pdf] [arXiv] [abstract] [slides]
    With Brandon Levin. Submitted, 2016.
  6. Ordinary pseudorepresentations and modular forms. [journal] [pdf] [arXiv] [abstract] [video]
    With Preston Wake.
    Proc. Amer. Math. Soc. Ser. B 4 (2017), 53-71.
  7. Pseudo-modularity and Iwasawa theory. [journal] [pdf] [arXiv] [abstract]
    With Preston Wake.
    Amer. J. Math. 140 (2018), no. 4, 977-1040.
  8. 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]

Other sources

You can also take a look at my arXiv page and expository manuscripts page.
There's also my ORCID iD page ORCID iDhttps://orcid.org/0000-0002-1230-7574.

Research Collaborators

Main page.