Carl Wang-Erickson - Papers and Preprints

  1. Critical Lambda-adic modular forms and bi-ordinary complexes.
    With Francesc Castella.
    Preprint, 2024.
  2. Moduli Stacks of Galois representations and the p-adic local Langlands correspondence for GL2(Qp). [arXiv]
    With Christian Johansson and James Newton.
    Preprint, 2024. 66 pages.
  3. Explicit non-Gorenstein R=T via rank bounds II: Computation. [journal] [arXiv]
    With Catherine Hsu and Preston Wake.
    Res. Number Theory 9 (2023), no. 1, Paper No. 16, 52 pp.
    Part of the proceedings of ANTS-XV.
  4. Explicit non-Gorenstein R=T via rank bounds I: Deformation theory. [pdf] [arXiv]
    With Catherine Hsu and Preston Wake.
    Preprint, 2022. 57 pages.
  5. Higher Yoneda product structures and Iwasawa algebras modulo p. [pdf] [arXiv] [abstract]
    Preprint, 2021. 14 pages.
    To appear in Math Res. Letters.
  6. Presentations of non-commutative deformation rings via A-infinity algebras and applications to deformations of Galois representations and pseudorepresentations. [pdf] [arXiv] [abstract]
    Preprint, 2018. 84 pages.
  7. A base-change deformation functor. [arXiv] [abstract]
    An appendix to Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism, by Daniel Barrera Salazar and Chris Williams.
    Selecta Math. (N.S.) 27 (2021), no. 5, Paper No. 82, 45 pages.
  8. Class groups and local indecomposability for non-CM forms. [pdf] [arXiv] [abstract]
    With Francesc Castella.
    With an appendix by Haruzo Hida.
    J. Eur. Math. Soc. (JEMS) 24 (2022), no. 4, 1103-1160.
  9. The Eisenstein ideal with squarefree level. [journal] [pdf] [arXiv] [abstract] [slides]
    With Preston Wake.
    Advances in Mathematics 380 (2021), Paper no. 107543. 62 pages.
  10. The rank of Mazur's Eisenstein ideal. [journal] [pdf] [arXiv] [abstract] [video]
    With Preston Wake.
    Duke Mathematical Journal 169 (2020), no. 1, 31-115.
  11. Deformation conditions for pseudorepresentations. [journal] [pdf] [arXiv] [abstract]
    With Preston Wake.
    Forum of Mathematics, Sigma 7 (2019), e20. 44 pages.
  12. A Harder-Narasimhan theory for Kisin modules. [journal] [pdf] [arXiv] [abstract] [slides]
    With Brandon Levin.
    Algebraic Geometry 7 (2020), no. 6, 645-695.
  13. Ordinary pseudorepresentations and modular forms. [journal] [pdf] [arXiv] [abstract] [video]
    With Preston Wake.
    Proc. Amer. Math. Soc. Ser. B 4 (2017), 53-71.
  14. Pseudo-modularity and Iwasawa theory. [journal] [pdf] [arXiv] [abstract]
    With Preston Wake.
    Amer. J. Math. 140 (2018), no. 4, 977-1040.
  15. Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings. [journal] [pdf] [arXiv] [abstract]
    Math. Ann. 371 (2018), no. 3-4, 1615-1681.

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.

Other sources

You can also take a look at my arXiv page. My PhD thesis and other expository notes are here.
There's also my ORCID iD page ORCID logohttps://orcid.org/0000-0002-1230-7574.

Research Collaborators

Main page.