Carl Wang-Erickson - Papers and Preprints

This research is supported in part by Simons Foundation award 846912 and NSF grant DMS-2401384.

  1. Critical Lambda-adic modular forms and bi-ordinary complexes. [arXiv]
    With Francesc Castella.
    Preprint, 2024. 72 pages.
  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.
    To appear in Selecta Mathematica.
  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] [corrigendum]
    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.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or other funding agencies.