Carl Wang-Erickson - Papers and Preprints
Critical Lambda-adic modular forms and bi-ordinary complexes.
With Francesc Castella.
Preprint, 2024.
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.
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.
Explicit non-Gorenstein R=T via rank bounds I: Deformation theory. [pdf] [arXiv]
With Catherine Hsu and Preston Wake.
Preprint, 2022. 57 pages.
Higher Yoneda product structures and Iwasawa algebras modulo p. [pdf] [arXiv] [abstract]
Preprint, 2021. 14 pages.
To appear in Math Res. Letters.
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.
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.
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.
The Eisenstein ideal with squarefree level. [journal] [pdf] [arXiv] [abstract] [slides]
With Preston Wake.
Advances in Mathematics 380 (2021), Paper no. 107543. 62 pages.
The rank of Mazur's Eisenstein ideal. [journal] [pdf] [arXiv] [abstract] [video]
With Preston Wake.
Duke Mathematical Journal 169 (2020), no. 1, 31-115.
Deformation conditions for pseudorepresentations. [journal] [pdf] [arXiv] [abstract]
With Preston Wake.
Forum of Mathematics, Sigma 7 (2019), e20. 44 pages.
A Harder-Narasimhan theory for Kisin modules. [journal] [pdf] [arXiv] [abstract] [slides]
With Brandon Levin.
Algebraic Geometry 7 (2020), no. 6, 645-695.
Ordinary pseudorepresentations and modular forms. [journal] [pdf] [arXiv] [abstract] [video]
With Preston Wake.
Proc. Amer. Math. Soc. Ser. B 4 (2017), 53-71.
Pseudo-modularity and Iwasawa theory. [journal] [pdf] [arXiv] [abstract]
With Preston Wake.
Amer. J. Math. 140 (2018), no. 4, 977-1040.
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
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.
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 https://orcid.org/0000-0002-1230-7574.
Research Collaborators
Main page.