Commutative algebra inspired by modularity lifting
arXiv:2510.11875
Abstract
This article gives an overview of some recent results in commutative algebra that are inspired by the work of Wiles, Taylor and Wiles, Diamond, Lenstra and others on the modularity of elliptic curves.
This is submitted to the proceedings of the International Congress of Mathematicians 2026. 11 pages. Comments welcome. Minor corrections, mostly typographical, in this version