A study guide for the ${\mathrm{\ell }}^2$ decoupling theorem for the paraboloid

This article serves as a study guide for the ${\mathrm{\ell }}^2$ decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many expositions about the ${\mathrm{\ell }}^2$ decoupling theorem already exist. Our study guide is intended to complement and combine these existing resources in order to provide a more gentle introduction to the subject.