Origin of terminology:

I think the "refinement" terminology in connection with Christ's 1998 paper originates from Tao and Wright's <a href="https://arxiv.org/abs/math/0108137">2001 paper</a>, although the earliest explicit reference to "Christ's method of refinements" I could locate is a <A HREF="https://www.semanticscholar.org/paper/A-non-linear-generalisation-of-the-Loomis-Whitney-Bennett-Carbery/fc2039a582e16fb3d5364057af8e58827655e55d">2005 article.</A> Christ himself uses the term in a <A HREF="https://arxiv.org/abs/1106.0722">2011 article</A>.