This post is a collection of materials that are related to the KPZ equation. It is, in any measure, not complete. I just want to have a good repository of references on the subject. Also, it is a way for me to organize knowledge.
An unordered list of mathematicians appearing in the field (which is almost surely incomplete, updated as time goes forward; for quick referencing):
The purpose of regularity structures, introduced in [Hai14] and motivated by [Lyo98, Gub04], is to generalise Taylor expansions using essentially arbitrary functions/distributions instead of polynomials.