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):

## Introduction

## Regularity Structures

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.