This is great – another of Luke Wolcott’s projects.
User’s guides are written about published or soon-to-be published mathematical research papers, by their authors, in order to provide meta-data and context for the results. They cover four topics:
Topic 1: Key insights and organizing principles — what is the essence of the paper?
Topic 2: Conceptual metaphors and mental imagery — how should we think about it?
Topic 3: Story of the development — how do you actually get from A to B?
Topic 4: Colloquial summary — how would you explain it to a non-mathematician?