I'm trying to understand cotangent complexes and their role in deformation theory, and later the statement that they're somehow natural in a derived scheme/stack.
I understand that the standard reference is Illusie's two books, unfortunately my French abilities are lacking
I'm aware of the stacks project treatment. It looks quite terse. Is there a more elementary treatment?
I think the nlab article is amazing, shame it's rather brief.
People who understand the cotangent complex: how did you first learn it?