For context, these are some things I learned in the process of putting together and delivering a guest lecture to a first-year discrete math course last summer. The talk was about the research I was doing at the time, and I was allotted about half an hour for the presentation. Again, I meant to write and post this last year, but clearly that didn’t happen.

I really meant to put this list up sometime last fall… whoops. (This is yet another incredibly overdue article.) Anyway, here are a whole bunch of things I learned while attempting to “do research” last summer, whatever that means. The big theme here is to make life easier for future you, who will have to wrangle together your several months of chaos and exploration into a rigorous and coherent narrative. Present you can help by being organized and breaking things down into smaller, documentable steps.