This post contains brief descriptions of some mathematics that one would need to know in order to have a realistic chance of contributing to the collaborative research project I shall suggest in the next post. If you are familiar with the Hales-Jewett theorem, Szemerédi’s regularity lemma, the triangle-removal lemma, and the proof from the triangle-removal lemma that a dense subset of contains a corner, then you do not need to read it. (more…)