||A famous mathematician's scoring rubric? No no no, that would be "Hilbert's scheme of points". Consider a natural problem: given a geometric space X, construct a new geometric space that parametrizes all subsets of X that contain exactly k points. This is not difficult to do. But now suppose that we want to compactify our new space. Then we need a plan for dealing with the issue of several points "colliding". I will describe a nice way of solving this problem in algebraic geometry and discuss some remarkable features of the resulting spaces. The most technical detail will be the grammatical remark made at the beginning of this paragraph.