Cosmin Pohoata: The Cayley-Bacharach theorem and its applications

> The Cayley-Bacharach theorem and its applications Cosmin Pohoata’s new and beautiful blog post presents several combinatorial applications of the Cayley–Bacharach theorem. Let me also mention his earlier post, in which he gave a new proof of Jamison’s direction tree theorem: every finite noncollinear point set in admits a admits a direction tree—that is, a spanning tree whose edges have pairwise distinct directions. In January, after a long break, Cosmin wrote another post presenting an entropy-based proof of an interesting product–sum theorem over finite fields. Some direction trees from Jamison’s original paper By Gil Kalai