Balogh and Solymosi's new paper https://doi.org/10.19086/da.4438

constructs \(n\) points in the plane, no four in line, with max general-position subset size \(O(n^{5/6+\epsilon})\), much better than the previous \(o(n)\). I recently rescued a Wikipedia article on Solymosi, https://en.wikipedia.org/wiki/J%C3%B3zsef_Solymosi, adding book references for his results, but omitted my favorite (this one) because it wasn't published. Now it is, but the book reference would be too self-serving to add...