EF Learning-Informed Optimization

The goal of this project is: (a) to apply generative methods from AI to produce interesting classes of real plane algebraic curves, and (b) to make progress on the problem of classifying M-curves.
To this end we give explicit combinatorial patchworks for all 121 real schemes of curves in degree 7 and for some infinite families of curves whose members have different degrees. This approach strongly benefits from our development of an algorithm which extracts the isotopy type of a patchwork from its combinatorial data.