Seminars Sorted by Series

I will review some recent results regarding the general problem of characterizing algebraic surfaces of the form $F(x,y,z)=0$ that can contain $\Theta(n^2)$ points of a $n \times n \times n$ Cartesian product.

I will start from a simple statement: the radius of a sphere determines the shape of it. This simple statement has been generalized to the study of Riemann surfaces, K3 surfaces, Hyperkähler manifolds and other important objects. Recently, the...