3 papers
math.CO2026
Growth beyond exponent for convexity and iterated sum sets
Michalis Kokkinos, Oliver Roche-Newton
We prove that the bound \[ \max \{ |16A|,|16f(A)| \} \gg_m |A|^{\frac{3}{2}+\frac{1}{162}} \] holds for any polynomial with degree and any finite $A \subset \mathbb…
math.CO2025
On four-rich points defined by pencils
Michalis Kokkinos, Audie Warren
In this paper we study the number of four-rich points defined by pencils of certain algebraic objects. Our main result concerns the number of four-rich points defined by four sheav…
math.CO2025
An improved bound on the number of dot products determined by a finite point set in the plane
Michalis Kokkinos
We are interested to bound from below the number of distinct dot products determined by a finite set of points in the Euclidean plane. In this paper, we build on the work of B.…