The algebraicity of sieved sets and rational points on curves

Miguel Walsh
University of Oxford

We will discuss some connections between the polynomial method, sieve theory, inverse problems in arithmetic combinatorics and the estimation of rational points on curves. Our motivating questions will be to classify those sets that are irregularly distributed in residue classes and to understand how many rational points of bounded height can a curve of fixed degree have.

Back to Workshop IV: Finding Algebraic Structures in Extremal Combinatorial Configurations