Abstract
This is the research project for the Scientific Initiation of Isaac Silva da Mota, to be developed under the supervision of Professor Lucas Colucci, at the Institute of Mathematics and Statistics, USP, from November 1, 2025, to October 31, 2026. In it, the student will study classic and contemporary methods in the area of Additive Combinatorics, divided into two branches:(1) Algebraic/pol…