AI & Computingarticle2026-09-21

New discretised polynomial expander and incidence estimates

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Abstract

Abstract We present two applications of recent developments in incidence geometry. One is a ‐discretised version of a particular ‘Elekes–Rónyai’ expander problem. The second is an incidence estimate addressing the scenario in which both tubes, squares and their shadings satisfy non‐concentration assumptions.

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View paper (DOI)Open access versionOpenAlexBulletin of the London Mathematical SocietyPublished 2026-09-21

Authors: Ciprian Demeter, William O'Regan

Institutions: University of British Columbia, Indiana University Bloomington