paper

A Survey of the Kakeya conjecture, 2000-2025

arXiv:2512.09397 · doi:10.1137/25M1805965

Abstract

We survey progress on the Kakeya conjecture in Euclidean space, with an emphasis on developments that have occurred since the previous surveys by Wolff and Katz-Tao.

17 pages, 2 figures. Submitted to the Proceedings of the ICM 2026