A Survey of the Kakeya conjecture, 2000-2025
Classical Analysis and ODEs
2025-12-11 v1
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.
Keywords
Cite
@article{arxiv.2512.09397,
title = {A Survey of the Kakeya conjecture, 2000-2025},
author = {Joshua Zahl},
journal= {arXiv preprint arXiv:2512.09397},
year = {2025}
}
Comments
17 pages, 2 figures. Submitted to the Proceedings of the ICM 2026