Mathematician Hong Wang, Kakeya Conjecture

By Xah Lee. Date: .
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Mathematician Hong Wang, Kakeya Conjecture

Hong Wang (Chinese: 王虹; born 1991) is a Chinese mathematician who works in Fourier analysis and geometric measure theory. She received the Maryam Mirzakhani New Frontiers Prize in 2022.

On 24 February 2025, Wang and her collaborator Joshua Zahl posted an arXiv preprint “Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions” claiming to solve the Kakeya conjecture in three dimensions. The general Kakeya conjecture has been described by Terence Tao as “one of the most sought-after open problems in geometric measure theory”. The claimed proof is considered to be a breakthrough in geometric measure theory.

Hong Wang math 2025-06-10 0f892
Hong Wang math 2025-06-10 0f892

What is Kakeya Conjecture

Kakeya Conjecture 2025-06-10 0fbca
Kakeya Conjecture 2025-06-10 0fbca