Hong Wang
A mathematician and 2025 Fields Medal laureate specializing in harmonic analysis. Together with Joshua Zahl, she proved the three-dimensional Kakeya conjecture.
Timeline (last 90 days)
OpenAI's mathematics research touches on the quasi-Riemann hypothesis, the Hodge conjecture, and the BSD conjecture, and extends Hong Wang's Fields Medal-winning three-dimensional Kakeya set dimension conjecture to four dimensions.
In July 2024, Hong Wang and Yu Deng received the Fields Medal at the International Congress of Mathematicians in Philadelphia.
The planar case of the Kakeya conjecture was proved by Davies in 1971, the three-dimensional case was resolved by Hong Wang and Joshua Zahl, and the four-dimensional case and above had not been proved by anyone before.
The 2025 proof by Hong Wang and Zahl simultaneously resolved both the Hausdorff dimension and Minkowski dimension versions of the three-dimensional Kakeya set conjecture.
Guth was Wang Hong's doctoral advisor at MIT, and OpenAI's three-dimensional paper directly drew on the simplified proof by Guth, Wang Hong, and Zahl.
All Facts (5)
The planar case of the Kakeya conjecture was proved by Davies in 1971, the three-dimensional case was resolved by Hong Wang and Joshua Zahl, and the four-dimensional case and above had not been proved by anyone before.
50%UnverifiedThe 2025 proof by Hong Wang and Zahl simultaneously resolved both the Hausdorff dimension and Minkowski dimension versions of the three-dimensional Kakeya set conjecture.
50%UnverifiedGuth was Wang Hong's doctoral advisor at MIT, and OpenAI's three-dimensional paper directly drew on the simplified proof by Guth, Wang Hong, and Zahl.
50%UnverifiedIn July 2024, Hong Wang and Yu Deng received the Fields Medal at the International Congress of Mathematicians in Philadelphia.
50%UnverifiedOpenAI's mathematics research touches on the quasi-Riemann hypothesis, the Hodge conjecture, and the BSD conjecture, and extends Hong Wang's Fields Medal-winning three-dimensional Kakeya set dimension conjecture to four dimensions.
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