Yu Deng Wins 2026 Fields Medal for Solving Hilbert’s 6th Problem

3 articles · Updated · UChicago News · Jul 23

Philadelphia’s International Congress of Mathematicians awarded Yu Deng the 2026 Fields Medal for work that put parts of physics on firmer mathematical footing.
Deng was honored for resolving a key case of Hilbert’s sixth problem by proving how Newtonian particle dynamics lead to the Boltzmann equation, completing a missing link in the theory of gases.
His breakthrough grew from earlier research on wave turbulence: with collaborators Zaher Hani and Xiao Ma, he built a method to track and split vast collision histories into manageable pieces.
The result, unveiled in 2025, showed repeated particle collisions remain negligible enough for statistical independence to hold even over longer times, extending far beyond a 1975 short-time proof.
Deng, 16 when he won International Mathematical Olympiad gold in 2006, joined the University of Chicago in 2024 and is its 11th current or former Fields Medalist.

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Overview

On July 23, 2026, the Fields Medals were awarded at the International Congress of Mathematicians in Philadelphia, recognizing Yu Deng, John Pardon, Hong Wang, and Jacob Tsimerman. The announcement drew global attention, especially for Hong Wang and Yu Deng, whose groundbreaking work is expected to shape the future of fundamental science. Hong Wang's historic recognition highlights her major achievement on the 3D Kakeya conjecture, which has significantly advanced her field. The Fields Medal, accompanied by a gold coin and a cash prize, remains the highest honor for young mathematicians, celebrating contributions that inspire the next generation.

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