2026 Fields Medals: Four Winners, Four Problem-Solving Methods Worth Knowing

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The 2026 Fields Medals were awarded on July 23, recognizing four mathematicians for breakthroughs on long-standing mathematical problems. Wang Hong of NYU Courant and Deng Yu of the University of Chicago, both Peking University alumni, became the first two Chinese nationals to win the prize in the same year. Wang Hong, alongside collaborator Joshua Zahl, published a 127-page proof resolving the century-old three-dimensional Kakeya Conjecture using a multiscale analysis technique. Deng Yu made a significant advance on Hilbert's 6th Problem through work in wave turbulence theory, while Jacob Tsimerman and John Pardon were honored for resolving the André-Oort Conjecture and the 3D Hilbert-Smith Conjecture respectively. The mathematical methods behind these breakthroughs have practical implications in fields ranging from medical imaging and antenna engineering to artificial intelligence research.

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