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Fields Medal

All articles tagged with #fields medal

mathematics1 month ago•21 min saved

A Quiet Genius Reshapes Geometry with the 2026 Fields Medal

John Pardon, renowned for turning hard problems into unifying frameworks, has earned the 2026 Fields Medal for ground‑breaking work in knot theory, topology, and symplectic geometry—ranging from showing arbitrarily large knot distortion to resolving the MNOP conjecture on Calabi–Yau manifolds—and for developing new tools like virtual cycles and what’s now called the Pardon algebra, which are reshaping the foundations of symplectic geometry.

via Quanta Magazine|

#fields-medal #john-pardon #knot-theory

science1 month ago•3 min saved

China makes math history with its first Fields Medal winners

Two Chinese mathematicians, Hong Wang and Yu Deng, won the Fields Medal—the math world’s top prize—alongside John Pardon (US) and Jacob Tsimerman (Canada), marking China’s first Fields Medalists and Wang as only the third woman to win; each laureate receives CAD 15,000. Wang helped solve the 1917 Kakeya pencil-rotation problem in 3D, while Deng addressed Hilbert’s Sixth Problem by linking microscopic particle behavior to macroscopic gas dynamics. Wang studied at Peking University, MIT, and in France, and now teaches at NYU and IHES, while Deng is a professor at the University of Chicago; the prize is awarded every four years to under-40 mathematicians. Macron congratulated Wang.

via BBC|

#china #fields-medal #kakeya-problem

mathematics1 month ago•22 min saved

Hong Wang Breaks New Ground with 2026 Fields Medal win

Hong Wang and collaborator Joshua Zahl proved the 3D Kakeya set conjecture, a landmark result at the crossroads of harmonic analysis, geometric measure theory, and PDE, earning Wang the 2026 Fields Medal—the third woman to win the prize. The award caps a remarkable journey from Guilin to France, MIT, and NYU, and showcases Wang’s use of multiscale analysis and innovative “sticky” Kakeya techniques to rule out counterexamples, reshaping the field and pointing to future work on higher-dimensional Kakeya problems.

via Quanta Magazine|

#fields-medal #fractals #geometric-measure-theory