By cracking a three-dimensional geometry puzzle that had baffled researchers for decades, mathematician Hong Wang has achieved what only two other women in history have accomplished: winning the Fields Medal, the world's most coveted prize in mathematics. Her historic win at the International Congress of Mathematicians in Philadelphia also marks the first time a Chinese woman has received the honor, sharing the spotlight with fellow Chinese-born scholar Yu Deng in an unprecedented double victory for China's mathematical community.
Wang, who holds appointments at New York University and France's Institut des Hautes Études Scientifiques, earned her medal primarily for resolving the Kakeya conjecture in three dimensions alongside Joshua Zahl of the University of British Columbia. The problem asks for the minimal volume required to rotate a needle of unit length in every spatial orientation. By conceptualizing the needle’s trajectory as a complex network of overlapping tubes, Wang established precise mathematical bounds linking line thickness to total volume—a breakthrough praised by the International Mathematical Union (IMU) for unlocking new avenues in harmonic analysis and partial differential equations.
Joining Wang among the 2026 laureates is Yu Deng of the University of Chicago, whose research addresses a fundamental gap between microscopic particle dynamics and macroscopic physics. Co-authoring key proofs with Zaher Hani and Xiao Ma, Deng derived the classical Boltzmann equation—used since the late 19th century to describe gas movements—directly from first-principles models of colliding hard spheres. His work resolves a long-standing challenge originally framed by David Hilbert in 1900 as part of his famous list of open problems to establish rigorous mathematical foundations for physics.
The 2026 cohort is rounded out by American topologist John Pardon of Stony Brook University and Canadian algebraist Jacob Tsimerman of the University of Toronto. Pardon was recognized for solving complex questions regarding how knots wrap around toroidal shapes and proving the 20-year-old MNOP conjecture in string theory geometry. Tsimerman was honored for importing "o-minimality"—a concept from mathematical logic—into algebraic geometry, advancing progress toward the Hodge conjecture, one of the seven Millennium Prize Problems carrying a million-dollar reward.
Often described as the Nobel Prize of mathematics, the Fields Medal is awarded every four years to up to four mathematicians under the age of 40 to honor both past achievements and future potential. The simultaneous recognition of Wang and Deng sparked widespread celebration across Chinese social media platforms, while also prompting public reflection on academic talent mobility. Both laureates completed their undergraduate education at Peking University before moving to the United States for doctoral and postdoctoral research. Their achievements come at a moment when global mathematical research remains deeply interconnected, highlighting both the international reach of elite talent and the enduring power of fundamental discovery.