Fields Medal 2026 winners embrace mathematician Hong Wang — the third girl to ever win within the award’s 90-year historical past — for fixing decades-old needle conjecture
The 2026 Fields Medal, one of many world’s most prestigious arithmetic prizes, has simply been awarded to 4 pioneering younger researchers — together with mathematician Hong Wang, the third girl ever to win the prize within the 90 years for the reason that award was established.
The Fields Medal is an award offered each 4 years to mathematicians beneath the age of 40 for his or her excellent discoveries. The Worldwide Mathematical Unionintroduced Thursday (July 23) that Wang, a professor at New York College, is among the many 4 recipients of the 2026 medal for her work on a decades-old conjecture about how needles transfer in 3D areas. .
The 2026 Fields Medal winners additionally embrace Yu Deng of the College of Chicago, who was acknowledged for connecting microscopic and macroscopic descriptions of gases; John Pardon of Stony Brook College, whose work solved main issues in topology and geometry; and Jacob Tsimerman of the College of Toronto, who developed highly effective new methods in algebraic geometry which have superior progress on longstanding mathematical puzzles.
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Wang joins an exceptionally small group of girls to obtain the Fields Medal. Iranian mathematician Maryam Mirzakhani was the primary, in 2014, adopted by Ukrainian mathematician Maryna Viazovska in 2022. No girl acquired the award in any respect within the practically 80 years earlier than Mirzakhani’s win.
The 4 2026 Fields Medal honorees. From left to proper: Yu Deng, John Pardon, Jacob Tsimerman, and Hong Wang.
(Picture credit score: ERIN BLEWETT through Getty Photos)
Wang was acknowledged for her work on the Kakeya conjecture, an issue that asks how little house is required to rotate a needle in order that it factors in each attainable path in three dimensions. Mathematicians had chased an answer for roughly 50 years.
Working with collaborator Joshua Zahl, Wang confirmed that should you observe each path the needle may level as a bundle of skinny tubes, there is a exact trade-off between how skinny these tubes are and the way a lot whole house they need to occupy. Fixing the puzzle required instruments from harmonic evaluation, a subject that research how complicated shapes and alerts could be damaged down into less complicated items.
The proof wasn’t a triumphant second for Wang, a minimum of not straight away. She and Zahl spent months checking their 127-page proof earlier than making it public — and even then, Wang frightened that their argument is likely to be unclear. The paper nonetheless earned comparisons to a “once-in-a-century” consequence and set off a string of honors culminating within the Fields Medal, in line with Quanta Journal.
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The 2026 Fields Medals had been offered in the course of the Worldwide Congress of Mathematicians in Philadelphia. The primary Fields Medal was awarded in 1936. Up to now, 65 males have acquired the award.
