Every four years, the math world’s preeminent awards are given to the finest minds of a generation. The young winners — all under 40 on the first day of the year — have reshaped mathematics and theoretical computer science. Here are their stories.

The post Fields and Abacus Medals 2026 first appeared on Quanta Magazine

One might imagine that, for a mathematician, proving a monumental theorem is a blissful experience. It wasn’t so for Hong Wang. In February 2025, Wang and her collaborator Joshua Zahl presented a 127-page proof of a long-standing conjecture at the intersection of multiple branches of math. The duo had been checking their work for months and had sent it to select colleagues for review before…

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When I was first learning to write, my letters and words ran from right to left, reversed as if in a mirror. Being left-handed, I was imitating the hand strokes of my right-handed teachers instead of reversing their strokes to replicate the letters. I gradually got the hang of writing in the correct direction, but it still feels natural for me to mirror-write. I have a mirror-written childhood…

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Every time I write about particle physics, I encounter a moment of uncertainty about a quantity that, at first glance, ought to be clear. How many kinds of elementary particles should I say there are? In experiments at the Large Hadron Collider, physicists smash together beams of protons, breaking them up into all possible elementary bits and pieces. Meanwhile, they have an incredibly accurate…

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