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Fields and Abacus Medals 2026

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.

Living Fully in the Math World Means Threading the Needle

July 23, 2026

Focus, commitment, and insight resulted in a “once in a century” proof. Hong Wang is now just the third woman to win a Fields Medal.

Sometimes Being First Means Seeing the End Before Anyone Else

July 23, 2026

Determination and effort propelled Jacob Tsimerman to the top of the math world. But now that he’s won a Fields Medal, he worries that the field is in jeopardy.

The Quietest Mathematician Has Always Been Worth Listening To

July 23, 2026

John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a Fields Medal.

Amid Life’s Chaos, a Meticulous Mathematician Finds Stability

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.

After 80 Years, Mathematicians Give Famed ‘Erdős Method’ an Upgrade

June 26, 2026

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his technique even more powerful.

What Is the Positive Grassmannian and Why Does It Show Up Everywhere?

June 25, 2026

Lauren Williams tells 'The Joy of Why' how studying a fundamental object in algebraic combinatorics led to a career full of surprises.

Seven Perfect Shuffles Randomize a Deck of Cards. But How Many Sloppy Ones?

June 17, 2026

A decades-old proof showed that seven shuffles are enough to mix up a deck of cards. But it requires you to cut the deck with the precision of a professional magician. A new proof gets around that obstacle.

How Terry Tao Became an Evangelist for AI in Math

June 8, 2026

With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in mathematical research.