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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.

A Master of the Traveling Salesperson Problem Finds His Own Path

Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.

Living Fully in the Math World Means Threading the Needle

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

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

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

The Organisms That Make Earth’s Harshest Places Home

Extremophiles that thrive in the most unforgiving environments aren’t just biological curiosities. Understanding their resilience has many implications for us.

Martin Picard’s Mitochondrial Theory of Mind

The biologist’s bold “energetic view of life” looks to the body’s strangest organelles as the link between cells, health, and mind and the foundation of our experience of being alive.

Thermodynamic Computers Go With the (Energy) Flow

Today’s computers need safeguards against random energy fluctuations. Thermodynamic computers would put those fluctuations to use.

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The 4-Page Paper That Broke Mathematics

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Special Features

Quanta Podcast


Is Life Just Different?

The idea of ‘biological agency’ — that life devises its own goals and behaves accordingly — complicates our understanding of what it means to be alive. But does it serve a scientific purpose?

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How Can Infinity Come in Many Sizes?

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

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Illuminating basic science and math research through public service journalism.

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Quanta Magazine is committed to in-depth, accurate journalism that serves the public interest. Each article braids the complexities of science with the malleable art of storytelling and is meticulously reported, edited and fact-checked. Launched and funded by the Simons Foundation, Quanta is editorially independent — our articles do not reflect or represent the views of the foundation.

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