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The Navier-Stokes Equations, Explained

This video explores why the Navier-Stokes equations are so difficult, what it means for their solutions to blow up, and how a new AI-assisted proof is reshaping one of mathematics’ most famous unsolved problems.

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A Brazilian Wunderkind Who Calms Chaos

August 12, 2014

Artur Avila’s solutions to ubiquitous problems in chaos theory have earned him Brazil’s first Fields Medal.

Manjul Bhargava: The Musical, Magical Number Theorist

August 12, 2014

The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory.

A ‘Rebel’ Without a Ph.D.

March 26, 2014

A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project.