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How We Can Make Sense of Chaos

By David S. Richeson
March 2, 2022
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Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

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Why Triangles Are Easy and Tetrahedra Are Hard

By Patrick Honner
January 31, 2022
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The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

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How Infinite Series Reveal the Unity of Mathematics

By Steven Strogatz
January 24, 2022
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Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

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What Does It Mean for AI to Understand?

By Melanie Mitchell
December 16, 2021
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It’s simple enough for AI to seem to comprehend data, but devising a true test of a machine’s knowledge has proved difficult.

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Will We Ever Get Rid of COVID-19?

By Tara C. Smith
November 30, 2021
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No matter how much we’d like to eradicate SARS-CoV-2, it may be better to settle for other forms of control.

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What Hot Dogs Can Teach Us About Number Theory

By Patrick Honner
November 18, 2021
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The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

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The Uselessness of Useful Knowledge

By Robbert Dijkgraaf
October 20, 2021
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Today’s powerful but little-understood artificial intelligence breakthroughs echo past examples of unexpected scientific progress.

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The Simple Math Behind the Mighty Roots of Unity

By Patrick Honner
September 23, 2021
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Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

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The Journey to Define Dimension

By David S. Richeson
September 13, 2021
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The concept of dimension seems simple enough, but mathematicians struggled for centuries to precisely define and understand it.


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