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Mathematics

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Color Me Polynomial

August 13, 2019

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

How Randomness Can Make Math Easier

July 9, 2019

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

Random Surfaces Hide an Intricate Order

July 2, 2019

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

A 53-Year-Old Network Coloring Conjecture Is Disproved

June 17, 2019

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.

Q&A

A Mathematician Whose Only Constant Is Change

June 13, 2019

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Why the Proof of Fermat’s Last Theorem Doesn’t Need to Be Enhanced

June 3, 2019

Decades after the landmark proof of Fermat’s Last Theorem, ideas abound for how to make it even more reliable. But such efforts reflect a deep misunderstanding of what makes the proof so important.

How Geometry, Data and Neighbors Predict Your Favorite Movies

May 22, 2019

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Out of a Magic Math Function, One Solution to Rule Them All

May 13, 2019

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

The Subtle Art of the Mathematical Conjecture

May 7, 2019

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

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