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The Four-Color Theorem Gets a Rare New Proof

September 10, 2026

By revisiting the famous problem — which was controversially solved in the 1970s with the help of computers — mathematicians have gained important new insights into the nature of graphs.

AI Has Solved One of Math’s $1 Million Millennium Prize Problems

September 8, 2026

Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” But the massive result is not without controversy.

Does Computer Science Need Computers?

August 28, 2026

The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without them.

‘Huge Breakthrough’ in the Math of Imbalance

August 21, 2026

For the first time in 30 years, computer scientists have found a better way to allocate objects evenly between two groups.

Are We Thinking Correctly About AI Intelligence?

August 20, 2026

Computer scientist Melanie Mitchell discusses why artificial intelligence doesn’t “think” or “reason” like humans, and how we can create better methods for measuring machine cognition.

Building a Quantum Computer, One Fragile Qubit at a Time

August 19, 2026

No one yet knows which technology will power the quantum computers of the future, but the race to create them has already produced some of science’s most intricate machinery.

Is AI Reasoning Right for the Wrong Reasons?

July 31, 2026

The idea that artificial intelligence can “reason” is more intuitive than ever. But intuitions can be wrong, and the science is far from settled.

A Master of the Traveling Salesperson Problem Finds His Own Path

July 23, 2026

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

Thermodynamic Computers Go With the (Energy) Flow

July 15, 2026

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