The same phenomenon by which an opera singer can shatter a wineglass also underlies the very existence of subatomic particles.

Back when the sun was 30% dimmer, Earth should have frozen solid. Yet water flowed and life blossomed. The solution to the paradox shows that we might have that faint sun to owe for life’s existence —…

The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

Large blocks of genes conserved through hundreds of millions of years of evolution hint at how the first animal chromosomes came to be.

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Two teams have shown how quantum approaches can solve problems faster than classical computers, bringing physics and computer science closer together.

If only scientists understood exactly how electrons act in molecules, they’d be able to predict the behavior of everything from experimental drugs to high-temperature superconductors.

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

Researchers have mapped hundreds of semantic categories to the tiny bits of the cortex that represent them in our thoughts and perceptions. What they discovered might change our view of memory.

Two researchers show that for neural networks to be able to remember better, they need far more parameters than previously thought.

The strong force holds protons and neutrons together, but the theory behind it is largely inscrutable. Two new approaches show how it works.

Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.

Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.

Molecular detective work is zeroing in on the origins of sexual reproduction. The protein tools for cell mergers seem to have long predated sex — so what were they doing?

Algorithms that use the brain’s communication signal can now work on analog neuromorphic chips, which closely mimic our energy-efficient brains.

How to win games by going second and leaving your opponent with no good options.

Celia Escamilla-Rivera is combining large data sets with supercomputers to test general relativity against its little-known competitors.

A 3D digital model of a “minimal cell” leads scientists closer to understanding the barest requirements for life.

For the first time, experiments demonstrate the possibility of sharing secrets with perfect privacy — even when the devices used to share them cannot be trusted.

When astronomers tried to confirm a signal from the birth of the first stars after the Big Bang, they saw nothing.