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For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

New research in fish suggests that gut microbes can have a crucial early influence on the brain’s social development.

Albert Einstein’s ideas about space-time aren’t exactly intuitive, and they aren’t exactly Einstein’s, either.

An energy-efficient chip called NeuRRAM fixes an old design flaw to run large-scale AI algorithms on smaller devices, reaching the same accuracy as wasteful digital computers.

Lattice cryptography promises to protect secrets from the attacks of far-future quantum computers.

Supergenes that lock inherited traits together are widespread in nature. Recent work shows that their blend of genetic benefits and risks for species can be complex.

A growing catalog of huge but dim galaxies such as Dragonfly 44 is forcing astronomers to invent new theories of galactic evolution.

For Lisa Kaltenegger and her generation of exoplanet astronomers, decades of planning have set the stage for an epochal detection.

Marine bacteria normally seen as single cells join together as a “microscopic snow globe” to consume bulky floating carbohydrates.