By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

Recent results show that large language models struggle with compositional tasks, suggesting a hard limit to their abilities.

Under the sea ice during the Arctic’s pitch-black polar night, cells power photosynthesis on the lowest light levels ever ...

Individual cells in the brain light up for specific ideas. These concept neurons, once known as “Jennifer Aniston cells,” ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a ...

The library sorting problem is used across computer science for organizing far more than just books. A new solution is less ...

Is the universe infinite, Aristotle asked in 350 BCE, “or is this an impossibility? The decision … is … all-important to our search for the truth.” The Greek ...

The mathematician and author Steven Strogatz and the astrophysicist and author Janna Levin interview leading researchers about the great scientific and mathematical questions of our time.

These Terms and Conditions (“Terms”) apply when you visit or use a website, service, mobile application, or other content (collectively, the “Site”) provided by The Simons Foundation, Inc. and any of ...