Observations of faraway planets have forced a near-total rewrite of the story of how our solar system came to be.

Computer scientists can now solve a decades-old problem in practically the time it takes to write it down.

The lush biodiversity of the Amazon may be due in part to the dynamics of branching rivers, which serve as invisible fences that continuously barricade and merge bird populations.

Jared Duker Lichtman, 26, has proved a longstanding conjecture relating prime numbers to a broad class of “primitive” sets. To his adviser, it came as a “complete shock.”

Some animal neuropeptides have been around longer than nervous systems.

Using ideas borrowed from graph theory, two mathematicians have shown that extremely complex surfaces are easy to traverse.

The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.

How did life arise on Earth? Steven Strogatz speaks with the Nobel Prize-winning biologist Jack Szostak and Betül Kaçar, a paleogeneticist and astrobiologist, to explore our best understanding of how we all got here.

Physicists are building neural networks out of vibrations, voltages and lasers, arguing that the future of computing lies in exploiting the universe’s complex physical behaviors.