The mathematician Alessio Figalli is rarely in one place for very long. But his work has established the stability of everything from crystals to weather fronts by using concepts derived from Napoleonic fortifications.

18-year-old Ewin Tang has proven that classical computers can solve the “recommendation problem” nearly as fast as quantum computers. The result eliminates one of the best examples of quantum speedup.

Psychedelic drugs can trigger characteristic hallucinations, which have long been thought to hold clues about the brain’s circuitry. After nearly a century of study, a possible explanation is crystallizing.

Researchers explore a loophole that extracts useful energy from a fluid’s seemingly random motion. The secret? Sugar and asymmetry.

A quickly closed loophole has proved that the “great smoky dragon” of quantum mechanics may forever elude capture.

Researchers find evidence that neural systems actively remove memories, suggesting that forgetting may be the default mode of the brain.

In the hunt for new fundamental particles, physicists have always had to make assumptions about how the particles will behave. New machine learning algorithms don’t.

New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”

Sau Lan Wu spent decades working to establish the Standard Model of particle physics. Now she’s searching for what lies beyond it.