Archive

Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

Physicists have been busy exploring how our universe might emerge like a hologram out of a two-dimensional sheet. New clues have come from the symmetries found on an infinitely distant “celestial sphere.”

Studies that map the adaptive value of viral mutations hint at how the COVID-19 pandemic might progress next.

A surprising new solution to Leonhard Euler’s famous “36 officers puzzle” offers a novel way of encoding quantum information.

A new result shows that quantum information can theoretically be protected from errors just as well as classical information can.

New studies reveal the ancient, shared genetic “grammar” underpinning the diverse evolution of fish fins and tetrapod limbs.

In the 1960s, drillers noticed that certain fluids would firm up if they flowed too fast. Researchers have finally explained why.

Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now.

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable.