Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel prize winner—that first posed the problem didn't believe it would ever be ...

Physicists are quietly advancing a radical idea: time might not be a single, thin line but a full three‑dimensional landscape. If that is true, the equations that describe the universe have to be ...

Mathematicians are “reinventing the wheel” by giving it a new shape. Their newly imagined wheel looks like a many-dimensional guitar pick, and it could theoretically roll in ways beyond our ...