By making the first progress on the “chromatic number of the plane” problem in over 60 years, an anti-aging pundit has achieved mathematical immortality.

Atomic clocks are letting physicists tighten the lasso around elusive phenomena such as dark matter.

Independent scientists have cast serious doubt on a claimed detection of dark matter.

The statistician Donald Richards lives to uncover subtle patterns hiding in real-world data.

How the ultra-cooperative behavior of ants, bees and other social insects could have evolved continues to challenge formal analysis. But a new theory about hedging bets against nature’s unpredictability may change the math and shift the debate.

Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.

Can a set of simple instructions produce complex, three-dimensional living structures?

A technique based on genetic bar codes can easily map the connections of individual brain cells in unprecedented numbers. Unexpected complexity in the visual system is only the first secret it has revealed.

A recent experiment shows how quantum mechanics can make heat flow from a cold body to a hot one, an apparent (though not real) violation of the second law of thermodynamics.