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A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it.

The simple insight that most changes are random had a profound effect on genetics, evolution and ecology.

The medical research scientist and Quanta puzzle columnist Pradeep Mutalik explores how to make sense of COVID-19 data while managing your personal risk.

Awash in coronavirus data, misinformation and tremendous uncertainty, we need to put our risk analysis skills to the ultimate test.

Ronald Rivest helped come up with the RSA algorithm, which safeguards online commerce. Now he’s hoping to make democratic elections more trustworthy.

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.

There are many different ways to think about probability. Quantum mechanics embodies them all.

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