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The four-color problem is simple to explain, but its complex proof continues to be both celebrated and despised.

Learn why the quadratic formula works and why quadratics are easier to solve than cubics.

Several real-life pathogens can change a host’s behavior against their will. Here’s what we know about these zombie-like infections.

The critical brain hypothesis suggests that neural networks do their best work when connections are not too weak or too strong.

Whether you’re passing secret notes in class or downloading images from a space probe, Reed-Solomon codes offer an ingenious way to embed information and correct for errors.

Making sure our machines understand the intent behind our instructions is an important problem that requires understanding intelligence itself.

Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.

Albert Einstein’s ideas about space-time aren’t exactly intuitive, and they aren’t exactly Einstein’s, either.

Far from being an abstract mathematical curiosity, knot theory has driven many findings in math and beyond.