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Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections.

Imagine if we lived on a cube-shaped Earth. How would you find the shortest path around the world?

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.

Online comment platforms can bring out the best — and the worst — in people. At the end of a tumultuous year, *Quanta*’s editors highlight some of our favorite things you had to say.

Even as mathematicians and computer scientists proved big results in computational complexity, number theory and geometry, computers proved themselves increasingly indispensable in mathematics.

Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.

Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now.

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