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Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

Freeman Dyson — physicist, mathematician, writer and idea factory — died on February 28, but his vitality lives on.

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

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Equations, like numbers, cannot always be split into simpler elements.

Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.

Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

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