SMRTR Science & EngineeringSep 9, 2026Quanta Magazine

What Is Math’s Mysterious Langlands Program Really About?

SMRTR summary

The Langlands Program is one of math's biggest and most mysterious ideas, connecting separate areas of mathematics that seem to have nothing to do with each other, like number theory and geometry. Discovered by Robert Langlands in the 1960s, it revealed deep, unexpected links across math's distant fields. These connections help mathematicians solve problems that would otherwise be impossible to crack alone.

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