An article by Kevin Hartnett describes the background behind a new breakthrough that bridges number theory and geometry, just the latest triumph for a close-knit group of mathematicians. They have been working on probably the single biggest project in mathematics, the Langlands program – described by the Berkeley mathematician Edward Frenkel as “a kind of grand unified theory of mathematics” – the program, first envisioned by the mathematician Robert Langlands in the late 1960s. This seeks to draw connections between number theory and geometry so as to use tools from one field to make discoveries in the other.

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