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Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.
Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.
Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses.
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.
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