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His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.

Researchers are one step closer to injecting probability into deterministic machines.

In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.

Herd immunity differs from place to place, and many factors influence how it’s calculated.

While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”

Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.