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Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.

Why do mathematicians enjoy proving the same results in different ways?

Can we test speculations about how quantum physics affects black holes and the Big Bang?

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.

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