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Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.

Mathematicians have long grappled with the reality that some problems just don’t have solutions.

Professional astronomers may not point their telescopes by hand anymore, but COVID-19 has still closed observatories and impeded research.

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

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.

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

Neuroscientists could use brain waves to spur immune cells into action against the disease — but the process is almost too fantastic to believe.

Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.

As COVID-19 cases continue to increase, our extensive knowledge of other coronaviruses informs our understanding.

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