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Having solved a central mystery 关于 the “twirliness” of tornadoes and other types of vortices, William Irvine has set his sights on turbulence, the white whale of classical physics.

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Emily Riehl is rewriting the foundations of higher category theory while also working to make mathematics 更多 inclusive.

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Recent major surveys show that reductions in genomic complexity — including the loss of key genes — have successfully shaped the evolution of life throughout history.

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Three mathematicians have resolved a fundamental question about straight paths on the 12-sided Platonic solid.

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AI tools are shaping next-generation theorem provers, and with them the relationship between math and machine.

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A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.

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Studies suggest that self-disseminating vaccines could prevent the “spillover” of animal viruses into humans as pandemic diseases.

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Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world.

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A brain circuit that suppresses distracting sensory information holds important clues about attention and other cognitive processes.


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Awash in coronavirus data, misinformation and tremendous uncertainty, we need to put our risk analysis skills to the ultimate test.


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Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.


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