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

Detailed computer simulations have found that a cosmic contraction can generate features of the universe that we observe today.

The unintentional creation of “sturddlefish” hybrids may illuminate the genomic mechanisms that govern whether species can interbreed.

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

Research hints that the energy-generating organelles of cells may play a surprisingly pivotal role in mediating anxiety and depression.

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

A new model shows that the denizens of a vast, ancient biome beneath the seafloor use barely enough energy to stay alive — and broadens understanding of what life can look like.

An 18th-century physicist first predicted the existence of a chorus of atmospheric waves that swoop around Earth. Scientists have finally found them.

Emperor penguins display rigorously geometric spacing and mathematical efficiency when they huddle together for warmth, which may reveal secrets to their

Claudia de Rham showed how theories of “massive gravity” could potentially get rid of the need for dark energy.

By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with

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.

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

Push or crush a new class of materials, and they’ll undergo record-breaking temperature changes.

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

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

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

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

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

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

Cosmologists have concluded that the universe doesn’t appear to clump as much as it should. Could both of cosmology’s big puzzles share a single fix?