An exploration of how mathematicians are still renovating and rebuilding the core pillars of their field today.

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Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

They ask us to believe, for example, that the world we experience is fundamentally divided from the subatomic realm it’s built from. Or that there is a wild proliferation of parallel universes, or ...

Innovations in imaging and genetic engineering are coming together to probe the biophysics of cytoplasm inside living animals.

The V-JEPA system uses ordinary videos to understand the physics of the real world.

Take a jaunt through a jungle of strange neurons underlying your sense of touch, hundreds of millions of years of animal evolution and the dense neural networks of brains and AIs. Mixing Is the ...

“Anomalous” heat flow, which at first appears to violate the second law of thermodynamics, gives physicists a way to detect quantum entanglement without destroying it. Analog vs. Digital: The Race Is ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...