A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.

Peter Diamond for Quanta Magazine

number theory

Mathematicians Find Moonshine Link for Pariah Symmetries

A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.

A new idea is helping to explain the puzzling success of today’s artificial-intelligence algorithms — and might also explain how human brains learn.
Wired to Learn: The Next AI

New Theory Cracks Open the Black Box of Deep Learning

A new idea is helping to explain the puzzling success of today’s artificial-intelligence algorithms — and might also explain how human brains learn.

A tiny self-organized mesh full of artificial synapses recalls its experiences and can solve simple problems. Its inventors hope it points the way to devices that match the brain’s energy-efficient computing prowess.
Wired to Learn: The Next AI

A Brain Built From Atomic Switches Can Learn

A tiny self-organized mesh full of artificial synapses recalls its experiences and can solve simple problems. Its inventors hope it points the way to devices that match the brain’s energy-efficient computing prowess.

Computer scientists are finding ways to code curiosity into intelligent machines.
Wired to Learn: The Next AI

Clever Machines Learn How to Be Curious

Computer scientists are finding ways to code curiosity into intelligent machines.

How many Neanderthals were there? Archaeology and genetics have given very different answers. A new study reconciles them and reveals the lost history of these ancient people — including an early brush with extinction.
evolution

Genetics Spills Secrets From Neanderthals’ Lost History

How many Neanderthals were there? Archaeology and genetics have given very different answers. A new study reconciles them and reveals the lost history of these ancient people — including an early brush with extinction.

Latest Podcast


00:00/00:00
geometry

Pentagon Tiling Proof Solves Century-Old Math Problem

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.

Latest Puzzle


Can you discover a simple mathematical result of Mendelian genetics that describes how genes interact with each other?
insights puzzle

Are Genes Selfish or Cooperative?

Can you discover a simple mathematical result of Mendelian genetics that describes how genes interact with each other?

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