Latest Articles

Machine Learning Aids Classical Modeling of Quantum Systems

September 14, 2023

By using “classical shadows,” ordinary computers can beat quantum computers at the tricky task of understanding quantum behaviors.

‘Species Repulsion’ Enables High Biodiversity in Tropical Trees

September 13, 2023

Because tree seedlings don’t grow as well when close to their parents, more tree species can be packed into tropical forests.

A Tower of Conjectures That Rests Upon a Needle

September 12, 2023

On its surface, the Kakeya conjecture is a simple statement about rotating needles. But it underlies a wealth of mathematics.

Physicists Observe ‘Unobservable’ Quantum Phase Transition

September 11, 2023

Measurement and entanglement both have a “spooky” nonlocal flavor to them. Now physicists are harnessing that nonlocality to probe the spread of quantum information and control it.

The Biggest Smallest Triangle Just Got Smaller

September 8, 2023

A new proof breaks a decades-long drought of progress on the problem of estimating the size of triangles created by cramming points into a square.

How Scientists Are Tackling the Tricky Task of Solar Cycle Prediction

September 7, 2023

Scientists have struggled to accurately forecast the strength of the sun’s 11-year cycle — even after centuries of solar observations.

Magnetism May Have Given Life Its Molecular Asymmetry

September 6, 2023

The preferred “handedness” of biomolecules could have emerged from biased interactions between electrons and magnetic surfaces, new research suggests.

Alan Turing and the Power of Negative Thinking

September 5, 2023

Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.

Q&A

Why Mathematical Proof Is a Social Compact

August 31, 2023

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach.

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