Quantum computers—devices that process information using quantum mechanical effects—have long been expected to outperform ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Solid-state batteries could store more energy and charge faster than today’s batteries, but they tend to crack and fail over time. Stanford researchers found that a nanoscale silver treatment can ...

Microsoft’s MSFT-2.15%decrease; red down pointing triangle Copilot chatbot has become central to its artificial-intelligence strategy as the company’s close partnership with OpenAI diminishes. But the ...

In 2002, an unknown mathematician quietly posted a paper online that stunned the academic world. It solved a problem that had defeated the greatest minds for over a century. A $1 million prize and the ...