A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Sophie Germain was a brilliant, self-taught mathematician who won one of France's most prestigious prizes, yet she declined ...

The idea that reality might be a kind of cosmic software has moved from late night dorm debates into serious physics journals ...

For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and ...

Quantum information theory is a field of study that examines how quantum technologies store and process information. Over the ...

The idea that reality—the universe, our world, and everything we perceive—is a simulation has fascinated philosophers and scientists for millennia, but new findings suggest that the theory, despite ...

Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...

Russell has a PhD in the history of medicine, violence, and colonialism. His research has explored topics including ethics, science governance, and medical involvement in violent contexts. Russell has ...

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...