Google’s AI R&D lab DeepMind says it has developed a new AI system to tackle problems with “machine-gradable” solutions. In experiments, the system, called AlphaEvolve, could help optimize some of the ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

Hard problems are usually not a welcome sight. But cryptographers love them. That’s because certain hard math problems underpin the security of modern encryption. Any clever trick for solving them ...

There weren’t calculators or computers in medieval Europe. But there were math duels. Mathematicians would gather in public squares and pose tricky math problems to each other. Then they raced to ...