Max G. Levy

Mathematicians thought they were on the cusp of proving a conjecture about the ancient structures known as Apollonian circles. But a summer project would lead to its downfall.

Today’s language models are more sophisticated than ever, but they still struggle with the concept of negation. That’s unlikely to change anytime soon.

A wave of research improves reinforcement learning algorithms by pre-training them as if they were human.

Anima Anandkumar wants computer scientists to move beyond the matrix, among other challenges.

Two teams have shown how quantum approaches can solve problems faster than classical computers, bringing physics and computer science closer together.

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits.

One of the strangest results in mathematics explains how it’s possible to turn one sphere into two identical copies, simply by rearranging its pieces.

Po-Shen Loh has harnessed his competitive impulses and iconoclastic tendencies to reinvigorate the U.S. Math Olympiad program.

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.