Hidden correspondences hint at a deeper structure to the mathematical universe. Our columnist unpacks one of those connections and asks mathematicians what they might mean.
Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” ...
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help ...
The group — consisting of then-postdocs Sahar Diskin and Philip Easo, graduate student Ritvik Ramanan Radhakrishnan, Benny ...
No larger than the head of a match, Potamopyrgus antipodarum doesn’t look very impressive. Few people visiting New Zealand’s Lake Alexandrina even notice the tiny gastropods littering the shores. The ...
The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without ...
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help and harm her field. Are We Thinking Correctly About AI Intelligence?
Sarah Demers, chair of the physics department at Yale University, sees the potential for large language models to both help and harm her field. Computer scientist Melanie Mitchell discusses why ...
The quest to make mathematics rigorous has a long and spotty history — one mathematicians can learn from as they push to formalize everything in the computer program Lean.