Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Most people know Tycho Brahe, if they know him at all, as the astronomer with the metal nose. Fewer people know how he actually lost the real one, and the story turns out to be exactly as strange as ...

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

Math is often the most challenging class in a student’s course load. But it doesn’t have to be. Follow these tips to prevent ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

In this video, we provide essential "math help" for the "ged test", specifically addressing problems where a calculator is not allowed. This "math tutorial" covers 12 different "math problem" examples ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...