Joan Birman popularized the Burau representation problem decades ago. Now she and two colleagues have a proof that reveals ...

Neither matter nor force, paraparticles would be something else entirely. Fresh hints that they exist are raising hopes that ...

Claude Opus 5 scored 30.2% on ARC-AGI-3, independently verified by ARC Prize, nearly quadrupling GPT-5.6 Sol's previous ...

If we consider an AI in the form of an LLM as a mathematical object, it represents a weakly structured set of coefficients.

Fields Medal 2026 winners were announced July 23 at ICM Philadelphia: Hong Wang, Yu Deng, John Pardon, and Jacob Tsimerman ...

Focus, commitment, and insight resulted in a “once in a century” proof. Hong Wang is now just the third woman to win a Fields ...

The mathematics of humanoid robot walking revolves around balancing dynamics using the center of mass (CoM), kinematic ...

John Pardon sees connections between different areas of math that others don’t. For that vision, he’s now been awarded a ...

Language is one of civilization’s most enduring archives. Institutions may disappear, political boundaries may change, and ...

For most of the past century, mathematicians have been exploring the limits of Ramsey theory, the study of order hiding inside chaos—or, more accurately, how much disorder can be packed into a system ...

The Constraints-Led Approach has been around for decades, but coach Alex Sarama has brought it to the WNBA for the first time.