Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature. PhD candidates from the ...

AI agents began providing "answers" to unsolved mathematical problems. At the beginning of the year, it was only a matter of ...

The COSMOS framework trains orthonormal subspace frames with conjugation-based gauge-style updates, holding geometric ...

This is a guest post by Tristan Buckmaster. This blog post was initially written in a different file format and converted using AI. — T.] This blog post expands on a theme mentioned at the ...

The rise of AI-powered learning and assessment tools has dismantled the long-standing competitive moat once exclusively held ...

We have scanned the stars for intelligent life. What we eventually find may be an AI species that had left behind its ...

OpenAI said its models generated proof that the Exponential Time Hypothesis is false. It also released new results for math ...