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

Enterprise AI agents have a new production failure mode, and it is not the model. As enterprises move from single-layer RAG to hybrid retrieval architectures, the same underlying data produces ...

Alan Milburn says youth unemployment has no quick fixes – an idea with an important lesson for those thinking about how to rejoin the EU Mainstream politicians are rarely direct. It is part of the ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

What are the most pressing global crises in 2026? Each year, the International Rescue Committee’s (IRC) Emergency Watchlist identifies the countries at greatest risk of new or worsening humanitarian ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Microsoft’s MSFT0.54%increase; up pointing triangle Copilot chatbot has become central to its artificial-intelligence strategy as the company’s close partnership with OpenAI diminishes. But the effort ...

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Sven, a sales leader, received a call from a major customer who was furious. Their order arrived late, the product was damaged, and to top it off, their invoice didn’t reflect the volume discount ...

We study the application of the generalized convolution quadrature (gCQ) based on Runge--Kutta methods to approximate the solution of an important class of sectorial problems. The gCQ generalizes ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...