The elegant mathematics of Harry Markowitz, while foundational, has become a fragile relic in an era defined by non-linear market regimes ...

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.

Posts from this author will be added to your daily email digest and your homepage feed. is editor-in-chief of The Verge, host of the Decoder podcast, and co-host of The Vergecast. Today on Decoder, ...

A practical 2026 AI roadmap covers programming, data, machine learning, deep learning, LLMs, RAG, agents, evaluation, deployment, and portfolio projects for real ...

OpenAI’s latest AI model, Astra, has gained attention for solving ten significant mathematical problems, including breakthroughs in sphere packing and geometric conjectures. These areas have ...

OpenAI Group PBC revealed Saturday that an internal version of Astra, the model family it calls its next major release, produced new results for 10 problems in mathematics and theoretical computer ...

An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

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 ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

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 ...

Richard Feynman described a decision-making problem and its solution in handwritten notes, but the meaning of the notes has been a mystery for almost 50 y. We decipher the problem and solution from ...