For a few months now, the mathematical world has been abuzz. Rumors abound of a new proof, monumental in length and virtually ...

Research: set-theoretic topology, selection principles, covering properties, covering dimension. Research: set theory, set-theoretic topology, selection principles, game theory, and combinatorics.

We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...

They sit, heads slightly bowed, pencils ready, each one thinking about how to tackle each individual problem. They display ...

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of ...

Previously: Part 5. Next: Part 7. A category theorist might imagine that a chapter with this title would be about constructing colimits, and they’d be half right.

FrontierMath's performance results, revealed in a preprint research paper, paint a stark picture of current AI model ...

The Indian Navy Agniveer exam is a competitive examination that requires a well-organised and dedicated preparation strategy.

“It had a big impact on my mathematical tastes. It’s a set of questions I’ve always found interesting and rewarding to work ... proposal for what the general story should be about these ...

Only about 20 mathematicians around the world support Mochizuki’s theory. One of them is Ivan Fesenko, a math professor at the University of Warwick in Britain, who hailed Mochizuki’s work as ...