Recent events in the field of AI for mathematics have shown us beyond all reasonable doubt that the field is currently undergoing a rapid transformation, unlike anything that we have ever seen befo…

Responsible Release of AI-Generated Mathematics September 29, 2026 Back to main page Download PDF At present, some frontier AI labs are testing advanced mathematical problems on proprietary models …

The Agrawal-Kayal-Saxena (AKS) primality test, discovered in 2002, is the first provably deterministic algorithm to determine the primality of a given number with a run time which is guaranteed to …

A subset $X$ of a finite group $G$ is $k$-power-avoiding if for all $g\in G$ we have that $\{g,g^k\}\not\subseteq X$. The paper shows that if $G$ contains a $k$-power-avoiding subset $X$ with $|X|\geq...

Remember when OpenAI landed in hot water earlier this month after mathematicians accused the company of trying to steal their thunder for solving an ultra-difficult math problem? (I know it feels like...

I am proud to be among the list of 25 initial signatories — all Fields Medallists — to the declaration below, which grew out of discussions between ourselves over the last week. We have…

A remarkable achievement: Alpöge and Buckmaster have managed to push one of the major promising approaches towards constructing blowup solutions to fluid equations --- as developed by Cordoba and Mart...

The ‘hugely important artefact’ that’s followed 14 children since they were seven is set to air its final instalment. The now-septuagenarians and director Asif Kapadia talk about breaking new ground for 63 years – and changing TV forever

A new sculpture has appeared next to Barnes railway bridge, and appropriately for its location, it’s made from pieces of the old railway bridge itself.

A walk through a modern apartment, through the eyes of the people for whom everything in it was new.

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