“The parentheses feel artificial.” The octonions’ seemingly unphysical nonassociativity has crippled many physicists’ efforts to exploit them, but Baez explained that their peculiar math has also ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Note: Articles may be assigned to more than one subject area, as a result the sum of the subject research outputs may not equal the overall research outputs. Identify research insights to guide ...

This time of year finds me at my cabin in the Upper Peninsula surrounded by nature. And appreciating nature is enhanced by understanding the underlying mathematics and physics. For example, Einstein ...

At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver Prize, except for one thing: it was an AI system. This was the first time ...

As clean energy grows, so do the limits of how it’s measured. A new Nature Climate Change study warns that rooftop solar’s emissions impact is shrinking as the grid cleans itself.