Learn about tail risk, along with its effect on portfolios, and the importance of guarding against extreme financial events ...

A new breakthrough pushes the limits of randomness, bringing a decades-old mathematical mystery closer to resolution ...

What’s the secret to prompting an AI to solve math problems that have left humans stumped? Tell it to believe in itself ...

The results are amazing: a simple tweak to your warm-up routine improves mile time by two to three percent. That’s the key finding of a new study testing the effect of “combined cognitive and physical ...

I am a professor in mathematics at Simon Fraser University, located in Burnaby Canada, on the unceded traditional territories of the Coast Salish peoples, including the səlilwətaɬ (Tsleil-Waututh), ...

tl;dr: We provably improve GNN expressivity by enhancing message passing with substructure encodings. Our method allows incorporating domain specific prior knowledge and can be used as a drop-in ...

A dropped plate, a smashed sugar cube and a broken drinking glass all seem to follow the same law of physics when it comes to how many fragments of a given size they will shatter into. For several ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2024. Many real-world networks change dynamically but can be notoriously ...

The microbiome represents a complex community of trillions of microorganisms residing in various body parts and plays critical roles in maintaining host health and wellbeing. Understanding the ...

Google’s June 2025 Core Update just finished. What’s notable is that while some say it was a big update, it didn’t feel disruptive, indicating that the changes may have been more subtle than game ...

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...