Mathematics

Four women and four men successfully applied for Starting Grants from the Swiss National Science Foundation via ETH Zurich.

The coloured Cube has been around for 50 years. Its inventor, Ernő Rubik, celebrated his 80th birthday this year. At the invitation of the ETH Department of Mathematics, he spent some time in Zurich to discuss the fascination of the Rubik’s Cube with researchers, students and children.

Researchers have found that AI large language models, like GPT-4, are better at predicting what comes next than what came before in a sentence. This “Arrow of Time” effect could reshape our understanding of the structure of natural language, and the way these models understand it.

When the Earth’s ice masses melt, the way the planet rotates also changes. Researchers at ETH Zurich have now been able to show how climate change is altering the Earth’s axis of rotation and the length of the day. The speed of rotation, which was hitherto mainly influenced by the moon, will now also depend much more on the climate.

Rasmus Kyng has written the near-perfect algorithm. It computes the maximum transport flow at minimum cost for any kind of network – be it rail, road or electricity – at a speed that is, mathematically speaking, impossible to beat.