Category theory, K theory and homological algebra are interrelated branches of mathematics that comprise a powerful conceptual framework for studying structures and their interconnections. Category ...

There is no shortage of popular books and lectures on math—but they can only teach us so much. Mathematics has long been presented as a sanctuary from confusion and doubt, a place to go in search of ...

The human ecosystem is made of open and closed systems. While the earth is a closed system for matter but an open system for energy, the human body is considered an open system. There is a growing ...

As a child, what did you want to do when you grew up? I wanted to be a mathematician, a pianist, a pastry chef, a newsreader, a Blue Peter presenter, be on a TV cooking show, be in a shampoo advert. I ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians. One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook ...

A physicist named Nicolas Gisin from the University of Geneva recently published a series of papers that could change our entire view on the concept of “time.” Gisin’s work attempts to reconcile ...