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 ...

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 ...

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 ...

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 ...

With Category Theory, Math Escapes From Equality | RealClearScienceThe equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things ...

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 ...

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, ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...