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 ...

Emily Riehl's area of study, category theory, is said to be "taking the mathematical field by storm," in the words of her colleagues. But it's not the popularity of the approach that attracted her to ...

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 ...

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 ...