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 ...

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 ...