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 equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

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 ...

If the World Science Festival’s panel on string theory tackled the question of whether the math behind it could be a reliable guide to reality, its panel on the Limits of Understanding seemed to ...