Homological algebra studies algebraic structures by probing them with chain complexes and derived functors, revealing hidden layers of relationships among objects such as modules over rings.

Category theory, algebraic K-theory and homological algebra form three pillars of modern abstract mathematics. Category theory provides a unifying language for diverse structures by focusing on ...

The general goal of the project is to study the homological algebra of stable infinity-categories and Poincaré infinity-categories. This is done through the theory of non-commutative motives and ...