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.

Homological algebra provides a powerful framework to analyse algebraic structures by utilising complex constructions and derived functors. At its core, this discipline investigates chain complexes, ...

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 ...

Algebraic geometry; commutative algebra; homological algebra; algebraic K-theory. My research has been mainly in algebraic geometry, with an abiding interest in the study of algebraic cycles, ...