Homological algebra and module theory are branches of mathematics that focus on the study of algebraic structures known as modules, which generalize vector spaces. These fields are particularly ...

Homological algebra and representation theory are two interconnected fields in mathematics that focus on the study of algebraic structures and their relationships. Homological algebra deals with ...

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, ...

presentations); commutative algebra (uniqueness of factorization, Jordan decomposition, Dedekind rings, class groups, local rings, Spec); finite fields; algebraic numbers; Galois theory; Homological ...

Zachary Winkeler does research in low-dimensional topology, specifically knot theory. He enjoys using tools from homological algebra, like spectral sequences and A-infinity algebras, to study ...