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 ...

He enjoys using tools from homological algebra, like spectral sequences and A-infinity algebras, to study geometric and topological objects, like knots and spaces. He is also interested in theoretical ...