- Algebraic K-theory. Classical calculations related to zeta
functions and etale cohomology, and applications to Algebraic Geometry.
See my
virtual book for more details.
- Motivic Cohomology. Applications to K-theory and Algebraic Geometry.
For an introduction to this subject, see my book with Mazza and Voevodsky,
Lectures on Motivic Cohomology (Clay Math Monographs 2, 2006.
- Cyclic Homology. Kahler differentials on singular varieties,
applications to K-theory.
- Algebraic Geometry: Calculations of Chow groups of singular varieties.
- Homological Algebra. See my book "An introduction to Homological
Algebra" (Cambridge U. Press, 1994)