Topology
- Reminder notes on the classification of surfaces
(dvi)
(pdf)
- An outline summary of basic point set topology
(dvi)
(pdf)
- Compactly generated spaces, by Gaunce Lewis
(pdf)
- Finite topological spaces
(dvi)
(pdf)
- Finite spaces and simplicial complexes
(dvi)
(pdf)
- Finite groups and finite spaces
(dvi)
(pdf)
- A quick proof of the model axioms for Top
(dvi)
(pdf)
- Hardy Lecture notes on THH and TC
(pdf)
Algebra
- Some algebraic definitions and constructions (Nullstellensatz)
(dvi)
(pdf)
- Reminder notes on local rings
(dvi)
(pdf)
- Notes on Dedekind rings
(dvi)
(pdf)
- Notes on Cohen Macauley and regular local rings
(dvi)
(pdf)
- Categorical Grothendieck rings and Picard groups
(dvi)
(pdf)
- Limits and colimits
(dvi)
(pdf)
- Symmetric monoidal categories and enriched categories
(dvi)
(pdf)
- Notes on filtrations, topologies, and completions
(dvi)
(pdf)
- Notes on Tor and Ext
(dvi)
(pdf)
- Derived categories from a topological point of view
(dvi)
(pdf)
- The axioms for triangulated categories
(dvi)
(pdf)
- A short note on quasi-Frobenius rings
(dvi)
(pdf)
Miscellaneous
Towards understanding motivic cochains (December, 2003)
- Operads and sheaf cohomology
(pdf)
- Caterads and algebras over caterads
(pdf)
- (with B. Guillou) Caterads and motivic cohomology
(pdf)