Key Topics Notes Podcast
Review of Homological Algebra PDF
Homological Algebra II: Derived Functors PDF
Easy Introduction to Spectral Sequences PDF
Overview of Serre Spectral Sequence PDF
Gysin Sequence and Hochschild-Serre Spectral Sequence PDF MP3
Steenrod Operations: Axioms and Properties PDF MP3
Construction of the Squares PDF MP3
Cohomology of Eilenberg-MacLane Spaces at 2 PDF MP3
Massey Products and the Steenrod Algebra PDF MP3
Postnikov Towers PDF MP3
Nitty-Gritty of Spectral Sequences: Exact Couples MP3
Bockstein Spectral Sequences PDF
Adams Filtration and the Adams Spectral Sequence PDF
Warm-Up for the Adams Spectral Sequence: ko-Homology PDF MP3
More Ext & Adams Differentials PDF MP3
Hopf Invariant 1 Problem PDF MP3
"User Generated Computations" PDF
Eilenberg-Moore Spectral Sequences MP3
Computations with the EMSS MP3
Geometry and the EMSS MP3
Guest Lecture: Nick Kuhn PDF


Assignments from class

Description File
Ext and Tor Problems PDF
Practice with the Serre Spectral Sequence PDF
Steenrod Squares PDF
Postnikov Towers & Homotopy PDF
Adams Spectral Sequence I PDF
Adams Spectral Sequence II PDF


Serre Spectral Sequence for Loops S^3 The Serre Spectral Sequence for the based loopspace of $S^3$.
Serre Spectral Sequence for U(3) The Serre Spectral Sequence for $U(3)$. Circled classes are algebra generators.
Serre Spectral Sequence for V2R5 The Serre Spectral Sequence for 2-frames in $\mathbb R^5$. The drawn differential is multiplication by 2.
Serre Spectral Sequence for V2R6 The Serre Spectral Sequence for 2-frames in $\mathbb R^6$.

These are all made using Tilman Bauer's SSEQ package for LaTeX.