October 2025

Halloween 4: The Return of Adams Spectral Sequence

How does the Adams spectral sequence help us compute the stable homotopy groups of spheres?

October 2025

Spectral Sequences: Episode III – Revenge of the Serre

How do spectral sequences help us compute the (co)homology of spaces?

October 2025

Steenrod Squares 2: Electric Boogaloo

How can we detect obstructions in continuous maps that ordinary cohomology can't see?

September 2025

Cohomology Rings or: How I Learned to Stop Worrying and Love the Cup Product

How can we use cohomology to distinguish between spaces where homology fails?