Mathematics

• Gluing manifolds along boundaries
• μ-filtrations
• How to teach cohomology to kiddies
• Linear algebra through pictures
• How to sheafify in one go
• Eliminating aperiodicity in tilings
• Maxwell's equations
• Tate's thesis 2: global zeta functions
• Tate's thesis 1: local zeta functions
• Dwyer–Kan localization
• Faisceaux Algébriques Cohérents 5 – Serre duality
• Faisceaux Algébriques Cohérents 4 – Coherent sheaves
• Faisceaux Algébriques Cohérents 3 – coherent sheaves on projective space
• Faisceaux Algébriques Cohérents 2 – Čech cohomology
• Faisceaux Algébriques Cohérents 1 – sheaf cohomology
• Witt vectors
• Torus actions on symplectic manifolds I
• The CGWH category
• A Ramsey game
• What on earth is... topological K-theory?
• Squares on curves
• The Lefschetz fixed-point formula
• The Banach–Tarski paradox
• Base-free interpretation of the fundamental group via groupoids