- impossible objects
- a whistle-stop tour of Galois categories
- twin peaks and arithmetic geometry
- an important arithmetic surface
- how to spot a scheme in a crowd of presheaves
- landmarks in the topology lattice
- Notes on the Oxford IUT workshop by Brian Conrad
- category = generalised space
- rational points and relative schemes
- scheme = variety over every ring
- fat points on schemes and the chinese remainder theorem
- visions of schemes
- algebra is the opposite of geometry
- scheme starter pack
- an unusual proof of the infinitude of the primes
- ringed topological spaces
- more freaky stuff which happens with sheaves
- bundling up stalks: sheafification of a presheaf
- cut and paste: sheaves on a space
- hello!