Dieudonné's 5 year 'How to be a Mathematician, not a mathematician' plan (published as "A Letter from
Dieudonne")
>1st year (Elementary algebraic geometry)
Borel and Bass - Linear algebraic groups (first part)
Cartan-Chevalley Seminar 1955
Chevalley Seminar 1956 'Classification des groups algébriques'
Mumford - Introduction to algebraic geometry (chapter 1)
Semple and Roth's - Algebraic geometry
Serre - Faisceaux algébriques cohérents (cohomology parts)
Serre - Géométrie Algébrique et Géométrie Analytique
van der Waerden - Algebraische Geometrie
>2nd year
Borel and Bass - Linear algebraic groups (the rest)
Borel-Tits - Groupes réductifs
Serre - Groupes algébriques et corps de classes
>3rd year
Borel-Harishchandra - Arithmetic subgroups of algebraic groups
Borel - Introduction aux groupes arithmétiques
Weil - Adeles and algebraic groups
Seminaire Borel-Serre - Complex multiplication notes
>4th year
Mumford - Introduction to algebraic geometry (chapters 2-3)
Read Elements de géométrie algébrique until Mumford's 'Abelian varieties' makes sense
Mumford - Geometric invariant theory
Serre - Algèbre locale
Samuel Ergebnisse - Méthodes d'algèbre abstraite en géométrie algébrique
>5th year
Abelian varieties over finite fields, formal groups
Automorphic funtions, modular functions
Jacquet-Langlands theory
Algebraic geometry of surfaces
Advances theory of schemes (Grothendieck topologies, étale cohomology...)
