--- created: 2024-05-04T13:42 updated: 2024-05-15T17:53 --- 1. Basics 1. Lattices 2. Coxeter Groups 3. Hyperbolic geometry 4. Tilings 5. Singularities 6. Vinberg diagrams 7. Hermitian symmetric domains 2. Compactifications 1. Moduli stacks, fine spaces, coarse spaces 2. Baily-Borel 1. Cusp diagrams 3. Toroidal 4. Semitoroidal 5. Stable pair 1. Log CY pairs 6. GIT 3. Integral Affine Geometry 4. K3 Surfaces 1. History 2. Literature review of compactifications 3. Kulikov models 5. Enriques Surfaces 1. History 2. Enriques' construction 3. Horikawa's model 4. Previous work 5. New results 6. Coble Surfaces 1. Previous work 2. New results