\BOOKMARK [1][-]{section.1}{1. Foundational and prerequisites}{}
\BOOKMARK [2][-]{subsection.1.1}{1.1. Set Theory}{section.1}
\BOOKMARK [2][-]{subsection.1.2}{1.2. Categories}{section.1}
\BOOKMARK [2][-]{subsection.1.3}{1.3. Sites and Topoi}{section.1}
\BOOKMARK [2][-]{subsection.1.4}{1.4. Stacks}{section.1}
\BOOKMARK [2][-]{subsection.1.5}{1.5. Algebra}{section.1}
\BOOKMARK [2][-]{subsection.1.6}{1.6. Schemes}{section.1}
\BOOKMARK [2][-]{subsection.1.7}{1.7. Cohomology of schemes}{section.1}
\BOOKMARK [2][-]{subsection.1.8}{1.8. Deformation theory a la Schlessinger}{section.1}
\BOOKMARK [1][-]{section.2}{2. Algebraic Stacks, algebraic spaces and schemes}{}
\BOOKMARK [2][-]{subsection.2.1}{2.1. Definition of schemes}{section.2}
\BOOKMARK [2][-]{subsection.2.2}{2.2. Definition of algebraic spaces}{section.2}
\BOOKMARK [2][-]{subsection.2.3}{2.3. Definition of algebraic stacks}{section.2}
\BOOKMARK [2][-]{subsection.2.4}{2.4. Examples of schemes, algebraic spaces, algebraic stacks}{section.2}
\BOOKMARK [2][-]{subsection.2.5}{2.5. Properties of algebraic stacks}{section.2}
\BOOKMARK [2][-]{subsection.2.6}{2.6. Lisse etale site of an algebraic stack}{section.2}
\BOOKMARK [2][-]{subsection.2.7}{2.7. Things you always wanted to know but were afraid to ask}{section.2}
\BOOKMARK [2][-]{subsection.2.8}{2.8. Quasi-coherent sheaves on stacks}{section.2}
\BOOKMARK [1][-]{section.3}{3. Fundamental results}{}
\BOOKMARK [2][-]{subsection.3.1}{3.1. Flat and smooth}{section.3}
\BOOKMARK [2][-]{subsection.3.2}{3.2. Artin's representability theorem}{section.3}
\BOOKMARK [2][-]{subsection.3.3}{3.3. DM stacks are finitely covered by schemes}{section.3}
\BOOKMARK [2][-]{subsection.3.4}{3.4. Martin Olson's paper on properness}{section.3}
\BOOKMARK [2][-]{subsection.3.5}{3.5. Proper pushforward of coherent sheaves}{section.3}
\BOOKMARK [2][-]{subsection.3.6}{3.6. Keel and Mori}{section.3}
\BOOKMARK [2][-]{subsection.3.7}{3.7. Add more here}{section.3}
\BOOKMARK [1][-]{section*.1}{References}{}
