\begin{equation*}
\DeclareMathOperator\Coim{Coim}
\DeclareMathOperator\Coker{Coker}
\DeclareMathOperator\Ext{Ext}
\DeclareMathOperator\Hom{Hom}
\DeclareMathOperator\Im{Im}
\DeclareMathOperator\Ker{Ker}
\DeclareMathOperator\Mor{Mor}
\DeclareMathOperator\Ob{Ob}
\DeclareMathOperator\Sh{Sh}
\DeclareMathOperator\SheafExt{\mathcal{E}\mathit{xt}}
\DeclareMathOperator\SheafHom{\mathcal{H}\mathit{om}}
\DeclareMathOperator\Spec{Spec}
\newcommand\colim{\mathop{\mathrm{colim}}\nolimits}
\newcommand\lim{\mathop{\mathrm{lim}}\nolimits}
\newcommand\Qcoh{\mathit{Qcoh}}
\newcommand\Sch{\mathit{Sch}}
\newcommand\QCohstack{\mathcal{QC}\!\mathit{oh}}
\newcommand\Cohstack{\mathcal{C}\!\mathit{oh}}
\newcommand\Spacesstack{\mathcal{S}\!\mathit{paces}}
\newcommand\Quotfunctor{\mathrm{Quot}}
\newcommand\Hilbfunctor{\mathrm{Hilb}}
\newcommand\Curvesstack{\mathcal{C}\!\mathit{urves}}
\newcommand\Polarizedstack{\mathcal{P}\!\mathit{olarized}}
\newcommand\Complexesstack{\mathcal{C}\!\mathit{omplexes}}
\newcommand\Pic{\mathop{\mathrm{Pic}}\nolimits}
\newcommand\Picardstack{\mathcal{P}\!\mathit{ic}}
\newcommand\Picardfunctor{\mathrm{Pic}}
\newcommand\Deformationcategory{\mathcal{D}\!\mathit{ef}}
\end{equation*}
8 Topics in Moduli Theory
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Chapter 100: Moduli Stacks
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Section 100.1: Introduction
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Section 100.2: Conventions and abuse of language
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Section 100.3: Properties of Hom and Isom
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Section 100.4: Properties of the stack of coherent sheaves
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Section 100.5: Properties of Quot
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Section 100.6: Boundedness for Quot
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Section 100.7: Properties of the Hilbert functor
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Section 100.8: Properties of the Picard stack
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Section 100.9: Properties of the Picard functor
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Section 100.10: Properties of relative morphisms
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Section 100.11: Properties of the stack of polarized proper schemes
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Section 100.12: Properties of moduli of complexes on a proper morphism
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Chapter 101: Moduli of Curves
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Section 101.1: Introduction
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Section 101.2: Conventions and abuse of language
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Section 101.3: The stack of curves
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Section 101.4: The stack of polarized curves
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Section 101.5: Properties of the stack of curves
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Section 101.6: Open substacks of the stack of curves
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Section 101.7: Curves with finite reduced automorphism groups
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Section 101.8: Cohen-Macaulay curves
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Section 101.9: Curves of a given genus
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Section 101.10: Geometrically reduced curves
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Section 101.11: Geometrically reduced and connected curves
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Section 101.12: Gorenstein curves
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Section 101.13: Local complete intersection curves
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Section 101.14: Curves with isolated singularities
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Section 101.15: The smooth locus of the stack of curves
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Section 101.16: Smooth curves
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Section 101.17: Density of smooth curves
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Section 101.18: Nodal curves
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Section 101.19: The relative dualizing sheaf
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Section 101.20: Prestable curves
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Section 101.21: Semistable curves
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Section 101.22: Stable curves
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Section 101.23: Contraction morphisms
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Section 101.24: Stable reduction theorem
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Section 101.25: Properties of the stack of stable curves