Moduli Space of Algebraic Curves

I began to study the basic results about the moduli space of curves, aiming to discover the constructions and geometrical properties of moduli stacks and spaces of smooth curves $M_g$ and stable curves $\overline{M}_g$. The detailed information we refer Reading program on moduli space of curves. Here is my notes: Moduli space of algebraic curves, finished at 2023/09/07.