Ebook: Geometry of Riemann surfaces and their moduli spaces

---

Table of Contents Divisors in the moduli spaces of curves Stability phenomena in the topology of moduli spaces Birational aspects of the geometry of Mg The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces Brill-Noether theory GL plus 2R-orbit closures via topological splittings Harmonic mappings and moduli spaces of Riemann surfaces Algebraic structures on the topology of moduli spaces of curves and maps Recent development on the geometry of the Teichmueller and moduli spaces of Riemann surfaces The universal properties of Teichmueller spaces Geometry of Teichmueller space with the Teichmueller metric GIT constructions of moduli spaces of stable curves and maps Riemann surfaces, integrable hierarchies, and singularity theory