Benson Farb, University of Chicago, IL, USARichard Hain, Duke University, Durham, NC, USAEduard Looijenga, Universiteit Utrecht, Netherlands, and Tsinghua University, Beijing, China

• Introduction by B. Farb, R. Hain, and E. Looijenga A brief introduction to mapping class groups by Y. N. Minsky Teichmuller theory by U. Hamenstadt The Mumford conjecture, Madsen-Weiss and homological stability for mapping class groups of surfaces by N. Wahl Lectures on the Madsen-Weiss theorem by S. Galatius The Torelli group and congruence subgroups of the mapping class group by A. Putman Tautological algebras of moduli spaces of curves by C. Faber Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers by S. A. Wolpert Teichmuller curves, mainly from the viewpoint of algebraic geometry by M. Moller Introduction to arithmetic mapping class groups by M. Matsumoto

Benson Farb, University of Chicago, IL, USARichard Hain, Duke University, Durham, NC, USAEduard Looijenga, Universiteit Utrecht, Netherlands, and Tsinghua University, Beijing, China

• Introduction by B. Farb, R. Hain, and E. Looijenga A brief introduction to mapping class groups by Y. N. Minsky Teichmuller theory by U. Hamenstadt The Mumford conjecture, Madsen-Weiss and homological stability for mapping class groups of surfaces by N. Wahl Lectures on the Madsen-Weiss theorem by S. Galatius The Torelli group and congruence subgroups of the mapping class group by A. Putman Tautological algebras of moduli spaces of curves by C. Faber Mirzakhani's volume recursion and approach for the Witten-Kontsevich theorem on moduli tautological intersection numbers by S. A. Wolpert Teichmuller curves, mainly from the viewpoint of algebraic geometry by M. Moller Introduction to arithmetic mapping class groups by M. Matsumoto