Zhiren Wang

This book provides a detailed account of the groundbreaking theory established by the author on lattice subgroups of higher-rank semisimple Lie groups, notably the arithmeticity and superrigidty theorems. The methods in the book surprisingly employ techniques from ergodic theory to obtain arithmetic properties in a group theoretical setting. The results from this book marked the beginning of a new research direction that has been highly active for the past three decades.