Topics in Algebraic Geometry: Boundedness of Varieties

In the last a few decades, results on boundedness plays a central role in the progress of higher dimensional geometry. This course aims to give a comprehensive treatment of the topic. We cover results on the Fujita Conjecture, uniform bounds on birational maps for general type varieties, boundedness of log general type pairs/ACC Conjecture, and boundedness of complements/BAB Conjecture etc.