This is the proceedings of the conference 'Higher dimensional algebraic geometry — in honour of Professor Yujiro Kawamata's sixtieth birthday'. This volume consists of 20 inspiring research papers on birational algebraic geometry, minimal model program, derived algebraic geometry, classification of algebraic varieties, transcendental methods and so on, by very active top level of mathematicians all over the worlds. We believe that this volume will be useful for researchers in these area as well as those who are studying algebraic geometry.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America