The third Japanese-Australian Workshop on Real & Complex Singularities (JARCS III) was held at the University of Sydney, Australia, during the period 15–18 September 2009. There were 33 participants, mostly from Japan and Australia. The workshop covered a variety of topics in singularity theory and brought together experts, early career researchers, and doctoral students from Australia, France and Japan. This volume contains research papers in real and complex singularities, algebraic geometry and three introductory Lectures on Ominimal structures. It is our hope that this volume reﬂects the lively research atmosphere of this conference.
Each article in this volume has been peer refereed. We wish to express our appreciation to the authors who have contributed to this volume and the referees for their cooperation. The meeting was sponsored by the School of Mathematics and Statistics of the University of Sydney, and the National Research Symposium Program of the Centre for Mathematics and its Applications of the ANU whose support is gratefully acknowledged.