Over the past 55 years, the Department of Mathematics at CUHK has trained many students, who have now become world class mathematicians. These include Prof. Shing-Tung Yau and many other outstanding mathematicians all over the world, in many different branches of pure and applied mathematics. The aim of this conference is to bring back all these alumni, together with other established mathematicians from all over the world, not only to present their research work, but also to provide them an opportunity for exchange of ideas and collaboration on problems at the frontier of mathematics and other sciences.