Analog and mixed-signal integrated circuits play an important role in many modern emerging system-on-chip (SoC) design applications. With the expansion of the markets of those applications, the demands of analog/mixed-signal ICs have been dramatically increased. Although analog/mixed-signal ICs have gained more and more importance and demands in modern SoC applications, the development of analog electronic design automation (EDA) tools is still farther behind that of digital EDA tools. As a result, analog/mixed-signal IC design, especially the analog layout design, is still a manual, time-consuming, and error-prone task. In order to speed up modern SoC design for large varieties of emerging applications, it is desirable to develop novel analog/mixed-signal IC deign methodologies and algorithms, as well as new analog EDA tools. The purpose of this paper is to summarize recent research progress during the past decade, address new analog layout design challenges in advanced technology nodes, and facilitate more research activities in analog layout synthesis.