Since the publication of the Agile Manifesto at the beginning of the 2000s, the influence of agile methods in the scientific literature of software development and the industry has grown in a considerable manner. Considering the importance of these approaches in software engineering, the purpose of this work is to provide a bibliometric analysis of the publications on agile methods in Web of Science since the beginning of the millennium. In order to accomplish this, several analyses are performed on the co-citation networks of documents and keyword. In particular, this article provides a list of emerging topics and trends using burst analysis and a list of relevant works in the field of agile software development. These results provide a high-level overview of the main topics in current agile software development research.