This book presents the organisational maturity of research management at a university in the city of Bogot, Colombia, through some of the components of the CPMMV5, CMMI and PMBOKv5 models of the Project Management Institute (PMI). With the participation of management, administrators (managers of processes), teachers and students of the university utilise the maturity box organised via the evaluation instruments (questionnaires) applied to these estates with their respective knowledge base across the DOFA matrix. In addition, some of the university's own practices were created to support the good practices already presented in the PMBOK guide. The results obtained are a part of the progress concerning the first stage of the GEINVE v2.0 project, which is aimed at achieving the design and construction of a comprehensive model for investigative management at the Colombian university. In this first stage, the theme is presented in four chapters from the authors research focus on the epistemology of the project, its methodology, results and final discussions. In the last chapter, the authors make some recommendations for an improvement plan directed towards the university and focused on the mission units to the strategic units of the university. In the end, the conclusions and bibliographical references are presented, which support some positions of authors and studies taken as a basis for the development of the project.