The core of the IRTG study program consists of a lecture curriculum in the first two to three semesters (Introductory Lectures and Topics Lectures). During the second phase of the dissertation period, i.e., the last three to four semesters, the focus of the education will be the fellows' work on their theses. This will be complemented and supported by scientific events at the IRTG of various forms. All in all, the IRTG offers the following courses and seminars:

• Introductory Lectures
  The aim of these lectures is to familiarize the doctoral students with the main research directions of the IRTG. Each of the three core research areas provides one such lecture. The Introductory Lectures are mandatory for all fellows and take into account the inhomogeneity of their scientific interests. These lectures are designed specifically for newcomers to the respective research area and provide them with an overview of the main results, concepts and the vocabulary as well as a general understanding of the topic. Lecture notes will be prepared in order to support the studies of our fellows and to ensure a coherent education over the years. The syllabus of these lectures shall not depend on the lecturer. In this way, the lectures will help the doctoral students to reach a common level of knowledge for communication and to follow all seminars and conference talks related to the IRTG.
• Topics Lectures
  These lectures are designed for all students working in the respective research areas. Other graduate students of the Department of Mathematics are most welcome. The aim of these lectures is to present relevant research results and to provide the doctoral students with mathematical methods needed for their dissertation projects in the respective area. Moreover, they facilitate the possibility of interaction among the students within the respective research area. The Topics Lectures build on the corresponding Introductory Lectures and go much more into detail. The focus of the lectures may depend on the lecturer, a division of a lecture into two parts is possible. Open problems will be included in the lecture. As for the Introductory Lectures there will be one Topics Lecture in each of the three research areas. It is obligatory for the fellows to attend one of these Topics Lectures which is usually the lecture related to their own research area.
• Cluster Groups
  These groups consist of doctoral students with joint scientific interests and/or related doctoral projects. The Cluster Groups are mainly run by the fellows themselves and non-IRTG doctoral students are welcome to join. The aim of Cluster Groups is to discuss research articles/books as well as the progress and mathematical obstacles of the dissertation projects. Responsible researchers join from time to time.
• Topics Seminars
  These are specialized seminars in the respective research areas. There will be talks by scientists, guests and doctoral students about specific research topics and results. Usually these seminars take place regularly in the framework of the working groups.
• IRTG Colloquium
  This is the joint seminar of all IRTG members and guests. It takes place at least once a month. Participation in this seminar is obligatory for all fellows. Talks are given by members or invited speakers. An important requirement for the presentations is that large parts can be followed by the doctoral students on the basis of the Introductory Lectures. Students are encouraged to present the main results of their dissertation in the framework of the IRTG seminar. A list of all talks in the IRTG seminar so far can be found here.
• Scientific block courses
  In addition to the regular lecture and seminar program, visiting researchers will be invited to give courses of 4-6 lectures. Topics shall either be closely related to the research program of the IRTG but also include recent developments in analysis that are not represented in the IRTG. In this way, a thorough and broad scientific education is achieved that supports the doctoral students on their career path. Lecturers are asked to respect the prerequisites provided by the Introductory Lectures.
• General skills training courses
  The university offers a wide range of courses and seminars for general skills training. IRTG students will be encouraged to participate in interesting and suitable activities.