Graduate Programme



The Integrated Research Training Group (IRTG) provides optimal working conditions and a structured early-career support for the PhD students who are involved in TRR 195. It offers a visible way of supporting the scientific independence and further qualifications of doctoral researchers. The programme of the IRTG is also open to other students at the participating locations working in subjects related to TRR 195, independent of their source of funding.

The thematic focus of the IRTG is determined by the scientific content of TRR 195. On a regular basis, introductory lectures into the
mathematical core areas of TRR 195 are offered, with a particular emphasis on computational aspects in these areas. Further breadth as well as depth of the education is achieved by more advanced topics lectures, regular topics seminars, joint block seminars, the IRTG seminar and by master classes and summer schools.

The aim of the qualification programme is to provide first class and research oriented education and to prepare the doctoral students for their further careers, both within and outside of academia. While working on an attractive mix of theoretical and computational approaches to cutting edge mathematical research problems, the students acquire a mathematical multidisciplinary knowledge as well as competence in problem solving — which qualifies them for both career paths, in academics and in industry.

The guiding principle is that the students are part of a greater scientific family where they not only get to know their parents but also, on a somewhat lesser level, their more distant relatives. This means that both – depth and breadth in mathematical education – are valued and we expect that after the completion of their degree our students are not only experts in their special subject, but have also acquired a broader knowledge, at least on a basic level, in several of the topics represented in TRR 195.

The speaker sof the IRTG are Prof. Dr. Gabriele Nebe and Prof. Dr. Roland Speicher. Feel free to contact him for all organisational matters and any questions concerning the program.

Currently there are 37 PhD students (find a list here)  in the Graduate School.
Access to the internal page for all members of the Graduate School can be found here.

Introductory and more advanced topic lectures

Introductory lectures are part of the regular study program at the TU Kaiserslautern and the University of Saarbücken. They are offered on a regular basis and open for both Master’s students and Ph.D. students.

The more advanced topic lectures are structured to convey a broader and deeper knowledge of the scientific content of the SFB-TRR 195.

All lectures focus on the five mathematical core areas of the SFB-TRR 195:

  • Group and Representation Theory
  • Algebraic Geometry, Commutative and Noncommunitative Algebra
  • Tropical and Polyhedral Geometry
  • Number Theory
  • Free Probability and Random Matrix Theory

IRTG Seminar

This is a joint seminar for all students from Aachen, Saarbrücken and Kaiserslautern; but participation of other members is also encouraged. During Corona we have met weekly via a web conference systeme. At the moment we switched back to two or three appointments at the main locations with additional online access.

Current IRTG Seminar

Addinally there will be an IRTG Seminar Block meeting with longer talks on the research projects from February 28 – March 3, 2023, Ebernburg, Bad Münster am Stein.

Joint Block Seminar

The extension of the idea of topics seminars to a transregional level is achieved by joint block seminars, which run for a few days at one of the locations of the TRR 195 or at some central place. We organize joint block seminars twice a year. The size and the level of these seminars can vary, but they involve graduate students from at least two different locations; the participants give short talks based on the literature recommended by the organizers. The planning of the joint block seminars is by mostly done by the graduate students.

Joint Block Seminar 2024

Joint Block Seminar 2023

Joint Block Seminar 2022

Joint Block Seminar 2021

Joint Block Seminar 2020 postponed due to Corona pandemic

Joint Block Seminar 2019

Joint Block Seminars 2018

Soft-Skill Courses

From time to time, we offer soft skill trainings for our PhD students to prepare them for their scientific work and career advancement.

Summer Schools and Master Classes of the IRTG

We organize summer schools by experts (who are not restricted to the TRR 195) on special topics related to the projects of the TRR 195 which take place annually. On these occasion, our students are encouraged to take the lead in the organisation of these events. The summer schools are open for graduate and postgraduate researchers not restricted to the IRTG.

Past relevant International Summer Schools and Master Classes