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.
Currently there are 31 PhD students (find a list here) in the Graduate School.
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
In Kaiserslautern, lectures about the first four subject areas are offered regularly.
Additionally, the University of Saarbrücken offers lectures about the last four subject areas on a regular basis.
One example for an introductory lecture accessible for students from both universities is the lecture on „Free Probability Theory“ by Prof. Roland Speicher (University of Saarbücken) which has been recorded on video and can be viewed online.
These are seminars of the various research groups, on specific topics of common interest. Topics seminars are mostly of a local nature at one of the locations; but with the intention to build connections between different research groups. All doctoral students are invited to join, however, and travel expenses will be supported by the SFB.
Current Topics Seminars
- TRR195 – Seminar winter term 2018/2019: Algorithms, Tuesdays, 15:30-17:00 in 48-436, Kaiserslautern
- TRR195 – Seminar summer term 2018: Algorithms, Tuesdays, 15:30-17:00 in 48-436, Kaiserslautern
- TRR195 – Seminar winter term 2017/2018: Algorithms: Tuesdays, 15:30-17:00 in 48-436, Kaiserslautern
This is a joint seminar for all students from Aachen, Saarbrücken and Kaiserslautern; but participation of other members is also encouraged. This semester we meet weekly via a web conference systeme. The first aim is to learn to know everyone in the second funding period.
Current IRTG Seminar
- Summer Term 2021: Schedule/Websystem Link
- Summer Term 2020: Schedule
- Winter Term 2020: Schedule
- Summer Term 2019: Schedule
- Winter Term 2018/2019: Schedule
- Summer Term 2018: Schedule
- Winter Term 2017/2018: Schedule
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 BlockS Seminar 2021
Joint Block Seminar 2020 postponed due to Corona pandemic
Joint Block Seminar 2019
Joint Block Seminars 2018
From time to time, we offer soft skill trainings for our PhD students to prepare them for their scientific work and career advancement.
- Effective English Scientific Presentation: Course of choice (Michelle Gehringer)
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
- Summer School “Around Moduli Spaces”: September 2nd – September 6th, 2019, Saarbrücken.
- Summer School on “GAP in Algebraic Research”: November 19th – November 22nd, 2018, Aachen, sponsored by DFG Graduiertenkolleg “Experimental and Constructive Algebra”.
- Summer School on “Topological Recursion”: August 27th – August 31st, 2018, Tübingen Here are some impressions
- Tutorial Computer Algebra Systems: November 28 – November 30, 2017, Saarbrücken
- Joint Summer School of TRR 195 with the Research Training Group “Experimental and constructive algebra” (Aachen)
on Permutation Groups, 18th – 22nd September, 2017, Marienheide
- Summer School on “Mathematical Aspects of Quantum Information“, 4th – 8th September, 2017, Corsica
- Summer School on Finite Groups and Related Geometrical Structures, August 28th – September 8th, 2017, Toblach/Dobbiaco (Italy)
- Stockholm Master Class in Tropical Geometry, 14th – 27th August, 2017, Stockholm
- Algebraic and Combinatorial Methods in Stochastic Calculus, 17th – 21st July, 2017, Santander