Roland Speicher

Professor Dr.

Michael Hartz

JProfessor Dr.

Moritz Weber

JProfessor Dr.



  • Die online Anmeldung für die Vorlesung "Höhere Mathematik für Ingenieure 1" ist jetzt in Moodle möglich; siehe hier für mehr Informationen.
  • Selfenrolment in Moodle for the class on "Mathematical Aspects of Quantum Mechanics" is now open, see here for more information.
  • Daniel Gromada finished his PhD in September 2020. Congratulations to Daniel!
  • The Lecture Notes on Non-Commutative Distributions (course from summer term 2019) are now online.
  • Michael Hartz has been awarded the Barbara and Jaroslav Zemánek Prize (see announcement  and a personal laudatio in the blog of Orr Shalit). This is given to young researchers for achievements in functional analysis, with special emphasis on operator theory. Congratulations to Michael!
  • Moritz Weber was selected for the Heisenberg programme of the German Research Foundation. His own position will be fully funded from early 2021 for five years. That's a great achievement. Congratulations to Moritz!
Older News
  • Simon Schmidt finished his PhD in July 2020.
  • The talk of Roland Speicher on "Random matrices and their limits" in the Wales MPPM Seminar is now online. May 12, 2020.
  • The videos of the three talks of Roland Speicher in the Distinguished Lecture Series at the Fields Institute are now online.
  • Miguel Pluma and Sheng Yin finished their PhD in January 2020.
  • Stefan Jung finished his PhD in June 2019.

Our guests

Information for our visitors

On this page you will find some information concerning a stay at Saarbrücken, at our research group on Free Probability Theory, Random Matrices, and Quantum Groups. If you have any suggestions or comments about this site, please help us to improve it!

Download the main information of this page (including the campus map) here.


ERC Advanced Grant

From 1 February 2014 until 31 January 2019, the European Research Council supported the research of Roland Speicher by an ERC Advanced Grant with the title Non-Commutative Distributions in Free Probability. More info on this can be found here


Symbolic Tools in Mathematics and their Application

The Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) has established the transregional collaborative research centre (SFB-TRR) 195 “Symbolic Tools in Mathematics and their Application” starting in January 2017.  Host university is the University of Kaiserslautern (TU Kaiserslautern), additional applicant universities are RWTH Aachen University and Saarland University.

What actually is Free Probability?

A motivating example

Consider the following three natural questions from the fields of operator algebras, random matrices, and combinatorics, respectively.

  • What is the distribution of the real part of the one-sided shift with respect to the canonical vacuum expectation state?
  • What is the asymptotic eigenvalue distribution of a Gaussian random matrix in the limit of large matrix size?
  • In how many ways can one connect 2n points on a circle pairwisely by n non-intersecting chords?

Surprisingly, all three questions have essentially the same answer: both question 1 and 2 yield the semicircular distribution, and the answer to question 3 is given by the Catalan numbers which are actually the even moments of the semicircular distribution. This coincidence is not just superficial - a conceptual reason is given by Voiculescu's free probability theory and its basic concept of freeness. [...]

Postal address

Saarland University
Department of Mathematics
Postfach 15 11 50
66041 Saarbrücken



Saarland University
Campus building E 2 4
66123 Saarbrücken