Moritz Weber

Saarland University
Faculty of Mathematics
Postbox 151150
D-66041 Saarbruecken

room 310, building E 2 4
phone:   +49-681-302-2556
mail:   weber [at]
office hours:   by arrangement
Secretary: Laura Alin Schmigiel
room 108, phone +49-681-302-4432

Supported by:

Research interest

My research is on compact quantum groups. I am working at the intersection of analysis, algebra and combinatorics, with links to free probability. Amongst others, I am primarily interested in symmetry structures within any framework, in particular a noncommutative one, i.e. structures involving noncommutative algebras arising in the context of operators on Hilbert spaces, matrices in linear algebra or observables in quantum physics, just to name a few. I am investigating compact quantum groups from different perspectives, using various methods interfering with many other areas of mathematics such as:

  • Functional analysis: (universal) C*-algebras, von Neumann algebras, K-Theory
  • Algebra: Hopf algebras, automorphisms of graphs, computer algebra
  • Combinatorics: partitions of sets, finite graphs, counting problems
  • Topology, cohomology: noncommutative topology (C*-algebras), K-Theory, (Hochschild) cohomology
  • Quantum symmetries: "easy" quantum groups, noncommutative harmonic analysis, quantum automorphisms of graphs
  • Geometry: noncommutative geometry, notions of symmetry, deformation/quantization
  • Tensor categories: representation theory of quantum groups, Schur-Weyl results
  • Quantum information theory: graph isomorphism games, construction of highly entangled quantum states
  • Stochastical methods: distributional symmetries, free probability, Lévy processes

My main expertise is around "easy" quantum groups and the strategy to express analytic, algebraic or representation theoretical properties by purely combinatorial means.

What actually is Quantum Symmetry (Oberwolfach Snapshot)?

Running third party funding
Distinctions and awards
Member (PI) of the SFB-TRR 195

Since 1 January 2017, I am one of the PI's of the SFB-TRR 195 Symbolic Tools in Mathematics and their Applications (RWTH Aachen, TU Kaiserslautern, Saarland University, and others), funded by the DFG (German Research Foundation).
My project in the first phase (2017-2020) was: I.13 - Computational classification of orthogonal quantum groups.
My project in the second phase (2021-2024) is: A25 - Quantum symmetries and quantum isomorphisms of graphs

Editor of Analysis Mathematica

Since January 2019, I am an editor of Analysis Mathematica for the area functional analysis, operator algebras and quantum groups. Submissions welcome!

Alternative journals with editors coming from operator algebras may be found on a list by Hannes Thiel.

Audit chair responsibilities

Postal address

Saarland University
Department of Mathematics
Postfach 15 11 50
66041 Saarbrücken

Physical address

Saarland University
Campus building E 2 4
66123 Saarbrücken