Research
Primary research groups
- Algebra and Number Theory
 - Analysis and Differential Geometry
 - Applied Mathematics
 - Discrete Mathematics
 - Mathematical Statistics and Stochastic Processes
 
Further research groups
Clusters of Excellence, Research Training Groups
 and Collaborative Research Centres
- Exzellenzcluster Quantum Universe
 - Excellenzcluster Climate, Climatic Change, and Society (CLICCS)
 - Collaborative Research Center 1624 "Higher Structures, Moduli Spaces and Integrability"
 - Data Science in Hamburg: Helmholtz Graduate School for the Structure of Matter (DASHH)
 - Research Training Group 2583 "Modeling, simulation and optimization with fluid dynamic applications"
 - Collaborative Research Center TRR 181 "Energy Transfers in Atmosphere and Ocean"
 
Interdisciplinary Work Groups and Centres
- Lothar Collatz Center for Computing in Science
 - Mathematisches Seminar
 - Center for Mathematical Physics
 - Emmy-Noether group on String Mathematics