WIAS is organized into seven research groups, a Young Scientists' Group (YSG) and Leibniz Group (LG):
- Partial Differential Equations
- Laser Dynamics
- Numerical Mathematics and Scientific Computing
- Nonlinear Optimization and Inverse Problems
- Interacting Random Systems
- Stochastic Algorithms and Nonparametric Statistics
- Thermodynamic Modeling and Analysis of Phase Transitions
- Modeling of Damage Processes (YSG)
- Mathematical Models for Lithium-Ion Batteries (LG)
- Research is focusing on the main application areas
- Conversion, storage and distribution of energy
- Flow and transport
- Materials modeling
- Nano- and optoelectronics
- Optimization and control in technology and economy
- Quantitative biomedicine
Consulting offers for potential collaboration partners can be found on the institute's web pages. Representatives from industry are welcome to present their problems, e.g., in the Institute’s colloquium.
Together with further partners in Berlin, WIAS is running the DFG Research Center MATHEON. The institute is part of numerous local and international research alliances and organizations such as ERCOM (European Research Centers on Mathematics) and IMSI (International Mathematical Sciences Institutes).
Since 2011, WIAS hosts the Secretariat of the International Mathematical Union (IMU).