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- 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
- Nonsmooth Variational Problems and Operator Equations
- Flexible Research Platform
- Modeling, Analysis, and Scaling Limits for Bulk-Interface Processes
- Data-driven Optimization and Control
- Numerical Methods for Innovative Semiconductor Devices
- Probabilistic Methods for Dynamic Communication Networks
- Quantitative Analysis of Stochastic and Rough Systems
- Simulation of Semiconductor Devices for Quantum Technologies
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