1. Differential geometry, global analysis, and topology
    - Surface theory K. Mohnke, HU

2. Algebra and number theory, algebraic and arithmetic geometry
    - Algebraic geometry: K. Altmann, FU

3. Probability theory and financial mathematics
    - Stochastic processes II: Continuous time: A. Bovier, TU

4. Discrete mathematics and discrete geometry
    - Combinatorics: G. M. Ziegler, TU

5. Linear, nonlinear, and combinatorial optimization
    - Nonlinear optimization: B. Kummer, HU

6. Numerical analysis, scientific computing, and visualization
    - Numerical methods for PDEs: R. Klein, FU

7. Applied analysis, mathematical physics, and dynamical systems

    - Dynamical systems: B. Fiedler, FU

* Additional courses:
    - Functional analysis: H. Winkler, TU