1. Differential geometry, global analysis, and topology
    - Differential Geometry: B. Smith, FU

2. Algebra and number theory, algebraic and arithmetic geometry
    - Algebraic Geometry: A. Schmitt, FU

3. Probability theory and financial mathematics
    - Stochastic processes II: Continous time: J. Blath, TU

4. Discrete mathematics and discrete geometry
    - Combinatorics: S. Felsner , TU

5. Linear, nonlinear, and combinatorial optimization
    - Nonlinear optimization: M. Hintermüller, HU

6. Numerical analysis, scientific computing, and visualization
    - Numerical methods for PDEs: P. Deuflhard, FU

7. Applied analysis, mathematical physics, and dynamical systems
    - Partial Differential Equations: A. Mielke, HU 

* Additional courses:
    - Complex analysis: D. Werner, FU
    - Functional analysis: P. Wittbold, TU