1. Differential geometry, global analysis, and topology
    - Analysis and geometry on manifolds: D. Schüth, HU

2. Algebra and number theory, algebraic and arithmetic geometry
    - Commutative algebra: J. Kramer, HU

3. Probability theory and financial mathematics
    - Stochastic processes I: Discrete time: U. Küchler, HU  

4. Discrete mathematics and discrete geometry
    - Geometry: B. Springborn, TU

5. Linear, nonlinear, and combinatorial optimization
    - Linear and integer programming: M. Skutella, TU

6. Numerical analysis, scientific computing, and visualization

    - Numerical methods for ODEs and numerical linear algebra: R. Kornhuber, FU

7. Applied analysis, mathematical physics, and dynamical systems
    - Partial differential equations: K. Ecker, FU

* Additional courses:
    - Complex analysis: W. Gubler, HU
    - Functional analysis: J. Sprekels, HU
    - Topology: G. M. Ziegler, TU
    - Differential geometry I: Konrad Polthier, FU