1. Differential geometry, global analysis, and topology
    - Analysis and geometry on manifolds: K. Mohnke, HU

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

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

4. Discrete mathematics and discrete geometry
    - Geometry: A. Bobenko, TU

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

6. Numerical analysis, scientific computing, and visualization
    - methods for ODEs and numerical linear algebra: R. Klein, FU

7. Applied analysis, mathematical physics, and dynamical systems
    - Partial differential equations: J. Naumann, HU

* Additional courses
    - Complex analysis: J. Leiterer, HU
    - Topology: J. M. Sullivan, TU