1. Differential geometry, global analysis, and topology

- Analysis and Geometry on manifolds: Jochen Brüning, HU
- Analysis and Geometry on manifolds: John M. Sullivan, TU

2. Algebra and number theory, algebraic and arithmetic geometry
- Commutative Algebra: Klaus Altmann, FU
 
3. Probability theory and financial mathematics
- Stochastic processes I: Discrete time: Jean-Dominique Deuschel

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

5. Linear, nonlinear, and combinatorial optimization
- Linear and integer programming: Rolf Möhring , TU

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

7. Applied analysis, mathematical physics, and dynamical systems
- Partial Differential Equations: Bernold Fiedler, FU

* Additional courses:
- Functional analysis: Eberhard Kirchberg, HU
- TopologyJohn M. Sullivan, TU