If you are a lecturer at FU, HU, TU or U Potsdam and would like to add your course to this list, please email the relevant info to This email address is being protected from spambots. You need JavaScript enabled to view it.

These are the Advanced Courses for the summer semester 2020.

Please note that the complete summer semester 2020 will take place online. The lecturers are organizing online solutions for their courses individually and will publish this info on their own websites or in the universities' course catalogues. We will update this website accordingly with new links if necessary.

1. Differential geometry, global analysis, and mathematical physics
Title: Feynman diagrams and S-Matrix
Lecturer: Kreimer, HU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Singularity theory
Lecturer: Berghoff, HU
Type: Lecture (2h) + tutorial (1h)

Title: Introduction to symplectic field theory
Lecturer: Wendl, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Symplectic geometry
Lecturer: Wendl, Mohnke, HU
Type: Seminar (2h)
See also here.

Title: Introduction to comparison theorems in Riemannian geometry
Lecturer: Güneysu, HU
Type: Seminar (2h)
See also here.

Title: Heat kernels and Brownian motion on manifolds
Lecturer: Güneysu, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Differential geometry III: The symmetries of things
Lecturer: Sullivan, TU
Type: Lecture (4h)
See also here.

2. Algebraic and arithmetic geometry, number theory
Title: Researchmodule: Algebra
Lecturer: Altmann, FU
Type: Seminar (2h)

Title: Arithmetic geometry
Lecturer: Kramer, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Number theory II
Lecturer: Große-Klönne, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Research seminar: Algebraic geometry
Lecturer: Farkas, Klingler, Krämer, HU
Type: Research seminar (2h)
See also here.
Please note that you cannot obtain credits from research seminars.

Title: Research seminar: Arithmetic geometry
Lecturer: Kramer, Krämer, HU
Type: Research seminar (2h)
See also here.
Please note that you cannot obtain credits from research seminars.

Title: Research seminar: Algebraic number theory
Lecturer: Große-Klönne, HU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Geometric Invariant Theory
Lecturer: Bürgisser, TU
Type: Lecture (2h)
See also here.

Title: Numeric linear algebra II
Lecturer: Liesen, TU
Type: Lecture (2h)
See also here.

3. Stochastics and mathematical finance
Title: Stochastic partial differential equations: Classical and new
Lecturer: Perkowski, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Stochastic processes in fluids
Lecturer: Höfling, FU
Type: Lecture (2h) + tutorial (2h)

Title: Non-cooperative game theory
Lecturer: Horst, HU
Type: Lecture (2h) + tutorials (1h)
See also here.

Title: Stochastic filter theory
Lecturer: Stannat, TU
Type: Lecture (2h)

Title: Financial mathematics II
Lecturer: Bank, Belak, TU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Branching processes
Lecturer: Sun, TU
Type: Lecture (2h)

Title: Large Deviations
Lecturer: Renger, TU
Type: Lecture (2h)

Title: Spin Systems and Phase Transitions
Lecturer: Jahnel, Taggi, TU
Type: Lecture (2h) + seminar (2h)

Title: Rough Stochastic Analysis I
Lecturer: Friz, TU
Type: Lecture (2h)

4. Discrete mathematics and optimization
Title: The Probabilistic Method
Lecturer: Szabó, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Integer Programming
Lecturer: Borndörfer, FU
Type: Lecture (2h) + tutorial (2h)

Title: Traffic Optimization: Public Transportation Networks
Lecturer: Lindner, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Optimization in Public Transportation
Lecturer: Borndörfer, Lindner, FU
Type: Seminar (2h)

Title: Theory and method of non-smooth optimization
Lecturer: Walther, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Mathematical programs with equilibrium constraints
Lecturer: Hintermüller, HU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Selected chapters in graph theory: Matroid and related structures
Lecturer: Felsner, TU
Type: Seminar (2h)
See also here.

Title: Graphs, algorithms and optimization
Lecturer: Sagnol, TU
Type: Seminar (2h)
See also here.

Title: Topological graph theory and intersection numbers
Lecturer: Felsner, TU
Type: Lecture (4h) + tutorial (2h)
See also here.

5. Geometry, topology, and visualization
Title: Advanced module: Topology III
Lecturer: Reich, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Homotopy theory
Lecturer: Reich, FU
Type: Lecture (2h)
See also here.

Title: Research module: Topology
Lecturer: Reich, Angelini-Knoll, Vogt, FU
Type: Seminar (2h)
See also here.

Title: Discrete geometry II
Lecturer: Beck, FU
Type: Lecture (4h) + tutorial (2h)

Title: Tropical geometry
Lecturer: Berghoff, HU
Type: Seminar (2h)

Title: Research seminar: Geometric analysis and spectral theory
Lecturer: Mohnke, Wendl, Schüth, HU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: 3-manifolds
Lecturer: Kegel, HU
Type: Lecture (2h) + tutorial (1h)

Title: Discrete geometry III
Lecturer: Henk, TU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Mathematical visualization
Lecturer: Pinkall, TU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Discrete and Computational Topology
Lecturer: Lutz, TU
Type: Lecture (4h)
See also here.

6. Numerical analysis and scientific computing
Title: Numerical methods for geometric PDEs
Lecturer: Gräser, FU
Type: Lecture (2h) + tutorial (2h)

Title: Optimal control
Lecturer: Hante, HU
Type: Seminar (2h)

Title: Research seminar: Nonlinear partial differential equations
Lecturer: Mielke, Zwicknagl, HU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Control theory
Lecturer: Breiten, TU
Type: Lecture (4h)

7. Applied analysis and differential equations
Title: Theory of function spaces and applications
Lecturer: van Zuijen, FU
Type: Lecture (2h)

Title: Partial differential equations III
Lecturer: Al-Afuni, FU
Type: Lecture (2h)
See also here.

Title: Functional analysis applied to modeling of molecular systems
Lecturer: Delle Site, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Machine learning in meteorology
Lecturer: Müller, Vercauteren, FU
Type: Seminar (2h)
See also here.

Title: Mathematical modelling in climate research
Lecturer: Vercauteren, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Dynamical systems: chaos and stability
Lecturer: Koltai, FU
Type: Seminar (2h)
See also here.

Title: BV functions
Lecturer: Zwicknagl, Ginster, HU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Operator semigroups and evolution equations
Lecturer: Kmit, HU
Type: Seminar (2h)
See also here.

Title: Research seminar: Applied analysis
Lecturer: Zwicknagl, Kmit, HU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Research seminar: Mathematical modeling and numerical simulation
Lecturer: Tischendorf, HU
Type: Research seminar (2h)
See also here.
Please note that you cannot obtain credits from research seminars.

Title: Mathematical physics II
Lecturer: Petrera, TU
Type: Lecture (4h) + tutorial (2h)

8. Mathematics of data science
Title: Data-driven modeling of complex systems
Lecturer: Koltai, FU
Type: Seminar (2h)
See also here.

Title: Mathematic aspects in machine learning
Lecturer: Koltai, FU
Type: Lecture (2h) + tutorial (2h)
See also here.

Title: Deep Learning
Lecturer: Noé, FU
Type: Lecture (2h) + tutorial (2h)

Title: Multiscale methods in molecular simulations
Lecturer: Delle Site, FU
Type: Seminar (2h)
See also here.

Title: Quantum computational methods
Lecturer: Delle Site, FU
Type: Seminar (2h)
See also here.

Title: Selected chapters of stochastic analysis and control theory
Lecturer: Becherer, HU
Type: Seminar (2h)
See also here.

Title: Models of biological neural networks
Lecturer: Schwalger, TU
Type: Lecture (2h)
See also here.

Title: Current topics in computational neuroscience
Lecturer: Schwalger, TU
Type: Seminar (2h)
See also here.

The BMS Basic Courses take place at all three universities which do their best to coordinate the schedules according to the scheme
below.