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.