Below please find a selection of Advanced Courses for the summer semester 2015. If the class you plan to attend is not listed, please check with the BMS Office if it qualifies as an Advanced Course.

1. Differential geometry, global analysis, and mathematical physics
Title: Differential geometry
Lecturer: Bobenko/Pinkall/Sullivan/Suris/Springborn, TU
Type: Seminar (compact course)

Title: General relativity
Lecturer: Rinne, FU
Type: Lecture (2h) + tutorials (2h)

Title: Symplectic topology
Lecturer: Mohnke, HU
Type: Lecture (2h) + tutorials (2h)

Title: Symplectic geometry
Lecturer: Mohnke, HU
Type: Seminar (2h)

Title: Symplectic geometry
Lecturer: Suris, TU
Type: Lecture (4h)

Title: Global pseudodifferential operators 
Lecturer: Paycha, U Potsdam
Type: Lecture (2h) + tutorials (2h)
See also here.  

Title: Mathematical physics II                              (new)
Lecturer: Suris, TU
Type: Lecture (4h) + tutorials (2h)

2. Algebraic and arithmetic geometry, number theory
Title: Quadratic forms
Lecturer: Zhang, FU
Type: Seminar (2h) 
See also here and here for more information. 

Title: Fundamental groups in arithmetic geometry
Lecturer: Esnault, FU
Type: Lecture (2h) + tutorials (2h)

Title: Number theory II
Lecturer: Kindler, FU
Type: Lecture (4h) + tutorials (2h)
See also here. 

Title: Hodge theory
Lecturer: Farkas, HU
Type: Seminar (2h)

Title: Seminar
Lecturer: Esnault/Kreimer, HU
Type: Seminar (2h)

Title: Structure of local field theory
Lecturer: Kreimer, HU
Type: Seminar (2h)

Title: Dyson-Schwinger equations and quantization of gauge theories
Lecturer: Kreimer, HU
Type: Lecture (3h) + tutorials (1h)
See also here. 

Title: Theta functions
Lecturer: Viazovska, HU
Type: Lecture (2h)

Title: Perfectoid algebras
Lecturer: Große-Klönne, HU
Type: Seminar (2h)
See also here. 

Title: Algebraic D-Modules II
Lecturer: Schmidt, HU
Type: Seminar (2h)
For a course description see here. 

Title: Multivariate polynomials, strucutre, algorithms, and lower bounds
Lecturer: Bürgisser, TU
Type: Lecture (4h) + tutorials (2h)

Title: Semi-stable reduction and unimodular triangulations                                                  (new)
Lecturer: Haase, FU
Type: Seminar (2h)

3. Probability, statistics, and financial mathematics
Title: Mathematical finance II
Lecturer: Bank, TU
Type: Lecture (4h) + tutorials (2h)  

Title: Statistics with algebra and polytopes
Lecturer: Haase, FU
Type: Seminar (2h) 

Title: Some topics in stochastic and statistic
Lecturer: Reiß, HU
Type: Seminar (2h)

Title: Mathematical statistic
Lecturer: Reiß, HU
Type: Lecture (4h) + tutorials (2h)

Title: Stochastic partial differential equations
Lecturer: Perkowski, HU
Type: Lecture (4h) + tutorials (2h)

Title: Optimal transport and stochastic analysis                                                             (update)
Lecturer: Perkowski/Imkeller, HU
Type: Seminar (2h)

Title: Stochastic processes in evolution I
Lecturer: Blath, TU
Type: Lecture (2h)

Title: Stochastic processes in evolution
Lecturer: Blath, TU
Type: Seminar (2h)

Title: Financial mathematics II 
Lecturer: Becherer, HU
Type: Lecture (4h) + tutorials (2h)
See also here. 

Title: Nonparametric statstic
Lecturer: Spokoiny, HU
Type: Seminar (2h)

Title: Multivariate statstic
Lecturer: Bodnar, HU
Type: Lecture (4h)
See also here. 

Title: Stochastic partial differential equations: theory and applications
Lecturer: Qiu, HU
Type: Lecture (2h) + tutorials (2h) 

Title: Introduction to mathematical statistical mechanics: random Gibbs fields
Lecturer: Roelly, U Potsdam
Type: Lecture (2h) + tutorials (2h) 

Title: Computational finance                                                                                               (new)
Lecturer: Papapantoleon, TU
Type: Lecture (2h)
See also here. 

Title: Mathematical and computational finance                                                                       (new)
Lecturer: Papapantoleon, TU
Type: Seminar (2h)

Title: Rough Paths and Regularity Structures                                                   (new)
Lecturer: Friz, TU
Type: Lecture (4h) + tutorials (2h)

Title: Oberseminar Rough Paths and Regularity Structures                                                   (new)
Lecturer: Friz, TU
Type: Seminar (2h)

4. Discrete mathematics and combinatorial optimization
Title: Applied network optimization
Lecturer: Möhring, TU
Type: Lecture (4h) + tutorials (2h) 

Title: Scheduling and project planning
Lecturer: Möhring, TU
Type: Seminar (compact course)

Title: Metabolic networks
Lecturer: Bockmayr, FU
Type: Lecture (2h)

Title: Constructive combinatorics
Lecturer: Szabo, FU
Type: Lecture (2h) + tutorials (2h)

Title: Mathematical programming for nonlinear transportation problems
Lecturer: Koch, TU
Type: Seminar (2h) 

Title: Algorithmic game theory
Lecturer: Klimm/Stiller, TU
Type: Seminar (2h) 

5. Geometry, topology and visualisation
Title: Discrete differential geometry
Lecturer: Bobenko, TU
Type: Seminar (2h)  

Title: DGD Graduate
Lecturer: Bobenko, TU
Type: Seminar (2h) 

Title: Computational topology
Lecturer: Lutz, TU
Type: Lecture (2h)

Title: Symmetry: representations, invariants, examples
Lecturer: Pfeifle, TU
Type: Lecture (4h)

Title: Toric geometry
Lecturer: Pfeifle, TU
Type: Lecture (4h)

Title: Topology III
Lecturer: Blagojevic, FU
Type: Lecture (2h) + tutorials (2h)

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

Title: Extensions of polytopes
Lecturer: Sanyal, FU
Type: Seminar (2h)

Title: Visualization
Lecturer: Pinkall, TU
Type: Lecture (4h) + tutorials (2h)

6. Numerical analysis and scientific computing
Title: Mathematical modelling and numerical methods in climatology
Lecturer: Klein, FU
Type: Lecture (2h) + tutorials (2h)

Title: Inside finite elements
Lecturer: Weiser, FU
Type: Lecture (2h) + tutorials (2h)
See also here. 

Title: Ergodic theory and transfer operator
Lecturer: Koltai, FU
Type: Lecture (2h) + tutorials (2h)

Title: Modelling of mass and energy transport
Lecturer: Kornhuber, FU
Type: Seminar (compact course)
See also here. 

Title: Heterogeneous multiscale methods
Lecturer: Kornhuber, FU
Type: Lecture (2h)

Title: Numerical methods for convection-domintaed and turbulent flow problems
Lecturer: John, FU
Type: Lecture (2h) + tutorials (2h)

Title: Computational photonics
Lecturer: Schmidt, FU
Type: Lecture (2h) + tutorials (2h)

Title: Iterative methods for large sparse systems
Lecturer: Müller, HU
Type: Lecture (2h)
See also here. 

Title: Nonsmooth optimization
Lecturer: Surowiec, HU
Type: Lecture (4h)

Title: Computational partial differential equations II
Lecturer: Carstensen, HU
Type: Lecture (4h) + tutorials (2h)

7. Applied analysis and differential equations
Title: Geometric measure theory
Lecturer: Bourni, FU
Type: Lecture (2h) + tutorials (2h) 

Title: Advanced differential equations
Lecturer: Fiedler/Schneider, FU
Type: Seminar (4h)

Title: Perturbation theory
Lecturer: Hell, FU
Type: Lecture (2h)

Title: Dynamical systems III
Lecturer: Hell, FU
Type: Lecture (2h) + tutorials (2h)

Title: Asymptotic analysis II
Lecturer: Wagner, TU
Type: Lecture (4h) + tutorials (2h)
See also here. 

Title: Mathematical modeling
Lecturer: Wagner, TU
Type: Lecture (4h)
See also here.  

Title: Seminar
Lecturer: Wagner, TU
Type: Seminar (2h)

Title: Numerical methods for stochastic partial differential equations
Lecturer: Kruse, TU
Type: Lecture (4h)

Title: Functional analysis III
Lecturer: Kutyniok, TU
Type: Lecture (4h) + tutorials (2h)
See also here.

Title: Applied functional analysis
Lecturer: Kutyniok, TU
Type: Seminar (2h)
See also here.

Title: Algorithms of modern beamforming systems                                                                 (new)
Lecturer: Puhle, HU
Type: Lecture (2h)

For seminars and colloquia, see also the Berlin-Potsdam Mathematics Calendar