These are the Advanced Courses for the summer semester 2019.

 

1. Differential geometry, global analysis, and mathematical physics
Title: K3 surfaces
Lecturer: Klingler, HU
Type: Seminar (2h)

Title: Quantization of Gauge Theories
Lecturer: Kreimer, HU
Type: Lecture (3h) + tutorial (1h)
See also here.

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

Title: Differential geometry and mathematical physics
Lecturer: Bobenko, TU
Type: Seminar (2h)
See also here.

Title: Differential geometry III: Complex and quaternionic line bundles
Lecturer: Pinkall, TU
Type: Lecture (4h)
See also here.

Title: Visualization in mathematics
Lecturer: Pinkall, TU
Type: Lecture (4h) + tutorial (2h)
See also here.

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

Title: Group actions in geometry and quantum field theory
Lecturer: Paycha, UP
Type: Lecture (4h) + tutorial (2h)

Title: Quantum communication and quantum networks (MATH+)
Lecturer: Eisert, FU
Type: Seminar (2h)
Please note the special format of this course.

 

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

Title: Research seminar: Algebra
Lecturer: Altmann, FU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Homological algebra
Lecturer: Kohrita, FU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Linear algebraic group and finite groups of Lie type
Lecturer: Ersoy, FU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Number theory
Lecturer: Agostini, HU
Type: Lecture (4h) + tutorial (2h)

Title: Algebra
Lecturer: Kummer, TU
Type: Seminar (2h)
See also here.

Title: Algebraic curves: enumerative, combinatorial and computational aspects
Lecturer: Farkas, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

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

Title: Adic spaces and perfectoid spaces
Lecturer: Klingler, HU
Type: Lecture (4h) + tutorial (2h)

Title: D-modules
Lecturer: Krämer, HU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Variations on Bezout's theorem
Lecturer: Bürgisser, TU
Type: Lecture (2h)

Title: Condition: Geometry of numerical algorithms
Lecturer: Bürgisser, TU
Type: Lecture (4h)

Title: Software seminar: Numerical nonlinear algebra
Lecturer: Bürgisser, TU
Type: Seminar (2h)

Title: Algebra III: Real algebra
Lecturer: Kummer, TU
Type: Lecture (2h) + tutorial (1h)

Title: Polyhedral methods in algebraic geometry
Lecturer: Haase, FU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Research seminar: Polytopes and algebraic geometry
Lecturer: Haase, FU
Type: Research seminar (2h)
See also here and here.
Please note that you cannot obtain credits from research seminars.

 

3. Stochastics and mathematical finance
Title: Stochastic analysis and control theory
Lecturer: Becherer, HU
Type: Seminar (2h)

Title: Financial mathematics II
Lecturer: Bank, TU
Type: Lecture (4h) + tutorials (2h)

Title: The filtering problem and portfolio optimization under partial information
Lecturer: Belak, TU
Type: Seminar (2h)
See also here.

Title: Stochastic models in neuroscience
Lecturer: Stannat, TU
Type: Seminar (2h)

Title: Stochastic partial differential equations
Lecturer: Scheutzow, TU
Type: Lecture (2h)
See also here.

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

Title: Measurement and integration theory
Lecturer: Friz, TU
Type: Lecture (4h) + tutorials (2h)

Title: Stochastic financial mathematics II
Lecturer: Horst, HU
Type: Lecture (4h) + tutorial (2h)

Title: Stochastic models in neuroscience
Lecturer: Schwalger, TU
Type: Seminar (2h)

Title: Stochastics
Lecturer: Kurt, TU
Type: Seminar (2h)
See also here.

Title: Stochastic differential equations
Lecturer: Gräser, HU
Type: Lecture (2h) + tutorial (1h)

Title: Topics in random walks
Lecturer: Orenshtein, TU
Type: Lecture (2h)
See also here.

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

 

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

Title: Research seminar: Combinatorics
Lecturer: Szabó, FU
Type: Research seminar (2h)
See also here.
Please note that you cannot obtain credits from research seminars.

Title: Optimization in public transport
Lecturer: Borndörfer; Lindner, FU
Type: Seminar (2h)

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

Title: Algorithmic mixed-integer programming
Lecturer: Gleixner, FU
Type: Seminar (2h)

Title: Advanced topics in optimization
Lecturer: Hintermüller, HU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Optimization
Lecturer: Kröner, HU
Type: Seminar (2h)
See also here.

Title: Selected topics in Quantitative methods/Network games and Mechanism design (MATH+)
Lecturer: Klimm, HU
Type: Seminar (2h)
Please note the special format of this course.

 

5. Geometry, topology, and visualization
Title: Discrete geometry II
Lecturer: Blagojević, FU
Type: Lecture (4h) + tutorial (2h)

Title: Research module: Topology
Lecturer: Reich, FU
Type: Seminar (2h)

Title: Discrete and computational topology
Lecturer: Lutz, TU
Type: Lecture (4h)

Title: Discrete geometry III
Lecturer: Paffenholz, TU
Type: Lecture (4h) + tutorial (2h)

Title: Research seminar: Geometry and topology
Lecturer: Reich, FU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Real algebra and optimization
Lecturer: Sinn; Sjöberg, FU
Type: Seminar (2h)
See also here.

Title: Tropical geometry and optimization (MATH+)
Lecturer: Joswig, TU
Type: Seminar (2h)
Please note the special format of this course.

Title: Discrete and convex geometry
Lecturer: Henk, TU
Type: Seminar (2h)
See also here.

 

6. Numerical analysis and scientific computing
Title: Seminar multiscale methods in molecular simulations
Lecturer: Delle Site, FU
Type: Seminar (2h)

Title: Deep learning
Lecturer: Noé, FU
Type: Lecture (2h) + tutorial (1h)

Title: Numerical mathematics
Lecturer: Nabben, TU
Type: Seminar (2h)

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

Title: Numerical linear algebra II
Lecturer: Nabben, TU
Type: Lecture (2h)

Title: Research seminar: Geophysical fluid dynamics
Lecturer: Vercauteren, FU
Type: Research seminar (2h)
Please note that you cannot obtain credits from research seminars.

Title: Mathematics of learning: From Hilbert’s 13th problem to fluctuating hydrodynamics
Lecturer: Kornhuber; Gräser, FU
Type: Seminar (2h)

Title: Inverse problems
Lecturer: Sullivan, FU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Control theory deepening
Lecturer: Mehrmann, TU
Type: Lecture (2h)

Title: Numerical mathematics
Lecturer: Bertrand, HU
Type: Lecture (2h) + tutorial (1h)

Title: Numeric of partial differential equations II
Lecturer: Bertrand, HU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Variational calculation and optimal control
Lecturer: Zwicknagl, TU
Type: Lecture (4h)

Title: Mathematical aspects of quantization
Lecturer: Müller, HU
Type: Seminar (2h)
See also here.

 

7. Applied analysis and differential equations
Title: Mathematical modeling in climate research
Lecturer: Vercauteren, FU
Type: Lecture (2h) + tutorial (1h)

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

Title: Differential equations III - dynamical Systems III - delay Equations
Lecturer: Schneider, FU
Type: Lecture (2h) + tutorial (1h)
See also here.

Title: Oberseminar: Nonlinear dynamics
Lecturer: Schneider, FU
Type: Oberseminar (2h)
See also here.

Title: Research Projekt: Advanced differential equations
Lecturer: Schneider, FU
Type: Research Projekt (4h)
See also here.

Title: Applied analysis
Lecturer: Zwicknagl, TU
Type: Seminar (2h)

Title: Highdimensional PDEs
Lecturer: Schneider, TU
Type: Seminar (2h)

Title: Differential equations III
Lecturer: Lasarzik, TU
Type: Lecture (4h) + tutorial (2h)

Title: Stochastic partial differential equations
Lecturer: Horst, HU
Type: Lecture (2h) + tutorial (1h)

Title: Optimization of partial differential equations
Lecturer: Kröner, HU
Type: Lecture (4h) + tutorial (2h)

Title: Partial differential equations I
Lecturer: Ecker, FU
Type: Lecture (4h) + tutorial (2h)
See also here.

Title: Seminar: Partial differential equations
Lecturer: Ecker, FU
Type: Seminar (2h)
See also here.

Title: The Navier-Stokes equations and applications toward data assimilation
Lecturer: Titi, FU
Type: Lecture (2h) + tutorial (2h)

 

8. Mathematics of data science
Title: Mathematics of machine learning: Reinforcement learning
Lecturer: Gurevich, FU
Type: Seminar (2h)
See also here.

Title: Statistics
Lecturer: Deuschel, TU
Type: Lecture (4h) + tutorial (2h)

Title: Mathematical statistics
Lecturer: Spokoiny, HU
Type: Lecture (4h) + tutorial (2h)

 

 

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