The following list presents the Advanced Courses that will take place in the winter semester 2017/18.

**1. Differential geometry, global analysis, and mathematical physics**Title: Differential geometry and mathematical physics

Lecturer: Bobenko, TU

Type: Seminar (2h)

See also here.

Title: Introduction to quantum field theory

Lecturer: Kreimer, HU

Type: Lecture (4h)

See also here.

Title: The Atiyah-Singer index theorem

Lecturer: Wendl, HU

Type: Seminar (2h)

See also here.

Title: Mathematical theory of relativity

Lecturer: Müller, HU

Type: Lecture (2h) + tutorial (2h - fortnightly)

See also here.

Title: Differential geometry III

Lecturer: Afuni, FU

Type: Lecture (2h) + tutorials (2h)

See also here.

Update

Title: Geometric analysis

Lecturer: Ecker, FU

Type: Research seminar (2h)

See also here.

Title: Mathematical physics III

Lecturer: Suris, TU

Type: Lecture (4h) + tutorials (2h)

Update

**2. Algebraic and arithmetic geometry, number theory**Title: Different topics in algebra

Lecturer: Große-Klönne, HU

Type: Seminar (2h)

See also here.

Title: Representation theory

Lecturer: Bürgisser, TU

Type: Lecture (2h)

See also here.

Title: Fundamental aspects in arithmetic geometry

Lecturer: Esnault, FU

Type: Seminar (2h)

See also here.

Title: Crystals and crystalline cohomology

Lecturer: Zhang, FU

Type: Lecture (2h) + tutorial (2h)

See also here.

Title: Advanced module: Algebra III

Lecturer: Schmitt, FU

Type: Lecture (2h) + tutorial (2h)

See also here.

Title: Research module: Algebra

Lecturer: Schmitt, FU

Type: Seminar (2h)

See also here.

Title: Representation theory

Lecturer: Krämer, HU

Type: Lecture (4h) + tutorial (2h)

See also here.

Title: Sheaf theory

Lecturer: Klingler, HU

Type: Lecture (4h) + tutorial (2h)

Title: Hodge theory

Lecturer: Klingler, HU

Type: Seminar (2h)

**3. Probability, statistics, and financial mathematics**Title: Probability theory IV

Lecturer: Hammer, TU

Type: Lecture (2h)

Title: Rough analysis and quantitative finance

Lecturer: Friz, TU

Type: Seminar (2h)

Check out this page in order to participate.

Title: Regularization by noise

Lecturer: Maurelli, TU

Type: Lecture (2h)

Title: Financial mathematics I

Lecturer: Bank, TU

Type: Lecture (4h) + tutorials (2h)

Title: Stochastical financial mathematics I

Lecturer: Schoenmakers, HU

Type: Lecture (4h) + tutorials (2h)

Title: Mathematics of Data Science

Lecturer: Shane, FU

Type: Seminar (2h)

See also here.

Title: Cryptography and Security in distributed systems

Lecturer: Roth, FU

Type: Lecture (4h) + tutorial (2h)

Title: Stochastic analysis and stochastic of financial market

Lecturer: Becherer et al., HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Stochastic and optimal control

Lecturer: Becherer, HU

Type: Seminar (2h)

Title: Selected chapters of stochastics - Interacting particles and stochasic PDEs

Lecturer: Perkowski, HU

Type: Lecture (2h) + tutorial (1h)

**4. Discrete mathematics and combinatorial optimization**

Title: Combinatorial algorithms

Lecturer: Felsner, TU

Type: Seminar (2h)

See also here.

Title: Combinatorial algorithms

Lecturer: Mütze, TU

Type: Lecture (4h)

Title: Convex optimization and applications (ADM III)

Lecturer: Sagnol, TU

Type: Lecture (4h)

See also here.

Title: Discrete mathematics II - Extremal comb.

Lecturer: Szabó, FU

Type: Lecture (4h) + tutorials (2h)

Title: Discrete geometry

Lecturer: Sinn, FU

Type: Lecture (4h)

Title: Discrete mathematics III

Lecturer: Szabó, FU

Type: Seminar (2h)

Title: Optimization II

Lecturer: Borndörfer, FU

Type: Lecture (4h) + tutorials (2h)

**5. Geometry, topology and ****visualization**Title: Geometry III

Lecturer: Bobenko, TU

Type: Lecture (4h)

See also here.

Title: Geometry of numbers

Lecturer: Henk, TU

Type: Lecture (4h)

See also here.

Title: Discrete and convex geometry

Lecturer: Henk, Malikiosis, TU

Type: Seminar (2h)

See also here.

Title: Convex geometry related to Hamiltonian group action

Lecturer: Joswig, TU

Type: Lecture (4h)

See also here. Please contact Prof. Dr. Joswig by mail, if you want to participate at the course.

Title: Convex geometry I

Lecturer: Malikiosis, TU

Type: Seminar (2h)

See also here.

Title: Discrete geometry

Lecturer: Blagojevic, FU

Type: Seminar (2h)

Title: Advanced module: Discrete geometry III - Lattice polytopes

Lecturer: Haase, FU

Type: Lecture (2h) + tutorials (2h)

See also here.

Title: Visualization

Lecturer: Polthier, FU

Type: Seminar (2h)

See also here.

Title: Stable homotopy theory

Lecturer: Reich, FU

Type: Lecture (4h) + tutorial (2h)

See also here.

Title: Research module: Topology

Lecturer: Reich, FU

Type: Seminar (2h)

Title: Topology II

Lecturer: Wendl, HU

Type: Lecture (4h)

Title: Morse theory

Lecturer: Mohnke, HU

Type: Seminar (2h)

Title: Symplectic topology

Lecturer: Mohnke / Wendl, HU

Type: Seminar (2h)

**6. Numerical analysis and scientific computing**Title: Scientific computing

Lecturer: Fuhrmann, TU

Type: Lecture (4h)

Title: Model reduction

Lecturer: Voigt, TU

Type: Lecture (4h)

Title: Optimal control of partial differential equations

Lecturer: Tröltzsch, TU

Type: Seminar (2h)

See also here.

Title: Numerics IV: Finite elemente methods II (fluid mechanics)

Lecturer: John, FU

Type: Lecture (2h) + tutorial (2h)

See also here.

Title: Mathematics of Machine Learning: from linear models to neural networks

Lecturer: Gurevich, FU

Type: Seminar (2h)

See also here.

Title: Computational photonics

Lecturer: Schmidt, FU

Type: Lecture (2h) + tutorial (2h)

See also here.

Title: Computational sciences

Lecturer: Klein, Noé, FU

Type: Lecture (4h)

See also here.

Title: Uncertainty quantification

Lecturer: Sullivan, FU

Type: Seminar (2h)

See also here.

Title: Large deviations (also Teaching Area 3)

Lecturer: Kornhuber, Gräser, FU

Type: Seminar (2h)

Title: Soft matter: Mathematical aspects, physical modeling and computer simulation

Lecturer: Delle Site, FU

Type: Lecture (4h) + tutorial (2h)

Please contact Prof. Dr. Luigi Delle Site for more information about the course.

Title: Multiscale methods in molecular simulations

Lecturer: Delle Site, FU

Type: Seminar (2h)

Please contact Prof. Dr. Luigi Delle Site for more information about the course.

Title: Numerical analysis

Lecturer: Carstensen, HU

Type: Seminar (2h)

Title: Control theory

Lecturer: Müller, HU

Type: Seminar (2h)

See also here.

**7. Applied analysis and differential equations**Title: Functional analysis II

Lecturer: Kutyniok, TU

Type: Lecture (4h) + tutorials (2h)

Title: Deep learning

Lecturer: Kutyniok, TU

Type: Lecture (2h)

Title: Differential-algebraic equations

Lecturer: Scholz, TU

Type: Lecture (4h)

Title: Non linear dynamics and their applications

Lecturer: Yanchuk, TU

Type: Lecture (2h)

Title: Selected topics in PDE constrained optimization

Lecturer: Kröner, HU

Type: Seminar (2h)

See also here.

Title: Optimal transport and Wasserstein gradient flows

Lecturer: Liero, HU

Type: Lecture (4h)

See also here.

Title: Nonlinear PDEs

Lecturer: Thomas, HU

Type: Lecture (4h)

Title: Mathematical modeling of hysteresis effects

Lecturer: Klein, HU

Type: Lecture (2h)

Title: Differential equations II - Dynamical systems II

Lecturer: Ecker, FU

Type: Lecture (4h) + tutorial (2h)

See also here.

Title: Analysis

Lecturer: Güneysu, HU

Type: Seminar (2h)

See also here.

Title: Complex analysis II

Lecturer: Suris, TU

Type: Lecture (4h) + tutorials (2h)

Update

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