These are the Advanced Courses for the winter semester 2018/19.

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

Lecturer: Koltai; Vercauteren, FU

Type: Seminar (2h)

See also here.

Title: Mathematical physics III

Lecturer: Petrera, TU

Type: Lecture (4h)

Title: Differential geometry and mathematical physics

Lecturer: Sullivan, TU

Type: Seminar (2h)

See also here.

Title: Symplectic topology and holomorphic curves

Lecturer: Wendl, HU

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

See also here.

Title: Lorentz geometry and mathematical theory of relativity

Lecturer: Müller, HU

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

See also here.

Title: Hopf algebras: Renormalization and the renormalization group

Lecturer: Kreimer, HU

Type: Lecture (3h) + tutorial (1h)

Title: The de Rham-Hodge-Operator

Lecturer: Brüning, HU

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

Title: Singular Integrals

Lecturer: Berghoff, HU

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

Title: Symplectic geometry

Lecturer: Mohnke; Wendl, HU

Type: Seminar (2h)

See also here.

Title: Floer homology

Lecturer: Mohnke, HU

Type: Seminar (2h)

Title: Quantum field theory

Lecturer: Kreimer, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

**2. Algebraic and arithmetic geometry, number theory**Title: Research module: Algebra

Lecturer: Altmann, FU

Type: Seminar (2h)

Title: Algebra

Lecturer: Altmann, FU

Type: Research Seminar (2h)

Title: Advanced module: Algebra III

Lecturer: Haase, FU

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

Title: The de-Rahm-Witt-Complex

Lecturer: Rülling, FU

Type: Lecture (2h)

See also here.

Title: Number theory III

Lecturer: Esnault, FU

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

Title: Fundamental aspects in arithmetic geometry

Lecturer: Esnault, FU

Type: Seminar (2h)

Title: Selected chapters of arithmetic geometry

Lecturer: Esnault, FU

Type: Research seminar (2h)

Title: Arithmetic geometry

Lecturer: Esnault, FU

Type: Research seminar (2h)

Title: Étale Cohomology

Lecturer: Kohrita, FU

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

See also here.

Title: Categories and infinity categories

Lecturer: Lehalleur, FU

Type: Seminar (2h)

See also here.

Title: Hodge theory

Lecturer: Klingler, HU

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

Title: Selected chapters of algebra

Lecturer: Große-Klönne, HU

Type: Seminar (2h)

Title: Algebraic geometry

Lecturer: Farkas; Klingler, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Arithmetic geometry

Lecturer: Kramer; Krämer, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Logarithmic Algebraic Geometry

Lecturer: Klingler, HU

Type: Seminar (2h)

**3. Stochastics and mathematical finance**Title: Stochastic differential equations

Lecturer: Gräser, FU

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

Title: Financial mathematics I

Lecturer: Bank, TU

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

Title: Stochastic optimal control

Lecturer: Bank, TU

Type: Lecture (2h)

Title: Rough Volatility

Lecturer: Friz, TU

Type: Lecture (2h)

Title: Stochastical financial mathematics I

Lecturer: Bank, TU

Type: Seminar (2h)

Title: Stochastic models

Lecturer: Kurt, TU

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

Title: Interacting particle systems

Lecturer: Deuschel, TU

Type: Seminar (2h)

Title: Probability theory IV

Lecturer: Scheutzow, TU

Type: Lecture (4h)

Title: Stochastic models in neuroscience

Lecturer: Stannat, TU

Type: Seminar (2h)

Title: Stochastic processes in neuroscience

Lecturer: Stannat, TU

Type: Lecture (2h)

Title: Gaussian free field and Liouville quantum gravity

Lecturer: Tran, TU

Type: Seminar (2h)

See also here.

Title: Non-cooperative game theory and stochastic games

Lecturer: Horst, HU

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

See also here.

Title: Interest Rate Modelling and Derivative Pricing

Lecturer: Schlenkrich, HU

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

See also here.

Title: Stochastic analysis and stochastics of financial markets

Lecturer: Becherer; Horst; Kreher, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

**4. Discrete mathematics and optimization**Title: Discrete mathematics III

Lecturer: Szabó, FU

Type: Seminar (2h)

Title: Multi-criteria optimization

Lecturer: Linder, FU

Type: Seminar (2h)

See also here.

Title: Combinatorics

Lecturer: Szabó, FU

Type: Research seminar (2h)

Title: Polytopes and algebraic geometry

Lecturer: Haase, FU

Type: Research seminar (2h)

Title: Advanced topics in linear and discrete optimization (ADM III)

Lecturer: Joswig, TU

Type: Lecture (4h)

Title: Geometric and algebraic combinatorics

Lecturer: Sturmfels, TU

Type: Seminar (2h)

See also here.

Title: Convex optimization and applications (ADM III)

Lecturer: Sagnol, TU

Type: Lecture (4h)

See also here.

Title: Analysis on graphs

Lecturer: Keller, UP

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

See also here.

**5. Geometry, topology, and visualization**Title: Advanced module: Topology III

Lecturer: Blagojević, FU

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

Title: Topological combinatorics

Lecturer: Blagojević, FU

Type: Seminar (2h)

Title: Advanced module: Differential geometry

Lecturer: Lipschütz; Polthier, FU

Type: Seminar (2h)

See also here.

Title: Differential geometry III

Lecturer: Polthier, FU

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

See also here.

Title: Advanced module: Discrete gemoetry III

Lecturer: Sinn, FU

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

See also here.

Title: Geometry and topology

Lecturer: Reich, FU

Type: Research seminar (2h)

Title: Research module: Topology

Lecturer: Reich; Vogt, FU

Type: Seminar (2h)

Title: Geometry and topology of materials

Lecturer: Lutz, TU

Type: Seminar (2h)

Title: Mathematical software

Lecturer: Joswig, TU

Type: Seminar (2h)

See also here.

Title: Triangulations

Lecturer: Panizzut, TU

Type: Seminar (2h)

See also here.

Title: Discrete and convex geometry

Lecturer: Henk, TU

Type: Seminar (2h)

See also here.

Title: Topology II

Lecturer: Wendl, HU

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

See also here.

Title: Seminar geometry/topology

Lecturer: Kegel, HU

Type: Seminar (2h)

See also here.

Title: Discrete spectral geometry

Lecturer: Keller, UP

Type: Seminar (2h)

**6. Numerical analysis and scientific computing**Title: Soft Matter: mathematical aspects, physical modeling and computer simulation

Lecturer: Delle Site, FU

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

Title: Multiscale methods in molecular simulations

Lecturer: Delle Site, FU

Type: Seminar (2h)

Title: Langevin dynamics

Lecturer: Djurdjevac; Kornhuber, FU

Type: Seminar (2h)

Title: Multiscale methods for elliptic partial differential equations

Lecturer: Kornhuber, FU

Type: Seminar (2h)

Titel: Computational Molecular Physics

Lecture: Imhof, FU

Type: Seminar (2h)

Title: Advanced module: Numerik IV

Lecturer: Gräser, FU

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

Title: Optimal control of partial differential equations

Lecturer: Zwicknagl, TU

Type: Lecture (4h)

Title: Numerical linear algebra

Lecturer: Nabben, TU

Type: Lecture (2h)

Title: Numerical methods

Lecturer: Nabben, TU

Type: Seminar (2h)

Title: Model reduction

Lecturer: Voigt, TU

Type: Lecture (4h)

Title: Optimal control

Lecturer: Tröltzsch, TU

Type: Seminar (2h)

Requirement: Successful completion of "Optimal control of PDEs".

Title: Complex analysis II

Lecturer: Pinkall, TU

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

Title: Scientific computing

Lecturer: Furmann, TU

Type: Lecture (4h)

See also here.

Title: Nonlinear functional analysis

Lecturer: Heida, TU

Type: Lecture (4h)

Title: Differential-algebraic equations

Lecturer: Mehrmann, TU

Type: Lecture (4h)

Titel: Numerical mathematics

Lecturer: Carstensen, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Mathematical optimization

Lecturer: Hintermüller, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Mathematical analysis and numerical treatment of PDE eigenvalues

Lecturer: Carstensen, HU

Type: Seminar (2h)

Title: Mathematical modeling and numerical simulation

Lecturer: Tischendorf, HU

Type: Research seminar (2h)

<Please note that you cannot obtain credits from research seminars.

**7. Applied analysis and differential equations**Title: Advanced differential equations

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Nonlinear dynamics

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Advanced delay equations

Lecturer: Schneider, FU

Type: Seminar (2h)

Title: Stochastic modelling of reaction kinetics

Lecturer: Winkelmann, FU

Type: Lecture (2h) + tutorial (2h) (Block course 12.11. - 23.11.18)

Title: Calculus of variations

Lecturer: Zwicknagl, TU

Type: Lecture (2h)

Title: Free discontinuity problems

Lecturer: Zwicknagl, TU

Type: Seminar (2h)

Title: Applied harmonic analysis

Lecturer: Kutyniok, TU

Type: Seminar (2h)

Title: Applied dynamical systems

Lecturer: Yanchuk, TU

Type: Seminar (2h)

Title: Highdimensional PDEs

Lecturer: Schneider, TU

Type: Seminar (2h)

Title: Applied analysis

Lecturer: Kmit; N.N., HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

**8. Mathematics of data science**Title: Linear and nonlinear approximations

Lecturer: Kornhuber, FU

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

Title: Mathematics of machine learning: from linear models to neural networks

Lecturer: Gurevich, FU

Type: Seminar (2h)

See also here.

Title: Computional sciences

Lecturer: Noé; Vercauteren, FU

Type: Lecture (4h)

Title: Functional analysis II

Lecturer: Kutyniok, TU

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

Title: Uncertainty quantification and statistical learning

Lecturer: Schneider, TU

Type: Lecture (4h)

Title: High dimensional convex geometry

Lecturer: Henk, TU

Type: Lecture (2h)

See also here.

Title: Inverse problems

Lecturer: Kröner, HU

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

See also here.

Title: Multivariate statistics

Lecturer: Bodnar, HU

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

Title: Statistical data analysis

Lecturer: Liero, UP

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

Title: Modern Methods in Applied Stochastics and Nonparametric Statistics

Lecturer: Spokoiny, HU

Type: Seminar (2h)

Title: Modern Methods in Applied Stochastics and Nonparametric Statistics

Lecturer: Spokoiny, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

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

below.