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.