1. Differential geometry, global analysis, and mathematical physics
Title: Differential geometry III: fluid mechanics
Lecturer: Pinkall, TU
Type: Lecture (4h)
See also here.
Title: Ennumerative theory of complex curves
Lecturer: Guéré, HU
Type: Seminar (2h)
Title: Symplectic geometry
Lecturer: Mohnke, HU
Type: Seminar (2h)
See also here.
Title: Dyson Schwinger equations and quantization of gauge theories
Lecturer: Kreimer, HU
Type: Lecture (see here)
See also here.
Title: Differentialgeometry – gauge theory and Dirac operators
Lecturer: Baum, HU
Type: Lecture (4h)
See also here.
Title: Differentialgeometry
Lecturer: Baum, HU
Type: Seminar (2h)
See also here.
Title: Mathematical physics II
Lecturer: Suris, TU
Type: Lecture (4h) + tutorials (2h)
2. Algebraic and arithmetic geometry, number theory
Title: Representation theory
Lecturer: Bürgisser, TU
Type: Lecture (2h)
See also here.
Title: Algebra
Lecturer: Bürgisser, TU
Type: Seminar (2h)
See also here.
Title: Linear algebraic groups
Lecturer: Große-Klönne, HU
Type: Lecture (4h)
See also here.
Title: Perfectoid fields
Lecturer: Große-Klönne, HU
Type: Seminar (2h)
See also here.
Title: Quotients and invariants in algebraic geometry
Lecturer: Farkas, HU
Type: Seminar (2h)
Title: Tensor categories and representation theory
Lecturer: Krämer (substitute professor), HU
Type: Seminar (2h)
See also here.
Title: Number theory II
Lecturer: Esnault, FU
Type: Lecture (4h) + tutorials (2h)
Title: p-adic Hodge theory
Lecturer: Esnault, FU
Type: Lecture (4h) + tutorials (2h)
See also here.
Title: Models of curves and abelian varieties
Lecturer: Pepin Lehalleur, FU
Type: Lecture (2h)
See also here.
Title: Galois theory
Lecturer: Kindler, FU
Type: Seminar (2h)
See also here.
3. Probability, statistics, and financial mathematics
Title: Stochastic processes in neuroscience I
Lecturer: Stannat, TU
Type: Lecture (2h) + tutorials (2h)
Title: Stochastic processes in neuroscience
Lecturer: Stannat, TU
Type: Seminar (2h)
Title: Extreme value theory and point processes
Lecturer: Soares dos Santos, TU
Type: Lecture (2h)
Title: Multivariate statistics
Lecturer: Bodnar, HU
Type: Lecture (4h)
Title: Stochastic financial mathematics
Lecturer: Horst, HU
Type: Lecture (4h)
Title: Infinite dimensional stochastic calculus
Lecturer: Horst, HU
Type: Seminar (2h)
Title: Fourier analysis and stochastic integration
Lecturer: Imkeller, HU
Type: Lecture (4h)
Title: Stochastic optimization
Lecturer: Henrion, HU
Type: Lecture (4h)
Title: Nonparametric statistics
Lecturer: Altmeyer / Wahl, HU
Type: Lecture (4h)
Title: Ergodic theory and transfer operators
Lecturer: Koltai, FU
Type: Lecture (2h)
4. Discrete mathematics and combinatorial optimization
Title: Discrete optimization
Lecturer: Skutella, TU
Type: Lecture (4h) + tutorials (2h)
See also here.
Title: Geometrical representation
Lecturer: Felsner, TU
Type: Seminar (2h)
Title: Designs and codes
Lecturer: Das, FU
Type: Lecture (2h) + tutorials (2h)
See also here.
Title: Optimization
Lecturer: Borndörfer, FU
Type: Lecture (4h)
5. Geometry, topology and visualisation
Title: Convex geometry II
Lecturer: Henk, TU
Type: Lecture (4h) + tutorials (2h)
Title: Discrete and convex geometry
Lecturer: Henk, TU
Type: Seminar (2h)
Title: Discrete geometry II
Lecturer: Henk, TU
Type: Lecture (4h) + tutorials (2h)
Title: Computational topology
Lecturer: Lutz, TU
Type: Lecture (4h) + tutorials (2h)
Title: Discrete geometry
Lecturer: Joswig, TU
Type: Seminar (2h)
Title: Topologie III: Introduction to homotopy theory
Lecturer: Vogt, FU
Type: Lecture (2h)
Title: Categories and homotopy theory
Lecturer: Egas Santander, FU
Type: Lecture (2h)
It is strongly advised that students that take this course should also take Topology III.
Title: Hyperplanes, matroids & broken circuits
Lecturer: Haase, FU
Type: Seminar (2h)
See also here.
Title: Discrete geometry II
Lecturer: Blagojevic, FU
Type: Lecture (4h) + tutorials (2h)
Title: Topological data analysis
Lecturer: Kelly, FU
Type: Seminar (2h)
Title: Infinity categories
Lecturer: Kelly, FU
Type: Seminar (2h)
6. Numerical analysis and scientific computing
Title: Numerical methods for PDEs II
Lecturer: Schneider, TU
Type: Lecture (4h)
Title: Multilevel methods for solving linear systems of equations
Lecturer: Nabben, TU
Type: Lecture (2h)
Title: Numerical methods
Lecturer: Nabben, TU
Type: Seminar (2h)
Title: Control theory
Lecturer: Altmann, TU
Type: Lecture (4h)
See also here.
Title: Numerical linear algebra II
Lecturer: Liesen, TU
Type: Lecture (2h) + tutorials (2h)
Title: Theory and methods of nonsmooth optimization
Lecturer: Hintermüller, HU
Type: Lecture (4h)
See also here.
Title: Computational partial differential equations II
Lecturer: Carstensen, HU
Type: Lecture (4h)
Title: Numerics of differential algebraic equations
Lecturer: Tischendorf, HU
Type: Lecture (4h)
Title: Complex dynamic in fluids
Lecturer: Höfling, FU
Type: Lecture (2h)
Title: Theory of electronic excitation
Lecturer: Klein, FU
Type: Lecture (2h)
Title: Mathematical modelling in climate science
Lecturer: Vercauteren, FU
Type: Lecture (2h) + tutorials (2h)
Title: Mathematical aspects in machine learning
Lecturer: Schütte, FU
Type: Lecture (2h)
Title: Mathematical of machine learning: from linear models to neural networks
Lecturer: Gurevich, FU
Type: Seminar (2h)
See also here.
7. Applied analysis and differential equations
Title: Differential equations with time delay
Lecturer: Yanchuk, TU
Type: Lecture (2h)
See also here.
Title: Nonlinear dynamics and their applications II
Lecturer: Yanchuk, TU
Type: Lecture (2h)
Title: Functional analysis III
Lecturer: Kutyniok, TU
Type: Lecture (4h) + tutorials (2h)
Title: Functional analysis and data science
Lecturer: Kutyniok, TU
Type: Seminar (2h)
Title: Functional analytical methods in classical physics II
Lecturer: Stephan, HU
Type: Lecture (2h)
See also here.
Title: Uncertainty quantification: High dimensional probability with applications to data science
Lecturer: Sullivan, FU
Type: Seminar (2h)
See also here.
The BMS Advanced Courses take place at all three universities which do their best to coordinate the schedules according to the scheme below.
