These are the Advanced Courses for the winter semester 2019/20.

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

Lecturer: Mohnke, HU

Type: Seminar (2h)

See also here.

Title: Symplectic geometry

Lecturer: Wendl, HU

Type: Seminar (2h)

See also here.

Title: Quantum field theory

Lecturer: Berghoff, HU

Type: Research seminar (2h)

See also here.

Please note that you cannot obtain credits from research seminars.

Title: Complex analysis II

Lecturer: Knöppel, TU

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

See also here.

Title: Mathematical physics III

Lecturer: Suris, TU

Type: Lecture (4h)

See also here.

Title: Lorentzian geometry

Lecturer: Bandara, UP

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

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

Lecturer: Altmann, FU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Algebra

Lecturer: Altmann, FU

Type: Seminar (2h)

Title: Algebra III

Lecturer: Altmann, FU

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

Title: Research seminar: Polytopes and algebraic geometry

Lecturer: Haase, FU

Type: Research seminar (2h)

See also here.

Please note that you cannot obtain credits from research seminars.

Title: Elliptic curves

Lecturer: Kohrita, FU

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

See also here.

Title: Varieties, polyhedra, computation - Opening Conference (7th - 11th October 2019)

Lecturer: Haase, FU

Type: Seminar (2h)

See also here.

Both events have to be attended to count as one BMS Advanced Course. (Opening Conference / Fall School)

Title: Varieties, polyhedra, computation - Fall School (30th September - 4th October 2019)

Lecturer: Sinn, FU

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

See also here.

Both events have to be attended to count as one BMS Advanced Course.(Opening Conference / Fall School)

Title: Numerical Algebraic Geometry

Lecturer: Haase, FU

Type: Seminar (2h)

See also here.

There will a block course component Mon/Tue Oct 14/15 all day!

Title: Algebra IV

Lecturer: Kummer, TU

Type: Lecture (2h)

See also here.

Title: Real algebra II

Lecturer: Kummer, TU

Type: Lecture (2h)

See also here.

Title: Representation theory of Quiver

Lecturer: Kussin, TU

Type: Lecture (2h)

See also here.

Title: Elliptic curves

Lecturer: Krämer, HU

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

See also here.

Title: Arithmetic geometry

Lecturer: Kramer, HU

Type: Seminar (2h)

See also here.

Title: Index theory

Lecturer: Müller, HU

Type: Seminar (2h)

See also here.

**3. Stochastics and mathematical finance**Title: Stochastical mathematical finance

Lecturer: Bank, TU

Type: Seminar (2h)

Title: Financial mathematics I

Lecturer: Belak, TU

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

See also here.

Title: Probability theory IV

Lecturer: Deuschel, TU

Type: Lecture (2h)

Title: Stochastic processes in random media

Lecturer: Deuschel, TU

Type: Seminar (2h)

Title: Rough volatility, rough paths and related Topics

Lecturer: Friz, Bayer, TU

Type: Lecture (2h)

Title: Advanced stochastical analysis

Lecturer: Becherer, HU

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

Title: Branching processes and self-exciting point processes

Lecturer: Xu, 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.

**4. Discrete mathematics and optimization** Title: Advances in Extremal Combinatorics

Lecturer: Szabó, FU

Type: Seminar (2h)

See also here.

Title: Discrete mathematics II / Extremal combinatorics

Lecturer: Szabó, FU

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

See also here.

Title: Research seminar: Combinatorics

Lecturer: Szabó, FU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Traffic Optimization: Optimal Tours in Graphs

Lecturer: Lindner, FU

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

See also here.

Title: Seminar Combinatorial Optimization: Graph Decompositions

Lecturer: Lindner, FU

Type: Seminar (2h)

See also here.

Title: Optimization I

Lecturer: Borndörfer, FU

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

Title: Advanced algorithms

Lecturer: Mulzer, FU

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

Title: Research seminar: Discrete biomathematics

Lecturer: Siebert, FU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Seminar on algorithms

Lecturer: Hoffmann, FU

Type: Seminar (2h)

See also here.

Title: Metabolic networks

Lecturer: Bockmayr, FU

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

See also here.

Title: Convex optimization and applications (ADM III)

Lecturer: Sagnol, TU

Type: Lecture / tutorial (4h)

See also here.

Title: Recent developments in optimization methods and machine learning applications

Lecturer: Dvurechensky, HU

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

See also here.

Title: Mathematical optimization

Lecturer: Walther, HU

Type: Seminar (2h)

Title: Research Seminar: Mathematical optimization

Lecturer: Hintermüller, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

**5. Geometry, topology, and visualization**Title: Topology II

Lecturer: Reich, FU

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: Topology

Lecturer: Reich, FU

Type: Seminar (2h)

Title: Discrete geometry

Lecturer: Sinn, FU

Type: Seminar (2h)

Title: Discrete Geometry III

Lecturer: Beck, FU

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

Title: Research seminar: Discrete geometry

Lecturer: Sinn, FU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Research seminar: Geometric analysis

Lecturer: Ecker, FU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Discrete geometry II

Lecturer: Henk, TU

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

See also here.

Title: Discrete and convex geometry

Lecturer: Henk, TU

Type: Seminar (2h)

See also here.

Title: Harmonic mappings in the plane

Lecturer: Sète, TU

Type: Seminar (2h)

See also here.

Title: Geometry and Topology of Materials

Lecturer: Frank, TU

Type: Seminar (2h)

Title: Geometry III

Lecturer: Springborn, TU

Type: Lecture (4h)

See also here.

Title: Topology II

Lecturer: Kegel, HU

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

See also here.

Title: Geometric analysis and spectral theory

Lecturer: Mohnke, HU

Type: Research seminar (2h)

Please note that you cannot obtain credits from research seminars.

Title: Higher structures in geometry and moduli spaces

Lecturer: Yang, HU

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

See also here.

**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: Computational algebraic geometry

Lecturer: Haase, FU

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

See also here.

Title: Numerics IV (Advanced finite elements)

Lecturer: Gräser, FU

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

Title: Inside finite elements

Lecturer: Weiser, FU

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

See also here.

Title: Randomized linear algebra

Lecturer: Koltai, FU

Type: Seminar (2h)

See also here.

Title: Mathematical Modelling in Climate Research

Lecturer: Klein, FU

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

Title: Numerical mathematics

Lecturer: Nabben, TU

Type: Seminar (2h)

Title: Numerical linear algebra I

Lecturer: Liesen, TU

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

Title: Variational inequalities

Lecturer: Carstensen, HU

Type: Seminar (2h)

Title: Multidimensional calculus of variations

Lecturer: Mielke, HU

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

See also here.

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

Lecturer: Al-Afuni, FU

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

See also here.

Title: Advanced differential equations

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Advanced delay equations

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Bifurcations: Theory and applications

Lecturer: Fiedler, FU

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

See also here.

Title: Functional analysis II

Lecturer: Kutyniok, TU

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

Title: Differential-algebraic equations

Lecturer: Scholz, TU

Type: Lecture (4h)

See also here.

Title: Optimal control of partial differential equations

Lecturer: Farshbaf Shaker, TU

Type: Lecture / tutorial (4h)

See also here.

Title: Applied analysis

Lecturer: Zwicknagl, HU

Type: Seminar (2h)

Title: Nonlinear functional analysis and weak convergence

Lecturer: Zwicknagl, HU

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

Title: Mathematical modeling of hysteresis effects

Lecturer: Klein, HU

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

**8. Mathematics of data science**Title: Mathematics of deep learning

Lecturer: Kutyniok, TU

Type: Lecture (4h)

Title: Functional analysis and data science

Lecturer: Kutyniok, TU

Type: Lecture (4h)

Title: High-dimensional probability with applications to data science

Lecturer: Stollenwerk, TU

Type: Lecture (2h)

Title: Discrete optimization and machine learning

Lecturer: Pokutta, TU

Type: Lecture (2h)

See also here.

Title: Scientific computing

Lecturer: Fuhrmann, TU

Type: Lecture (4h)

See also here.

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

below.