These are the Advanced Courses for the summer semester 2018.

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

Title: Mathematical physics and differential geometry

Lecturer: Bobenko, TU

Type: Seminar (2h)

Title: Geometric analysis

Lecturer: Ecker, FU

Type: Seminar (2h)

See also here.

Title: Topics in geometric evolution equations

Lecturer: Ecker, FU

Type: Lecture (2h)

See also here.

Title: Introduction to the general relativity

Lecturer: Afuni, FU

Type: Lecture (2h)

See also here.

Title: Differential geometry

Lecturere: Afuni, FU

Type: Seminar (2h)

See also here.

Title: Mathematical physics II

Lecturer: Petrera, TU

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

Title: Riemann surfaces

Lecturer: Krämer, HU

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

See also here.

Title: Advanced quantum field theory

Lecturer: Kreimer, HU

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

See also here.

Title: Prescribed mean curvature submanifolds

Lecturer: Müller, HU

Type: Seminar (2h)

See also here.

**2. Algebraic and arithmetic geometry, number theory**

Title: Introduction to algebraic statistics

Lecturer: Sturmfels, TU

Type: Lecture (2h)

See also here.

Title: Invariant theory: computational and geometric aspects

Lecturer: Bürgisser, TU

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

Title: Effectiv methods in algebraic geometry

Lecturer: Bürgisser, TU

Type: Seminar (2h)

Title: Algebra and geometry

Lecturer: Filip, FU

Type: Seminar (2h)

Title: Quadratic forms

Lecturer: Zhang, FU

Type: Seminar (2h)

See also here.

Attention: Change of dates. See link above. (Update: 11.4.18)

Title: Research seminar algebra

Lecturer: Altmann, FU

Type: Seminar (2h)

Title: Algebra

Lecturer: Altmann, FU

Type: Seminar (2h)

Title: Polytopes and algebraic geometry

Lecturer: Haase, FU

Type: Seminar (2h)

Titel: Seminar on polytopes, lattices and algorithms

Lecturer: Haase, FU

Type: Seminar (2h)

Title: Number theory II

Lecturer: Esnault, FU

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

Title: Arithmetic geometry

Lecturer: Esnault, FU

Type: Seminar (2h)

Title: Selected topics from arithmetic geometry

Lecturer: Esnault, FU

Type: Seminar (2h)

Title: Basic concepts of arithmetic geometry

Lecturer: Esnault, FU

Type: Seminar (2h)

Title: Algebraic K-Theory

Lecturer: Klingler, HU

Type: Seminar (2h)

Title: Adic spaces

Lecturer: Große-Klönne, HU

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

See also here.

Title: Galois theory of linear differential equations

Lecturer: Lehalleur, FU

Type: Seminar (2h)

See also here.

Title: Representation theory for symmetric groups

Lecturer: Hoskins, FU

Type: Seminar (2h)

**3. Stochastics and mathematical finance**

Title: Stochastic processes in evolution

Lecturer: Blath, TU

Type: Lecture (2h)

Title: Spatial stochastic models for telecommunications

Lecturer: König, TU

Type: Seminar (2h)

See also here.

Title: Extreme value theory

Lecturer: Kurt, TU

Type: Seminar (2h)

Note: Primary source is in german.

Title: Spatial stochastic models for telecommunications

Lecturer: König, TU

Type: Lecture (2h)

See also here.

Title: Financial mathematics II

Lecturer: Bank, TU

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

See also here.

Title: Stochastic models in neuroscience

Lecturer: Stannat, TU

Type: Seminar (2h)

Title: Stochastic partial differential equations

Lecturer: Stannat, TU

Type: Lecture (2h)

Title: Uncertainty quantification

Lecturer: Sullivan, FU

Type: Seminar (2h)

See also here.

Title: Topics in statistics and probability

Lecturer: Reiß, HU

Type: Seminar (2h)

Title: Mathematical statistics

Lecturer: Reiß, HU

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

Title: Stochastic control theory

Lecturer: Horst, HU

Type: Seminar (2h)

Title: Stochastic

Lecturer: Scheutzow, TU

Type: Seminar (2h)

Title: Stochastical mathematical finance II

Lecturer: Bielagk, HU

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

Title: Multidimensional calculus of variations

Lecturer: Liero, HU

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

Title: Rough Analysis and Quantitative Finance

Lecturer: Friz, TU

Type: Seminar (2h)

Title: Computational topology

Lecturer: Lutz, TU

Type: Lecture (2h)

**4. Discrete mathematics and optimization**

Title: Computational integer programming

Lecturer: Koch, TU

Type: Seminar (2h)

See also here.

Title: Graphs, algorithms and optimization

Lecturer: Mütze, TU

Type: Seminar (2h)

Title: Optimization III

Lecturer: Borndörfer, FU

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

See also here.

Title: Variants of shortest path problems

Lecturer: Borndörfer, FU

Type: Seminar (2h)

See also here.

Title: Mathematical aspects of transportation networks

Lecturer: Lindner, FU

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

See also here.

Title: Constructive combinatorics

Lecturer: Szabó, FU

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

Title: Combinatorics

Lecturer: Szabó, FU

Type: Seminar (2h)

Title: Structural graph theory

Lecturer: Felsner, TU

Type: Seminar (2h)

Title: Graphs and geometry

Lecturer: Felsner, TU

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

Title: Discrete geometry II

Lecturer: Felsner, TU

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

Title: Theory and methods in nonsmooth optimization

Lecturer: Kröner, HU

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

See also here.

Title: Optimization

Lecturer: Kröner, HU

Type: Seminar (2h)

See also here.

**5. Geometry, topology, and visualization**

Title: Convex and discrete geometry

Lecturer: Henk, TU

Type: Seminar (2h)

Title: Mathematical visualization II

Lecturer: Pinkall, TU

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

Title: Convex geometry II

Lecturer: Malikiosis, TU

Type: Lecture (4h)

See also here.

Title: Topology II

Lecturer: Blagojević, FU

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

See also here.

Title: Introduction to visualization

Lecturer: Polthier, FU

Type: Seminar (2h)

See also here.

Title: Seminar on visualization

Lecturer: Polthier, FU

Type: Seminar (2h)

See also here.

Title: Discrete geometry

Lecturer: Ziegler, FU

Type: Seminar (2h)

See also here.

Title: Discrete geometry II

Lecturer: Sinn, FU

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

See also here.

Title: Topics in topology

Lecturer: Wendl, HU

Type: Seminar (2h)

See also here.

Title: Topology

Lecturer: Reich, FU

Type: Seminar (2h)

See also here.

**6. Numerical analysis and scientific computing**

Title: Numerical methods in fluid dynamics

Lecturer: John, FU

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

See also here.

Title: Mathematical modelling in climate research

Lecturer: Vercauteren, FU

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

Title: Scientific programming with python

Lecturer: Noé, FU

Type: Seminar (2h)

Note: In order to participate you need to register for the seminar.

Title: Scientific computing with python

Lecturer: Noé, FU

Type: Seminar (2h)

Note: In order to participate you need to register for the seminar.

Title: How to construct a rowing boat

Lecturer: Kornhuber, FU

Type: Seminar (2h)

Title: Mathematical software

Lecturer: Joswig, TU

Type: Seminar (2h)

Title: Numerics of stochastic processes

Lecturer: Kruse, TU

Type: Lecture (4h) + tutorials (1h)

See also here.

Title: Control theory

Lecturer: Mehrmann, TU

Type: Lecture (4h)

Title: Approximation theory

Lecturer: Zwicknagl, TU

Type: Lecture (2h)

Title: Calculus of variations

Lecturer: Zwicknagl, TU

Type: Seminar (2h)

Title: Matrix theory

Lecturer: Liesen, TU

Type: Lecture (2h)

See also here.

Title: Numeric partial differential equations II

Lecturer: Schneider, TU

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

Title: Numerical Mathematics: Numerical solution of initial value problems for port-Hamiltonian systems

Lecturer: Mehrmann, TU

Type: Seminar (2h)

Title: Numerical linear algebra II

Lecturer: Sète, TU

Type: Lecture (2h)

See also here.

Title: Multiscale methods in molecular simulations

Lecturer: Delle Site, FU

Type: Seminar (2h)

Title: Numerics of partial differential equations II

Lecturer: Carstensen, HU

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

Title: Selected topics of numerical mathematics

Lecturer: Carstensen, HU

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

Title: Numerics of partial differential-algebraic equations

Lecturer: Tischendorf, HU

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

**7. Applied analysis and differential equations**

Title: Highdimensional partial differential equations

Lecturer: Schneider, TU

Type: Seminar (2h

Title: Variational calculation and optimal control

Lecturer: Tröltzsch, TU

Type: Lecture (4h)

Title: Functional analysis

Lecturer: Werner, FU

Type: Seminar (2h)

Title: Convex analysis

Lecturer: Renger, TU

Type: Lecture (2h)

Title: Nonlinear dynamics

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Advanced differential equations

Lecturer: Fiedler, FU

Type: Seminar (2h)

Title: Partial differential equations

Lecturer: Ecker, FU

Type: Seminar (2h)

See also here.

Title: Differential equations – dynamical systems III

Lecturer: Ecker, FU

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

See also here.

Title: Mathematical physics of many-particle systems

Lecturer: Delle Site, FU

Type: Seminar (2h)

Title: Quantum computational methods

Lecturer: Delle Site, FU

Type: Seminar (2h)

Title: Differential equations III

Lecturer: Kreusler, TU

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

Title: Besov spaces and interpolation of banach spaces

Lecturer: Kreusler, TU

Type: Lecture (2h)

Title: Dynamical systems in neuroscience

Lecturer: Yanchuk, TU

Type: Lecture (2h)

Note: See also here.

Title: Nonlinear dynamics and their applications II

Lecturer: Yanchuk, TU

Type: Lecture (2h)

Note: See also here.

Title: Applied dynamical systems

Lecturer: Yanchuk, TU

Type: Seminar (2h)

Title: Optimization of partial differential equations

Lecturer: Hintermüller, HU

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

Title: Complex dynamics in fluids

Lecturer: Höfling, FU

Type: Lecture (2h)

Title: Semigroups of linear operators

Lecturer: Kmit, HU

Type: Seminar (2h)

See also here.

**8. Mathematics of data science**

Title: Functional analysis and data science

Lecturer: Kutyniok, TU

Type: Seminar (2h)

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

Lecturer: Gurevich, FU

Type: Lecture (2h)

See also here.

Title: Deep learning

Lecturer: Noé, FU

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

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

below.