An **overview** of all Advanced Courses in the winter semester 2016/17.

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

Lecturer: Mohnke/Wendl, HU

Type: Seminar (2h)

Title: Integrable systems

Lecturer: Petrera, TU

Type: Lecture (4h)

Title: Number theory III

Lecturer: Esnault, FU

Type: Lecture (4h)

Title: h-Principle

Lecturer: Wendl, HU

Type: Seminar (2h)

See also here.

Title: Riemann surfaces

Lecturer: Viazovska, HU

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

See also here.

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

Lecturer: Altmann, FU

Type: Seminar (2h)

Title: Algebra III

Lecturer: Bürgisser, TU

Type: Lecture (2h)

Title: Algebra

Lecturer: Bürgisser, TU

Type: Seminar (2h)

Title: Methods for discrete structures

Lecturer: Bürgisser, TU

Type: Lecture (2h)

Title: Mathematics and the philosophy of infinity

Lecturer: Hauser, TU

Type: Seminar (2h)

Title: Introduction to cryptography

Lecturer: Kindler, FU

Type: Seminar (2h)

See also here.

Title: Hopf algebras: renormalization and the renormalization group

Lecturer: Kreimer, HU

Type: Seminar (2h)

Title: Algebraic curves and the Weil-conjecture

Lecturer: Rülling, HU

Type: Seminar (2h)

See also here.

Title: Algebraic geometry II

Lecturer: Gounelas, HU

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

See also here.

Title: Galois theory

Lecturer: Castañeda, FU

Type: Seminar (2h)

Title: C*-Algebras

Lecturer: Keller, UP

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

See also here.

Title: Algebraic number theory

Lecturer: Schmitt, FU

Type: Seminar (2h)

See also here.

Title: Étale cohomology

Lecturer: Zhang, FU

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

See also here.

Title: Linear codes

Lecturer: Kelly, FU

Type: Seminar (2h)

**3. Probability, statistics, and financial mathematics**Title: Bayesian inverse problems

Lecturer: Schillings, HU

Type: Seminar (2h)

See also here.

Title: Random graphs

Lecturer: Kreher, HU

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

See also here.

Title: Stochastic processes and its applications

Lecturer: Blath, TU

Type: Seminar (2h)

Title: Stochastic models in neuroscience II

Lecturer: Stannat, TU

Type: Lecture (2h)

Title: Stochastic models in neuroscience

Lecturer: Stannat, TU

Type: Seminar (2h)

Title: Probability IV

Lecturer: Stannat, TU

Type: Lecture (2h)

Title: Topics in rough paths and regularity structures

Lecturer: Friz, TU

Type: Lecture (2h)

Title: Topics in stochastic

Lecturer: Höfling, FU

Type: Lecture (2h)

Title: Stochastic finance

Lecturer: Bank, TU

Type: Seminar (2h)

Title: Levy processes and Levy driven SDEs

Lecturer: Kulik, TU

Type: Lecture (2h)

See also here.

Title: Diffusions and Levy-type processes: an analytic approach

Lecturer: Kulik, TU

Type: Lecture (2h)

See also here.

Title: Stochastic approximation and Monte Carlo methods for diffusions and Levy driven processes

Lecturer: Kulik, TU

Type: Seminar (2h)

See also here.

Title: Stochastic PDEs

Lecturer: Hofmanova, TU

Type: Lecture (2h)

Title: Stochastic PDEs

Lecturer: Hofmanova, TU

Type: Seminar (2h)

Title: Markov processes and metastability

Lecturer: Slowik, TU

Type: Lecture (2h)

**4. Discrete mathematics and combinatorial optimization**Title: Convex optimization

Lecturer: Sagnol, FU

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

See also here.

Title: Approximation algorithms

Lecturer: Skutella, TU

Type: Lecture (4h)

See also here.

Title: Algorithmic discrete mathematics

Lecturer: Skutella, TU

Type: Seminar (2h)

Title: Selected topics in combinatorics: algorithms and geometry

Lecturer: Felsner, TU

Type: Seminar (2h)

See also here.

Title: Seminar for discrete mathematics III

Lecturer: Szabo, FU

Type: Seminar (2h)

Title: Structural graph theory

Lecturer: Micek, FU

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

See also here.

Title: Selected topics in bilevel optimization

Lecturer: Koch, TU

Type: Seminar (2h)

See also here.

**5. Geometry, topology and visualisation**

Title: Discrete geometry I

Lecturer: Blagojevic, FU

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

Title: Discrete geometry III

Lecturer: Blagojevic, FU

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

Title: Discrete geometry

Lecturer: Ziegler, FU

Type: Seminar (2h)

Title: Convex geometry I

Lecturer: Henk, TU

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

See also here.

Title: Discrete and convex geometry

Lecturer: Henk, TU

Type: Seminar (2h)

See also here.

Title: Arithmetics and topology

Lecturer: Esnault, FU

Type: Seminar (2h)

Title: Discrete geometry I

Lecturer: Blagojevic, FU

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

Title: Homological algebra

Lecturer: Reich, FU

Type: Seminar (2h)

**6. Numerical analysis and scientific computing**Title: Transfer operators and applications

Lecturer: Koltai, FU

Type: Seminar (2h)

See also here.

Title: Optimal control of PDEs

Lecturer: Tröltzsch, TU

Type: Lecture (4h)

Title: Uncertainty quantification

Lecturer: Sullivan, FU

Type: Seminar (2h)

See also here.

Title: Numerical linear algebra

Lecturer: Liesen, TU

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

Title: Tensorpoductapproximation in uncertainty quantification

Lecturer: Schneider, TU

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

Title: Tensorpoductapproximation

Lecturer: Schneider, TU

Type: Seminar (2h)

Title: Model order reduction

Lecturer: Schröder, TU

Type: Lecture (4h)

See also here.

Title: Mathematical modeling in climate science

Lecturer: Klein, TU

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

See also here.

Title: Soft matter: mathematical aspects, physical modeling and computer simulation

Lecturer: Delle Site, FU

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

Title: Higher-order theorem proving

Lecturer: Steen, FU

Type: Seminar (2h)

See also here.

**7. Applied analysis and differential equations**Title: Bifurcation theory and applications

Lecturer: Kmit, HU

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

Title: Asymptotic analysis II

Lecturer: Nesenenko, TU

Type: Lecture (4h)

Title: Functional analysis II

Lecturer: Petersen, TU

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

Title: Applied harmonic analysis: time-frequency analysis

Lecturer: Petersen, TU

Type: Seminar (2h)

Title: Energy based modeling with port hamiltonian systems

Lecturer: Mehrmann, TU

Type: Seminar (2h)

Title: Highdimensional PDEs

Lecturer: Schneider, TU

Type: Seminar (2h)

Title: Differential-algebraic equations

Lecturer: Scholz, TU

Type: Lecture (4h)

See also here.

Title: Evolutionary gamma-convergence in continuum mechanics

Lecturer: Thomas, HU

Type: Seminar (2h)

Title: Transfer operators and application

Lecturer: Koltai, HU

Type: Seminar (2h)

Title: Methods from functional analysis in classical physics

Lecturer: Stephan, HU

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

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