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Below please find a selection of Advanced Courses for the summer semester 2011.
1. Differential geometry, global analysis, and topology
Title: Geometry II: Discrete differential geometry
Lecturer: Alexander I. Bobenko
Type: lecture (4h) + exercises (2h)
Title: Symplectic geometry
Lecturer: Klaus Mohnke
Type: lecture (2h) + exercises (2h)
Title: Spin geometry
Lecturer: Christian Bär
Type: lecture (4h) + exercises (2h) Title: Topology III
Lecturer: Holger Reich, Elmar Vogt
Type: lecture (2h) + exercises (2h) + seminar (2h) Title: Metric comparison geometry
Lecturer: John M. Sullivan
Type: lecture (4h) Title: Mathematical visualization
Lecturer: John M. Sullivan
Type: lecture (4h) + exercises (2h)
2. Algebra and number theory, algebraic and arithmetic geometry
Title: Algebraic curves and their moduli spaces
Lecturer: Gavril Farkas
Type: lecture (4h) + exercises (2h) Title: Applied algebraic geometry
Lecturer: Bernd Sturmfels
Type: lecture (2h)
Title: Algebraic geometry
Lecturer: Tobias Finis
Type: lecture (2h)
3. Probability theory and financial mathematics
Title: Mathematical statistics
Lecturer: Markus Reiß
Type: lecture (4h) + exercises (2h) Title: Markov processes and stochastic differential equations
Lecturer: Ehrhard Behrends
Type: lecture (4h) + exercises (2h)
Title: Financial mathematics II
Lecturer: Peter Bank
Type: lecture (4h) + exercises (2h) Title: Computational finance
Lecturer: Antonis Papapantoleon
Type: lecture (2h) Title: Introduction to the Stochastic Filtering Theory and its Applications
Lecturer: Pavel Gapeev
Type: lecture (2h) Title: Affine processes
Lecturer: Martin Keller-Ressel
Type: lecture (2h) 4. Discrete mathematics and discrete geometry
Title: Discrete geometry
Lecturer: Günter Rote
Type: lecture (2h) + exercises (2h) Title: Geometry of cuts and metrics
Lecturer: Martin Grötschel
Type: lecture (2h) Title: Cuts, metrics and matroids
Lecturer: Martin Grötschel
Type: seminar (2h)
Title: Discrete optimization
Lecturer: Martin Skutella
Type: seminar (2h)
5. Linear, nonlinear and combinatorial optimization
Title: Discrete optimization
Lecturer: Martin Skutella
Type: seminar (2h) Title: Advanced algorithms II
Lecturer: Helmut Alt
Type: lecture (4h) + exercises (2h)
6. Numerical analysis, scientific computing, and visualization
Title: Adaptive finite element methods
Lecturer: Carsten Carstensen
Type: lecture (4h) + exercises (2h)
Title: Realization of finite elements
Lecturer: Martin Weiser
Type: lecture (4h) + exercises (2h) Title: Numerics of partial differential equations
Lecturer: Kersten Schmidt
Type: lecture (4h) + exercises (2h) Title: Theory of differential algebraic equations
Lecturer: Christian Schröder
Type: lecture (4h) + exercises (2h) Title: Theory of Krylov subspace methods
Lecturer: Jörg Liesen
Type: lecture (2h)
Title: Mathematical drug design
Lecturer: Peter Deuflhard, Konstantin Fackeldey, Susanna Röblitz, Marcus Weber
Type: project seminar (2h)
7. Applied analysis, mathematical physics, and dynamical systems
Title: Mathematical physics II
Lecturer: Jurij B. Suris
Type: lecture (4h) + exercises (2h)
Title: Introduction to spectral theory of differential operators
Lecturer: Jochen Brüning
Type: lecture (4h) + exercises (2h)
Title: Dynamical systems III (aka Differential Equations III)
Lecturer: Berndold Fiedler, Stefan Liebscher
Type: lecture (4h) + exercises (2h) Title: Geometry of the standard model
Lecturer: Christoph Stephan
Type: lecture (2h) + exercises (2h) Title: Applied partial differential equations
Lecturer: Alan Rendall
Type: lecture (2h) Title: Bifurcation theory
Lecturer: Berndold Fiedler, Stefan Liebscher
Type: seminar (2h)
Title: Introduction to spectral theory of differential operators
Lecturer: Jochen Brüning
Type: seminar (2h)
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