1. Differential geometry, global analysis, and topology

Title: Geometry - index theory
Lecturer: Christian Bär
Type: seminar

Title: Symplectic topology
Lecturer: Klaus Mohnke
Type: lecture (4h)


2. Algebra and number theory, algebraic and arithmetic geometry

Title: Current topics in the theory of modular forms
Lecturer: Jürg Kramer
Type: lecture (2h)

Title: Algebraic geometry II - Algebra III
Lecturer: Klaus Altmann
Type: lecture (4h) + tutorial (2h)

Title: Introduction to algebraic K-theory
Lecturer: Elmar Vogt
Type: lecture (4h) + tutorial (2h)

Title: Rational curves on manifolds and mori theory
Lecturer: Jaroslaw Wisniewski
Type: lecture (2h) + tutorial (2h)


3. Probability theory and financial mathematics

Title: Optimal transportation and robust hedging
Lecturer: Martin Keller-Ressel
Type: seminar (2h)

Title: Lévy processes
Lecturer: Antonis Papapantoleon
Type: lecture (2h)

Title: Stochastic analysis - Wahrscheinlichkeitstheorie IV
Lecturer: Jean-Dominique Deuschel
Type: lecture (4h)


4. Discrete mathematics and discrete geometry

Title: Hyberbolic polyhedra
Lecturer: Igor Rivin
Type: block course

Title: Discrete mathematics II
Lecturer: Tibor Szabó
Type: lecture (4h) + tutorial (2h)

Title: Combinatorial reciprocity theorems
Lecturer: Raman Sanyal
Type: lecture (2h) + tutorial (2h)

Title: Equivariant topological combinatorics
Lecturer: Pavle Blagojevic
Type: lecture (2h) + tutorial (2h)

Title: Proof techniques in polyhedral combinatorics
Lecturer: Martin Grötschel
Type: seminar (2h)

Title: Stochastic network calculus
Lecturer: Florin Ciucu
Type: lecture (2h) + tutorial (2h)

Title: Graph theory
Lecturer: Stefan Felsner
Type: lecture (4h) + tutorial (2h)


5. Linear, nonlinear and combinatorial optimization

Title: Mathematical programs subject tonequilibrium constraints
Lecturer: Michael Hintermüller
Type: lecture (2h) + tutorial (1h)

Title: Computational Integer Programming - ADM III
Lecturer: Ralf Borndörfer
Type: lecture (4h)


6. Numerical analysis, scientific computing, and visualization


Title: Scientific visualization
Lecturer: Eugene Zhang
Type: lecture (4h) + tutorial (2h)

Title: Mathematical modeling and numerics in climate research - Numerik IVa
Lecturer: Rupert Klein
Type: lecture (4h) + tutorial (2h)

Title: Simulation and optimization of processes in fluid mechanics - Numerik IVb
Lecturer: Volker John
Type: lecture (4h) + tutorial (2h)

Title: Numerical linear algebra
Lecturer: Christian Schröder
Type: lecture (2h) + tutorial

Title: Computational PDE I - Numerik partieller Differentialgleichungen I
Lecturer: Carsten Carstensen
Type: lecture (4h) + tutorial (2h)

Title: Differential algebraic equations (DAE)
Lecturer: Christian Mehl
Type: lecture (4h)

Title: Signal and image processing
Lecturer: Gitta Kutyniok
Type: lecture (4h) + tutorial (2h)


7. Applied analysis, mathematical physics, and dynamical systems

Title: Mathematical physics I
Lecturer: Matteo Petrera
Type: lecture (4h) + tutorial (2h)

Title: Introduction to quantum field theory I
Lecturer: Dirk Kreimer
Type:
lecture (2h) + tutorial (2h)

Title: The Index theorem and its applications in mathematical physics
Lecturer: Jochen Brüning
Type: lecture (4h) + tutorial (2h)

Title: Introduction into quantum field theory
Lecturer: Dirk Kreimer
Type:
lecture (2h) + tutorial (2h)

Title: Nonlinear partial differential equations
Lecturer: Dorothee Knees
Type: lecture (2h)

Title: Asymptotic analysis: Theory and methods
Lecturer: Barbara Wagner
Type: lecture (2h) + tutorial (2h)