Jump to main content
International Master and Ph.D. program
Advanced Theoretical Mathematics

Master program (Advanced Theoretical Mathematics)

1. to 2. sem. Basic courses
Analytic Methods
Distributions and Differential Operators
Hilbert Space Methods
Algebraic and Geometric Methods
Algebraic and Differential Geometry
Topology and Complex Geometry
Stochastic Models
Stochastic Analysis
Stochastic Processes
Discrete and Algorithmic Aspects
Discrete Optimization
Computer Algebra
3. to 4. sem. Applications and Specialization
Optimization with PDEs, Optimization under Uncertainty, Randomized Algorithms and Online Optimization, Combinatorial Optimization, Infinite-Dimensional Optimization 18 ECTS
Inverse Problems, Regularization Theory and Practice, Fast solvers for PDEs, Model Reduction, Fourier Analysis, Introduction to Wavelets, Analysis and Numerics of Integral Equations, Hilbert Space Methods, Boundary Integral Methods, Orthogonal Polynomials, Distributions and Differential Operators
Time Series Analysis, Quantitative Finance, Asymptotic and Extreme Value Statistics, Mathematical Methods of Uncertainty Quantification, Methods of Algebraic Statistics
Graph Theory, Singularity Theory, Game Theory, Mathematics of Big Data, Algebraic Geometry, Convex and Toric Geometry, Low-dimensional geometry and topology
3. to 4. sem. 3 Research Seminars and/or Summer schools 12 ECTS
3. to 4. sem. Master Thesis 30 ECTS
1. to 4. sem. Minor in
Mechanical Engineering, Electrical Engineering and Information Technology, Computer Science, Economics and Business Administration
A more detailed description of the content of each course offered within this program can be found here.

Ph.D. program

Students with excellent results in their Master degree qualify for the Ph.D. program. The Ph.D. program places particular importance on developing the ability to conduct self-reliant scientific work. Next to the immersion in the field of specialization, Ph.D. students are encouraged to attend respective lectures and seminars on latest research and actively participate in research group work.
6. to 10. sem. Research for Ph.D. thesis
6. to 10. sem. Seminars, additional lectures