International Master´s program
Advanced Pure Mathematics

Master's program Advanced and Computational Mathematics

Specialization in Advanced Pure Mathematics
1. sem. Levelling up course 5 ECTS
One Basic Course from:
Algebraic Geometry, Algebraic Topology,
Differential Geometry, Fourier Analysis, Functional Analysis II,
Geometric Analysis, Stochastic Analysis, Stochastic Processes		 One Basic Course from:
Inverse Problems, Numerical Methods for
ODEs, Numerical Methods for PDEs, Numerical Linear Algebra,
Numerical Optimization		 One Basic Course from:
Introduction to Data Science, Mathematical
Foundation of Learning Theory, Mathematical Methods for
Uncertainty Quantification, Matrix Methods in Data Science		 24 ECTS
2. to 3. sem. 4-5 courses to be chosen out of: 38 ECTS
Algebraic Geometry; Algebraic Topology; Complex Geometry; Differential Geometry; Dirichlet Forms, Markov Processes, and Semigroups; Fourier Analysis; Fractals; Functional Analysis II; Geometric Analysis; Graph Theory; Harmonic Analysis; Hilbert Space Methods; Mathematical Foundation of Learning Theory; Stochastic Analysis; Stochastic Processes; Times Series Analysis
3. sem. Research Seminar 8 ECTS
4. sem. Master's Thesis 30 ECTS
1. to 3. sem. Language Courses
German (at least level A2), Optional language courses		 15 ECTS
A more detailed description of the content of each course offered within this program can be found on the Course content website.
Students with excellent results in their Master's 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.