Master of Science in Mathematics

Institute of Algebra, Number Theory, and Discrete Mathematics: representation theory, arithmetic number theory, reflection groups and arrangements of hyperplanes

Institute of Algebraic Geometry: algebraic surfaces, Calabi-Yau manifolds and their moduli, mirror symmetry, modular forms, singularity theory

Institute of Analysis: partial differential equations on manifolds with geometric singularities, spectral geometry, geometric and deformation quantisation, noncommutative geometry and operator algebras, sub-Riemannian geometry, mathematical statistics

Institute of Applied Mathematics: applied analysis, formation of mathematical models, optimisation, numerical analysis and scientific computing

Institute of Differential Geometry: geometric flow equations, symplectic geometry, Kaehler and hyperkaehler geometry, gauge theory

Institute of Actuarial and Financial Mathematics: stochastical analysis, actuarial and financial mathematics, probability theory