Mathematics is a basic technology of our society and offers a reservoir of models for the natural, engineering and economic sciences. The faculty is characterized by the great diversity of its fields of work. These include analysis, algebra, geometry, topology, numerical mathematics, stochastics, computer science, cryptography, mathematical physics and the didactics of mathematics. The scientists of the faculty participate in numerous research, in a graduate college and in two special research areas. The faculty also has a mentoring program: first-year students receive a mentor from the group of lecturers and research assistants. At regular meetings, they discuss problems and development opportunities during their studies together.
The various areas of mathematics are divided into three groups according to content and methodological aspects, hereinafter referred to as areas:
Area 1 (Analysis): e. g. differential geometry, dynamic systems, function theory, functional analysis, measure theory and probability theory, partial differential equations, differential topology
Area 2 (Algebra): e. g. algebra, algebraic geometry, number theory, topology, group theory, representation theory, discrete mathematics, theoretical computer science
Area 3 (Applied mathematics): e. g. mathematical statistics, numerical mathematics, practical computer science, cryptology