Teaching and research of the faculty is characterised by a broad spectrum of Mathematics. Represented areas: Algebra, Representation Theory, Theory of Numbers, Geometry, Topology, Harmonious Analysis, Combinatorics, Applied Analysis, Numerical Mathematics, Mathematical Biology, Mathematical Physics, Theory of Probability/Stochastics, Statistics, Stochastic Analysis and Didactics of Mathematics.

Université Panthéon-Sorbonne, Paris I, Frankreich; Université Pierre et Marie Curie, Paris VI, Frankreich; Aix-Marseille Université, Frankreich; Aristoteles Universität Thessaloniki, Griechenland; ; Università degli studi di Padova, Italien; Universität Vilnius, Litauen; Stockholm University, Schweden; Seoul National University, Südkorea; Universidad de Granada, Spanien; Universitat Autonoma de Barcelona, Spanien.

The faculty has its own computer laboratories which can be used by students.

DFG Collaborative Research Centre "Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics, and their applications" (total funding: more than 2 million Euro per year); DFG International Research Training Group "Searching for the regular in the irregular: Analysis of singular and random systems" (with Seoul); Alexander von Humboldt professorship (Prof. W. Crawley-Boevey, ERC grant (Prof. Hofmanova); further interdisciplinary cooperation, e.g. with IMW: Institute of Mathematical Economics (IMW), FSPM²: research focus of mathematical modelling.

Study centre of the departmental student organisation for student joint work; Small group model: Tutorials are held in small groups of approx. 20 people under guidance of a student or academic assistant; The choice of assistant is made centrally via a tutorial commission on the basis of teaching evaluations; The tutorial leaders are qualified as part of the faculty's own tutor training; Quality of teaching: for all courses (from 10 participants) there is an evaluation, which is published internally within the faculty; Quality of teaching: for all courses (at least 10 participants) there is an teaching evaluation, which is published internally within the faculty.