At present, about 1700 students are enrolled at the **Faculty of Mathematics
and Physics** in Bachelor of Science, Master of Science and Master of Education
study programmes. Moreover, the faculty contributes to the curricula of many
other faculties, most notably Computer Science, Microsystems Engineering,
Medicine, Biology, Chemistry, Pharmacology, and Geoscience.

The main areas of research at the **Institute of Mathematics** are:
algebra, number theory, geometry, analysis, model theory, algorithmic logic,
theory and numerics of partial differential equations, and, finally,
stochastics and financial mathematics. The section for didactics of mathematics
is a special teaching unit providing practical skills for teachers. The
Institute of Mathematics hosts the DFG (German Research Foundation) research
training group ‘Cohomological Methods in Geometry’.

The **Institute of Physics** hosts the DFG research training group ‘Mass
and Symmetries after the Discovery of the Higgs Particle at the LHC’ (RTG
2044), the international research training groups ‘Cold Controlled Ensembles in
Physics and Chemistry’ (IRTG 2079) and ‘Soft Matter Science: Concepts for the
Design of Functional Materials’ (IRTG 1642)

Research Topics at the Institute of Physics: A **strong atomic and
molecular physics** group, with expertise ranging from mathematical physics
over ion trap, Bose-Einstein condensation and Rydberg physics to femtosecond
spectroscopy of macro-molecular structures, together with the sun physics
group, strongly relies on light-matter-interaction for the detailed analysis of
complex structures and transport processes on very diverse scales. Classical
and quantum theory of complex systems, with a strong computational component,
join with experimental polymer science, nano-magnetism and photovoltaic
research in the broad context of **condensed matter and applied
physics.**

The Institute of Physics has strong and internationally very visible
**experimental and theoretical particle physics groups**. The experimental
programme is focussed on experiments at the European Centre for particle
physics, CERN, in Geneva/Switzerland. Physicists from the institute have
contributed significantly to the discovery of the Higgs boson via their strong
involvement in the ATLAS experiment. Another research line is the direct search
for dark matter with low-background detectors. The activities in particle
theory range from precision studies of the strong and electroweak interactions
over quantum-field-theoretical aspects to the exploration of model extensions
with new theoretical structures.

The **Faculty of Mathematics and Physics** has close connections to the
Kiepenheuer Institute for Solar Physics and to various institutes of the
Fraunhofer Gesellschaft such as the Institute for Solar Energy Systems ISE, the
Institute for Applied Solid-State Physics IAF, the Institute for Physical
Measurement Techniques IPM and the Institute for Mechanics of Materials IWM.
Moreover, the faculty contributes to the university's interdisciplinary
research centres for materials research, for data analysis and modeling, and
for biosystems analysis.