Mathematical algorithms play an important role in our highly technologized daily life and show that mathematics is more then just formulas and exhausting theory. Mathematics also means experimenting and gaining knowlegde by trial and error. The aim of the Sparkling Science research project EMMA is to work in close cooperation with students to develop aspects of mathematical algorithmic by means of two ongoing research projects with focus on algorithmic questions.The focus of this cooperation will be on computer experimentations to be carried out in large part by the students,thus forming an important bridge between the students and the involved researchers. This will enable the students to directly participate in the research activities and to provide a valuable contribution. The object of research will be provided by two ongoing research projects in numerical mathematics and in discrete mathematics, which meet modern standards of mathematical sciences. In the first research project numerical solution schemes for variational inequalities are developed and analyzed, the second research project is from the field of discrete mathematics and addresses elliptic curves with high rank and Diophantine tuples. Applications of the research projects can be found for example in crash simulations and data encryption. The cooperation with the students at the affiliated school HTL Braunau is organized on the basis of the optional course “University Mathematics”, which provides the theoretical basic knowledge and will help establish a concrete framework for the cooperation with the students.
EMMA is founded by the research programme “Sparkling Science”.