The research focus **Discrete Mathematics and Analysis** comprises a large portfolio of topics which range from Combinatorics, Graph theory, stochastics, discrete optimisation, analysis of algorithms, applied and computer assisted geometry, and operator theory to modelling problems in economics and technology. It also comprises number theory and its applications in financial mathematics, coding, cryptography and statistical simulation

With respect to the research focus **Computational Science and Engineering**, key research areas of the Mathematics department are partial differential equations, numeric methods, dynamic systems, constructive approximation, statistics, and financial mathematics. The mathematics institutes collaborate intensively with other faculties of the Graz University of Technology in the areas of robotics, signal processing, big data, mechanical and electrical engineering.

The scientific work of this department is integrated into the Field of Expertise** Information, Communication and Computing** at Graz University of Technology. Other research highlights include the **doctoral school Discrete Mathematics** and work groups participating in the SFB (special research area) **Quasi Monte Carlo Methods – Theory and Applications**. International networking in the framework of guest professorships and the regular exchange of visiting researchers is an essential feature of this faculty.

Teaching at the Mathematics department

**Institutes of Mathemathics:**