Mathematical analysis
Department of Mathematics and Statistics is responsible for one of the core research areas of the faculty – Mathematical analysis. A major strength of mathematics research is analysis, and it has a long tradition in the JYU Department of Mathematics and Statistics. The research of mathematical analysis is concentrated on non-linear partial differential equations, geometric analysis and geometric measure theory. The study of inverse modelling and imaging combines different fields of science, and it can be used in, among other areas, electronic and seismic imaging.
The Department of Mathematics and Statistics is involved in the Academy of Finland Centre of Excellence of Inverse Modelling and Imaging, coordinated by the University of Helsinki. Department has ranked also as one of the top mathematical institutions in Finland in international comparisons, such as ShanghaiRanking's Global Ranking of Academic Subjects.
The theory of partial differential equations is a part of mathematical analysis. It is useful in, for example, financial mathematics as well as in different fields of engineering and physics, such as mechanics, electricity and quantum mechanics.
Geometric analysis is a domain of mathematical analysis that applies geometric methods to yield results that can be interpreted in terms of geometry. Research in this area has connections and applications with many different domains of mathematics, such as differential geometry, partial differential equations, geometric topology, and geometric group theory.
Research on inverse problems is a multidisciplinary field which concentrates on the mathematical theory and practical implementation of indirect measurements. Research at the Ä¢¹½Ö±²¥ focuses especially on the mathematical models of electronic and Earth imaging. This research field also has applications in medical imaging, such as X-ray tomography and ultrasonography. In addition, large-scale applications can be found in seismic research, which studies earthquakes and movement of the earth’s crust.
Science education and support for learning mathematics and statistics in a variety of ways is one of the goals. Collaboration in teaching and research generates new solutions to societal challenges.
The Department of Mathematics and Statistics is involved in several international networks and collaborates with various universities.
Our research and teaching in mathematics has an important societal impact. We seek cooperation related to teaching and research that can yield new solutions to societal challenges. If you have a proposal for a new cooperation idea, please get in touch!
The Department of Mathematics and Statistics trains top experts whose skills will play a key role in the development of a digital society.