Geometry and its applications

Broadly understood, geometry has ramifications in most fields of science, from the topological properties of cosmic mass distribution to the fundamental structure of matter. The study of the geometry of random structures has increased tremendously in importance due to the growing pervasiveness of highly connected and fast evolving social and biological networks, and the role they play in phenomena such as the spread of news and epidemics. Apart from these (and other, e.g., in data security and storage) applications, lots of fundamental geometric theory is still developed; often but not exclusively motivated by relations with other areas of science.

“Geometry and its applications” is central within Mathematics. It includes research in the focus areas Dynamical Systems and Algebraic/Differential/Stochastic Geometry. New developments in Data Science, such as Information Geometry and Geometric Deep Learning, or research in Computer Science and Artificial Intelligence on Geometric Computing and Shape Analysis are relevant as well. The current priority area "Fundamentals of the Universe" in which the Bernoulli Institute participates also finds a natural place here. We aim to maintain and even strengthen the leading role Groningen research in geometry plays in applications to number theory and to algebraic theory of differential equations.

• The groups that conduct research within the area Geometry and its applications are available here.

• Relevant projects in this area can be found here.