Mathematikon Entrance

Our Faculty is the academic home of researchers, teachers, and students of Mathematics and Computer Science. Its institutes and facilities are housed in the Mathematikon, pleasantly located on the Campus Neuenheimer Feld of Heidelberg University. Welcome!

Mathematikon Staircase

The Doctorate signifies a proven ability to conduct independent scientific research. Under the auspices of the Combined Faculty of Mathematics, Engineering and Natural Sciences, we confer the academic degree Dr. rer. nat. in the subjects of mathematics and computer science.

Mathematikon Library

Students interested in Mathematics, Computer Science, or an interdisciplinary field, pursuing a B.Sc., M.Sc., or M.Ed., and aiming for a career in research, teaching, or the private sector, will find here in Heidelberg a full range of first-class courses for a challenging and enriching educational experience in an intellectually stimulating environment with historical cachet.

Mathematikon Lobby

We seek to promote the interest in mathematics and computer science by organizing events for schools and for the broader public. Alumns and newcomers join in and contribute to shared knowledge and contacts.

home icon
envelope icon
Mathematikon from the North East
Mathematics and Computer Science — Research

Geometry and Dynamics

Geometry is concerned with spaces equipped with notions of distance, angles, areas, or related concepts. Typical examples consist of smooth manifolds equipped with Riemannian metrics and/or symplectic or contact structures. Symmetries of these space, for instance expressed by Lie group actions, give rise to rich dynamical systems. Conversely, geometrically or physically motivated dynamical systems typically lead to interesting geometric objects and questions. These symmetries resp. dynamical systems may be discrete or continuous.

Geometry and Dynamics in Heidelberg encompasses broadly speaking differential geometry, geometric group theory and symplectic and contact geometry. One focus lies on discrete subgroups of Lie group, corresponding representations varieties and deformation spaces of geometric structures. This has strong ties to hyperbolic geometry. Another focus lies on applying modern tools from symplectic geometry to Hamiltonian dynamical systems such as classical systems from celestial mechanics or magnetic systems but also to billiard type systems. To foster the various links and connections between these research directions we founded the Research Station Geometry & Dynamics at Heidelberg University. The aim of the Research Station is to facilitate fundamental research and to explore applications of geometry, topology and dynamics in other sciences. In this we closely collaborate the cluster of excellence STRUCTURES. With the Heidelberg Experimental Geometry Lab (HEGL), we create a research driven learning and teaching environment for students and strive to make our research accessible to a wide audience.

Working Groups and Research Leaders

Prof. Dr. Peter AlbersSymplectic Geometry

Mathematical Institute

Symplectic Geometry and Topology, Hamiltonian Dynamical Systems, Floer theory

Prof. Dr. Peter Albers
Prof. Dr. Anna WienhardDifferential Geometry

Mathematical Institute

Deformation spaces of geometric structures, Representation varieties, Positivity in Lie groups

Prof. Dr. Anna Wienhard
Jun.Prof. Dr. James FarreHyperbolic Geometry

Mathematical Institute

Hyperbolic 3-manifolds of infinite volume, Teichmüller theory, Dynamics on character varieties

Jun.Prof. Dr. Beatrice PozzettiGeometric Group Theory

Mathematical Institute

Anosov and maximal representations, (Complex) hyperbolic geometry, (Higher rank) Teichmüller-Thurston theory

Jun.-Prof. Dr. Beatrice Pozzetti
Dr. Anja RandeckerTranslation surfaces

Mathematical Institute

Finite and infinite translation surfaces, big mapping class groups, random walks on hyperbolic spaces

Dr. Anja Randecker
Dr. Dia TahaDynamical Systems

Mathematical Institute

Translation surfaces, continued fraction algorithms, computational mathematics

Last updated on Jul 12, 2022 at 2:51 PM