Research
Mathematical research has a long tradition in Göttingen. Many fundamental mathematical theorems and objects have been named after mathematicians who worked in Göttingen, such as Hilbert's zero theorem, the Riemann integral, and the Noetherian ring.
Intensive mathematical research continues to be conducted in Göttingen. There are two basic research areas (SP 1 and SP 2), two application-oriented research areas (SP 3 and SP 4), and a working group on mathematics education.
Research Areas
SP 1: Modern Geometry | Mathematical Institute (MI)
Modern geometry expands the concept of space in the visual world, considers basic concepts and structures of classical geometry from new perspectives, and develops abstract concepts for understanding them. To do this, it uses tools from other areas of mathematics, such as analysis and algebra.
| Research Area | Research Group |
|---|---|
| Mathematical Physics and Noncommutative Geometry | Dorothea Bahns |
| Algebra und Algebraic Geometry | Rainer Sinn |
| Noncommutative Geometry | Ralf Meyer |
| Differential Geometry and Gauge Theory | Viktor Pidstrygach |
| Topology and Geometry, Geometry and Analysis, K-theory | Thomas Schick |
| Coarse Geometry | Federico Vigolo |
| Analysis of Partial Differential Equations | Ingo Witt |
| Differential Geometry | Chenchang Zhu |
SP 2: Number Theory | Mathematical Institute (MI)
Number theory is a very old yet modern branch of mathematics that deals with the properties of numbers and number ranges, using numerous tools from modern mathematics. In terms of its applications, it is of great importance to computer science, among other fields.
| Research Area | Research Group |
|---|---|
| Analytic Number Theory | Jörg Brüdern |
| Analytical Number Theory and Harmonic Analysis | Damaris Schindler |
| Algebra und Discrete Mathematics | Lilian Matthiesen |
| Arithmetic Geometry | Evelina Viada |
SP 3: Numerical and Applied Mathematics | Institute for Numerical and Applied Mathematics (NAM)
Applied mathematics deals with the development and use of mathematical methods and models for applications within and outside mathematics. Numerical analysis is concerned with the development and analysis of algorithms for solving mathematical problems using computers.
SP 4: Mathematical Stochastics | Institute for Mathematical Stochastics (IMS)
Mathematical stochastics encompasses the fields of probability theory and mathematical statistics. Probability theory deals with the formalization, modeling, and investigation of random events, while mathematical statistics develops and investigates methods and procedures in statistics.
| Research Area | Research Group |
|---|---|
| Statistics on non-Euclidean Spaces | Stephan Huckemann |
| Applied and Mathematical Statistics | Axel Munk |
| Stochastics and its Applications | N.N. |
| Stochastics and its Applications | Anja Sturm |
Didactics of Mathematics
Mathematics education is the science of teaching and learning mathematics in primary and secondary schools. It combines theory and practice and is characterized by a particular diversity of methods.
| Research Area | Research Group |
|---|---|
| Mathematics and its Didactics | Lukas Markus Donner |
| Didactics of Mathematics | Stefan Halverscheid |