David Hilbert 1900. The famous 23 "Jahrhundertprobleme" (problems of the century) which he established 1900 are not all solved to this day.

Research

Mathematical research priorities at the university of Göttingen

The mathematical research in Göttingen has a great tradition.
Many basic mathematical theorems and objects are named after mathematicians who acted in Göttingen,
for example *Hilbert's Nullstellensatz*, *Riemann's integral* and *Noetherian's ring*.

Nowadays as well, the mathematical research in Göttingen has a big value. There are two foundation-oriented research priorities (SP 1,2), two application-oriented research priorities (SP 3,4) and a research group in didactics:

SP 1: Modern geometry | |

Area of research |
Team |

Mathematical physics and non-commutative geometry | Dorothea Bahns |

Algebraic geometry | Frank Gounelas |

Non-commutative geometry | Ralf Meyer |

Gauge theory | Viktor Pidstrygach |

Topology and geometry, geometry and analysis, K-theory of group C*-algebras | Thomas Schick |

Analysis of partial differential equations | Ingo Witt |

Differential geometry | Chenchang Zhu |

SP 2: Number theory | |

Area of research |
Team |

Analytical number theory | Jörg Brüdern |

Geometric group theory | Laurent Bartholdi |

Number theory and discrete mathematics | Harald Andrés Helfgott |

Algebraic and algorithmic number theory, pattern recognition | Preda Mihailescu |

Analytical number theory | Samuel J. Patterson |

Analytical number theory | Damaris Schindle |

Arithmetical geometry, Drinfeld modules | Ulrich Stuhler |

Arithmetical geometry | Evelina Viada |

SP 3: Numerical and applied mathematics | |

Area of research |
Team |

Inverse problems | Thorsten Hohage |

Integral equations and inverse problems | Rainer Kreß |

Numerical methods for PDEs | Christoph Lehrenfeld |

Numerical methods for partial differential equations | Gert Lube |

Optimization and inverse problems | Russell Luke |

Mathematical signal and image processing | Gerlind Plonka-Hoch |

Scientific computing, approximation, meshless methods | Robert Schaback |

Applied mathematics in the natural sciences | Anne Wald |

Discrete differential geometry | Max Wardetzky |

SP 4: Mathematical stochastic | |

Area of research |
Team |

Statistics on Non-Euclidean Spaces | Stephan Huckemann |

Applied and Mathematical Statistics | Axel Munk |

High-dimensional Inference | Daniel Rudolf |

Spatial Stochastics | Dominic Schuhmacher |

Applied Stochastics | Anja Sturm |

Mathematics Education | |

Area of research |
Team |

Mathematics Education | Sebastian Bauer |

Mathematics Education | Stefan Halverscheid |

This and other research happens in the context of coordinated programs, cf. the link to cooperations.