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 |

Non-commutative geometry | Ralf Meyer |

Gauge theory | Viktor Pidstrygach |

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

Lie theory | Henrik Seppänen |

Analysis of partial differential equations | Ingo Witt |

Differential geometry | Chenchang Zhu |

SP 2: Number theory | |

Area of research |
Team |

Analytical number theory, automorphic forms, L-series, quadratic forms | Valentin Blomer |

Analytical number theory | Jörg Brüdern |

Geometric group theory | Laurent Bartholdi |

Analytic number theory, group theory, additive combinatorics, Diophantine geometry, probabilistic number theory | Harald Andrés Helfgott (MI) |

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

Analytical number theory | Samuel J. Patterson |

Arithmetical geometry, Drinfeld modules | Ulrich Stuhler |

Arithmetical geometry | Evelina Viada |

SP 3: Numerical and applied mathematics | |

Area of research |
Team |

Inverse problems, resonances | Thorsten Hohage |

Integral equations and inverse problems | Rainer Kreß |

Numerical methods for PDEs (Finite Elements) | 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 |

Discrete differential geometry | Max Wardetzky |

SP 4: Mathematical stochastic | |

Area of research |
Team |

Statistical methods | Tatyana Krivobokova |

Statistics on Non-Euclidean Spaces | Stephan Huckemann |

Mathematical statistics | Axel Munk |

Mathematical statistics | Daniel Rudolf |

Stochastics and its applications | Dominic Schuhmacher |

Applied Stochastics | Anja Sturm |

Mathematics Education | |

Area of research |
Team |

Mathematics Education | Stefan Halverscheid |

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