# Masterstudium im Bereich Algebraische Geometrie

## Master of Science in Mathematics

#### Lectures and Seminars

The Essen Seminar for Algebraic Geometry and Arithmetic is one of Germany’s top research groups in this area regarding quantity as well as quality. The renowned Institute for Experimental Mathematics completes its thematic range through additional subject areas of algebra and experimental and algorithmic methods. Therefore we are able to provide a Master degree program covering numerous aspects of all these fields.

Here is a list of COURSES.

#### Language of instruction

All courses are held in English unless German is favored by all participants and the lecturer.

Courses are generally held in English.

#### International Learning Environment

The Essen seminar has joined the **ALGANT** consortium. The consortium offers a two-year world-class integrated master course and a joint doctorate program in pure mathematics, with a strong emphasis on Algebra, Geometry and Number Theory. Both programs have received the Erasmus Mundus label.

#### Lecturers

Massimo Bertolini | Elliptic curves, Modular forms, $L$-functions, Regulators, Algebraic Cycles |

Ulrich Görtz | Langlands program, Shimura varieties, Moduli spaces of abelian varieties in positive characteristic |

Daniel Greb | Birational geometry, geometric invariant theory, Kähler geometry, moduli spaces |

Georg Hein | Moduli Spaces of Stable Vector Bundles on Curves and Surfaces |

Jochen Heinloth | Moduli stacks, Geometric Langlands program, Moduli spaces of Bundles |

Jan Kohlhaase | Representation theory of p-adic Lie groups, Arithmetic of p-adic Moduli spaces |

Marc Levine | Algebraic Cycles, Algebraic K-Theory, Motives |

Vytautas Paskunas | Representation Theory, Number Theory, p-adic Langlands program |

Johanes Sprang | Number Theory, Transcendence Theory |