## Özlem Imamoglu: Catalogue data in Spring Semester 2019 |

Name | Prof. Dr. Özlem Imamoglu |

Address | Dep. Mathematik ETH Zürich, HG G 37.3 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 79 24 |

ozlem.imamoglu@math.ethz.ch | |

URL | http://www.math.ethz.ch/~oezlemi |

Department | Mathematics |

Relationship | Adjunct Professor |

Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|

401-0164-00L | Multilinear Algebra and Its Applications | 3 credits | 2V + 1U | Ö. Imamoglu | |

Abstract | Review of the basic concepts of linear algebra, including vector spaces, linear and multilinear maps. Introduction to tensors and multilinear algebra. | ||||

Learning objective | The goal of this course is to introduce the student to tensors, multilinear algebra and its applications. | ||||

Content | Review of linear algebra with emphasis on vector spaces and linear and multilinear transformations. Tensors of first and second order Higher order tensors. Multilinear maps and tensor products of vector spaces Applications of tensors. | ||||

401-4110-19L | Modular Forms Number of participants limited to 20. | 4 credits | 2S | Ö. Imamoglu | |

Abstract | The course will cover the basic properties of the classical modular forms | ||||

Learning objective | The aim is cover the classical theory of modular forms. | ||||

Content | Basic definitions and properties of SL(2,Z), its subgroups and modular forms for SL(2,Z). Eisenstein and Poincare series. L-functions of modular forms. Hecke operators. Theta functions. Maass forms. | ||||

Literature | A course in Arithmetic, by J.P. Serre Modular Forms, by T. Miyake Introduction to elliptic curves and modular forms, by N. Koblitz A first course in modular forms by F.Diamond and, J. Shurman | ||||

Prerequisites / Notice | Funktion theory and Algebra I & II are prerequisites. | ||||

401-5110-00L | Number Theory Seminar | 0 credits | 1K | Ö. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz | |

Abstract | Research colloquium | ||||

Learning objective | Talks on various topics of current research. | ||||

Content | Research seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students. |