## Emmanuel Kowalski: Catalogue data in Autumn Semester 2017 |

Name | Prof. Dr. Emmanuel Kowalski |

Field | Mathematics |

Address | Professur für Mathematik ETH Zürich, HG G 64.1 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 34 41 |

emmanuel.kowalski@math.ethz.ch | |

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

Department | Mathematics |

Relationship | Full Professor |

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

401-2000-00L | Scientific Works in MathematicsTarget audience: Third year Bachelor students; Master students who cannot document to have received an adequate training in working scientifically. Mandatory for all Bachelor and Master students with matriculation in the autumn semester 2014 or later. Directive Link | 0 credits | E. Kowalski | ||

Abstract | Introduction to scientific writing for students with focus on publication standards and ethical issues, especially in the case of citations (references to works of others.) | ||||

Learning objective | Learn the basic standards of scientific works in mathematics. | ||||

Content | - Types of mathematical works - Publication standards in pure and applied mathematics - Data handling - Ethical issues - Citation guidelines | ||||

Lecture notes | Moodle of the Mathematics Library: https://moodle-app2.let.ethz.ch/course/view.php?id=519 | ||||

Prerequisites / Notice | This course is completed by the optional course "Recherchieren in der Mathematik" (held in German) by the Mathematics Library. For more details see: http://www.math.ethz.ch/library/services/schulungen | ||||

401-2003-00L | Algebra I | 7 credits | 4V + 2U | E. Kowalski | |

Abstract | Introduction and development of some basic algebraic structures - groups, rings, fields. | ||||

Learning objective | Introduction to basic notions and results of group, ring and field theory. | ||||

Content | Group Theory: basic notions and examples of groups; Subgroups, Quotient groups and Homomorphisms, Sylow Theorems, Group actions and applications Ring Theory: basic notions and examples of rings; Ring Homomorphisms, ideals and quotient rings, applications Field Theory: basic notions and examples of fields; finite fields, applications | ||||

Literature | J. Rotman, "Advanced modern algebra, 3rd edition, part 1" http://bookstore.ams.org/gsm-165/ J.F. Humphreys: A Course in Group Theory (Oxford University Press) G. Smith and O. Tabachnikova: Topics in Group Theory (Springer-Verlag) M. Artin: Algebra (Birkhaeuser Verlag) R. Lidl and H. Niederreiter: Introduction to Finite Fields and their Applications (Cambridge University Press) B.L. van der Waerden: Algebra I & II (Springer Verlag) | ||||

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 | |||||

401-5115-00L | Informal Analytic Number Theory Seminar | 0 credits | 1K | Ö. Imamoglu, E. Kowalski, P. D. Nelson | |

Abstract | Research colloquium | ||||

Learning objective |