**Time:** MW, 10:30am to 11:45am
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**Location:** KAP 427

18 | October 31 | Tangent spaces and singularities | Notes |

17 | October 26 | Hypersurfaces and Krull's Hauptidealsatz | Notes |

16 | October 24 | Dimension and transcendence degree | Notes |

15 | October 19 | Noether normalization | Notes |

14 | October 17 | Bézout's theorem II; Finite morphisms | Notes |

13 | October 12 | Intersection numbers; Bézout's theorem | Notes |

12 | October 10 | Artinian rings | Notes |

11 | October 3 | Completeness of projective varieties | Notes |

10 | September 28 | The Segre embedding; separation | Notes |

9 | September 26 | Closed immersions | Notes |

8 | September 21 | Projective algebraic sets | Notes |

7 | September 19 | Gluing prevarieties; products | Notes |

6 | September 14 | Open subprevarieties and morphisms | Notes |

5 | September 12 | Sheaves of regular functions; algebraic prevarieties | Notes |

4 | September 7 | Localization and regular functions | Notes |

3 | August 31 | Irreducible components; morphisms of algebraic sets | Notes |

2 | August 29 | The Zariski topology and the ideal-variety correspondence | Notes |

1 | August 24 | Hilbert's Nullstellensatz | Notes |

0 | August 22 | Informal introduction |