# Rahul Pandharipande: Catalogue data in Spring Semester 2016

Name | Prof. Dr. Rahul Pandharipande |

Field | Mathematics |

Address | Professur für Mathematik ETH Zürich, HG G 55 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 56 89 |

rahul.pandharipande@math.ethz.ch | |

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

Department | Mathematics |

Relationship | Full Professor |

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

401-3146-12L | Algebraic Geometry | 10 credits | 4V + 1U | R. Pandharipande | |

Abstract | This course is an Introduction to Algebraic Geometry (algebraic varieties and schemes). | ||||

Objective | |||||

Literature | The main reference for the course is * Robin Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, Springer. For the exercises we will also use * Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer. There are also some very good texts that are freely available online. I recommend two of them: * J.S. Milne, Algebraic Geometry, http://www.jmilne.org/math/CourseNotes/AG.pdf (mainly about abstract algebraic varieties - schemes only appear in the very end) * Ravi Vakil, Foundations of Algebraic Geometry, http://math.stanford.edu/~vakil/216blog/ (quite abstract) Further readings: * I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag. * Ulrich Görtz and Torsten Wedhorn, Algebraic Geometry I, Advanced Lectures in Mathematics, Springer. * Jean Gallier and Stephen S. Shatz, Algebraic Geometry http://www.cis.upenn.edu/~jean/algeom/steve01.html | ||||

Prerequisites / Notice | Requirement: Commutative Algebra course. | ||||

401-5000-00L | Zurich Colloquium in Mathematics | 0 credits | W. Werner, P. L. Bühlmann, M. Burger, S. Mishra, R. Pandharipande, University lecturers | ||

Abstract | |||||

Objective | |||||

401-5140-11L | Algebraic Geometry and Moduli Seminar | 0 credits | 2K | R. Pandharipande | |

Abstract | Research colloquium | ||||

Objective | |||||

406-2303-AAL | Complex AnalysisEnrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 6 credits | 13R | R. Pandharipande | |

Abstract | Complex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem. | ||||

Objective | |||||

Literature | L. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co. B. Palka: "An introduction to complex function theory." Undergraduate Texts in Mathematics. Springer-Verlag, 1991. R.Remmert: Theory of Complex Functions.. Springer Verlag E.Hille: Analytic Function Theory. AMS Chelsea Publication | ||||

Prerequisites / Notice | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. |