## London School of Geometry and Number Theory (LSGNT)## Topics in Number Theory 2018/19 |
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Topics in Number Theory is a semester-and-a-half-long course taught every year to the first-year LSGNT students. This version of the course is designed by Fred Diamond and Payman Kassaei, and is taught collaboratively by academics in London. Each lecture is followed by a wrap-up session where a student (the owner) is in charge of organising presentations by students where solutions to problem sets, or aspects of the theory are discussed. A senior student (the supervisor) will be present at each wrap-up session.

## Date |
## Lecturer |
## Title |
## Owner |
## Supervisor |

Oct 3 | Alexei Skorobogatov | Diophantine Equations | Mirriam Norris | Benjamin Aslan |

Oct 17 | Eran Assaf | Counting points on varieties in characteristic p | Federico Bongiorno | Petru Constantinescu |

Oct 24 | Ana Caraiani | The Weil conjecturs | Mafalda Santos + Corvin Paul | Paul Van Hoften |

Oct 31 | James Newton | L functions | Chris Sulzdorf + Roberto Ladu | Matt Haberman |

Nov 7 | Andrei Yafaev | Elliptic curves and abelian varieties | Bruno Ricieri + Tom Sharpe | Sarah Nowell |

Nov 14 | Fred Diamond | Galois Representations | Jordan Hoffman + Qaasim Shafi | Hanneke Wiersema |

Nov 21 | Vladimir Dokchitser | From the Class number formula to the Birch-Swinnerton-Dyer Conjecture | Wendelin Lutz + Gabriel Micolet | Omri Faraggi |

Nov 28 | David Burns | An introduction to Iwasawa theory/special values conjectures | Dominik Bullach | Andrew Graham |

Dec 5 | Andrei Yafaev | Elliptic curves and abelian varieties II | Liam Stigant + John McCarthy | David Sheard |

Dec 12 | Payman Kassaei | Modular Forms | Jordan Docking + Jaime Mendizábal Roche | Johannes Girsch |

The wrap-up session of a lecture is held on the following Tuesday, 10-12 am, S4.23 Strand Building, Kings College London.