## London School of Geometry and Number Theory (LSGNT)## Topics in Number Theory 2020/21 |
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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 organized by PK) and is taught collaboratively by academics in London. Each lecture is followed by a wrap-up session in which students (the owners) are in charge of organizing presentations where solutions to problem sets or aspects of the topic are discussed. A senior student (the supervisor) will be present at each wrap-up session.

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

Oct 14 | Owen Pataschnik | Counting points on varieties in characteristic p | E. Hollands | A. Di Lorenzo |

Oct 21 | Chris Birkbek | The Weil conjectures | R. Crumplin | L. A’Campo |

Oct 28 | James Newton | L functions | L.C. Kellock + M. Voskou | L. Wakelin |

Nov 11 | Netan Dogra | Elliptic curves and abelian varieties | F. Vigano + M. Workman | I. Solonenko |

Nov 18 | Fred Diamond | Galois representations | M. Benozzo + L. Philips | T. Ludenbach |

Nov 25 | Vladimir Dokchitser | From the Class number formula to the Birch-Swinnerton-Dyer Conjecture | W. Wawrow + A Constantinou | R. Carini |

Dec 2 | David Burns | An introduction to Iwasawa theory/special values conjectures | D. Liang | H. Tillmann-Morris |

Dec 9 | Payman Kassaei | Modular forms | S. Veneziale + I. Di Dedda | J. Daniels-Holgate |

Dec 16 | Alexei Skorobogatov | Diophantine Equations | J. Bell + P. Voegtli | A. Narayanan |

Jan 27 | TBD | TBD | B. Hevesi | A. Burton |

Feb 10 | TBD | TBD | W. Zhou | S. Karwa |

Feb 24 | TBD | TBD | D. Ulyumdzhiev | J. Pajwani |