Our PhD reading seminar is a more informal, discussion-based seminar where we read through selected papers as a collective. While the seminar is open to everyone, we are proposing "professor-free" sessions to keep the informal tone. Since we read through the papers together, we don't set a fixed agenda for each session, but simply continue with the paper as far as time allows.

During WS19/20 the seminar will be held on Mondays from 12:00 - 13:30 in Übungsraum 2 of the Mathematical Institute. There will also be an opportuity for informal discussions on questions arising from research.

For more information on the seminar please email Josh Males at jmales@math.uni-koeln.de.

We continue WS19/20 by discussing the above paper of Guerzhoy, Kent, and Rolen.

Date: | Time: | Title: | Discussion lead by: |
---|---|---|---|

02.12.19 | 12:00 - 13:30 | Introduction | Taylor Garnowski |

09.12.19 | 12:00 - 13:30 | "Good" functions and L-values | Taylor Garnowski |

16.12.19 | 12:00 - 13:30 | Congruences and the Habiro ring | Joint |

13.01.20 | 12:00 - 13:30 | Congruences for polynomials in L-values | Joint |

27.01.20 | 12:00 - 13:30 | Proof of Theorem 1.1 | TBA |

03.02.20 | 12:00 - 13:30 | Fishburn numbers and Hikami's functions | TBA |

On 28.10 we have a special talk on vector-valued modular forms, given by Markus Schwagenscheidt.

We start WS 19/20 by discussing the paper "q-series and weight 3/2 Maass forms" by Bringmann, Folsom, and Ono.

Date: | Time: | Title: | Discussion lead by: |
---|---|---|---|

07.10.19 | 12:00 - 13:30 | Introduction | Giulia Cesana |

21.10.19 | 12:00 - 13:30 | q-series and Lambert-type series | Josh Males |

18.11.19 | 12:00 - 13:30 | Applications | Josh Males |

Over the summer, we have a short introductory seminar series on Siegel modular forms, given by Christina Röhrig.

For two weeks we have some talks on current research in number theory.

Date: | Time: | Title: | Speaker(s): |
---|---|---|---|

27.06.19 | 12:00 - 13:00 | Generalisations of Period Polynomials | Steffen Löbrich & Markus Schwagenscheidt |

11.07.19 | 12:00 - 13:00 | Higher Green's Functions | Stephan Ehlen |

We start SS19 by discussing the paper "Periods" by Kontsevich & Zagier. Dates and the first few (tentative) topics are below

Date: | Time: | Title: | Discussion lead by: |
---|---|---|---|

15.03.19 (Friday) | 13:30 - 14:30 | Introduction to Periods | Jonathan Schürr |

22.03.19 (Friday) | 13:30 - 14:30 | Periods and Differential Equations I | Christina Röhrig |

29.03.19 (Friday) | 13:30 - 14:30 | Periods and Differential Equations II | Stephan Ehlen |

04.04.19 | 12:00 - 13:00 | Question session | - |

11.04.19 | 12:00 - 13:00 | Apéry's Differential Equation | Jonas Kaszian |

18.04.19 | 12:00 - 13:00 | Introduction to L-functions | Josh Males |

25.04.19 | 11:30 - 12:30 | Question session | - |

02.05.19 | 11:30 - 12:30 | Periods and L-functions | Jonathan Schürr |

09.05.19 | 11:30 - 12:30 | L-functions of Modular Forms and Periods | Christina Röhrig |

16.05.19 | 11:30 - 12:30 | Question session | - |

23.05.19 | 11:30 - 12:30 | Periods and elliptic curves | Joint |

30.05.19 (Bank holiday) | - | - | - |

06.05.19 | 11:30 - 12:30 | BSD Conjecture | Jonathan Schürr |

13.06.19 (Pentecost holiday) | - | - | - |

21.06.19 (Friday) | 15:30 - 16:30 | Colmez Conjecture and motives | Josh Males |