PhD Reading Seminar

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. There will also be an opportuity for informal discussions on questions arising from research.

Due to the ongoing pandemic, we have suspended in-person meetings for this seminar for the remainder of WS 19/20 and SS 20. However, we now informally discuss papers occassionaly via Zoom.

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

   

Congruences for Taylor Expansions of Quantum Modular Forms

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 Joint
03.02.20 12:00 - 13:30 Fishburn numbers and Hikami's functions Josh Males

Special session - Vector-Valued Modular Forms

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

q-series and weight 3/2 Maass forms

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

Mini-seminar - Siegel Modular Forms

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

Research Talks

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

Periods - Kontsevich & Zagier

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