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Modular Curves and their Arithmetic

This conference will bring together experts woking on modular curves and related areas. It will provide a platform for speakers to present recent work in the area and for participants to foster new collaborations.

Details can be found in the Conference Booklet.

Registration is now closed!

If you would still like to attend please email:

Dates: Wednesday 6 December - Friday 8 December, 2023

Location: Mathematics Institute, University of Warwick

Organisers: Elvira Lupoian, Samir Siksek


Please find the abstracts listed in the Conference Booklet

Wednesday 6th December

9:00 -9:25 Registration  
9:25-9:30 Welcome Remarks IAS

Filip Najman: "Quadratic Points on Modular Curves"

10:30-11:30 Coffee Break  
11:30-12:30 Contributed Talks IAS
12:30-14:00 Lunch  

Steffen Müller: "p-adic Arakelov theory and quadratic Chabauty"

15:00-15:30 Coffee Break  
15:30-16:30 Samuele Anni - TBC B3.02

Thursday 7th December


David Zywina: "Serre’s open image theorem and families of modular curves"

11:00-11:30 Coffee Break  

Pïerre Parent: "Models for modular curves and some applications"

12:30-13:30 Lunch  
13:30-14:30 Hwajong Yoo: "The rational cuspdial subgroup of $J_{0}\left( N \right)$" MS.04
14:30-15:00 Coffee Break  

Céline Maistret: "Local Arithmetic of Hyperelliptic Curves

and Applications"

16:00-17:00 Break  
17:00-18:00 Open Problem Session  
19:00 Conference Dinner  

Friday 8th December

9:30-10:30 Contributed Talks B1.01
10:30-11:00 Coffee Break  
11:00-12:00 Marteen Derickx: "Conjectures of ranks of modular Jacobians and linear bounds on prime order torsion on elliptic curves" B1.01
12:00-13:00 Lunch  
13:00-14:00 Jennifer Balakrishnan: "Mock Rational Points in Quadratic Chabauty" B3.03
14:00-15:00 Coffee Break  
15:00-16:00 John Cremona: "Computing the isomorphism ring of an elliptic curves over a number field" B1.01