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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.

Dates: Wednesday 6 December - Friday 8 December, 2023

Location: Mathematics Institute, University of Warwick

Organisers: Elvira Lupoian, Samir Siksek

Notes from the open problem session (by Maleeha Khawaja).


Please find the abstracts listed in the Conference Booklet.

Registration will open at 9:00 on Wednesday and will take place in The Street (Zeeman Foyer).

All talks will take place in the Zeeman building.

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"

15:00-16:00 Coffee Break  
16:00-17:00 Samuele Anni - "On smooth plane models of modular curves" MS.03

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  

Open Problem Session

Problems (notes by Maleeha Khawaja)

19:00 Conference Dinner  Scarman Conference Centre

Friday 8th December

9:30-10:30 Contributed Talks B1.01
10:30-11:00 Coffee Break  
11:00-12:00 Maarten Derickx: "Conjectures of ranks of modular Jacobians and linear bounds on prime order torsion on elliptic curves" B1.01
12:00-13:30 Lunch  
13:30-14:30 Jennifer Balakrishnan: "Mock Rational Points in Quadratic Chabauty" D1.07
14:30-15:00 Coffee Break  
15:00-16:00 John Cremona: "Computing the isomorphism ring of an elliptic curves over a number field" D1.07