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
Speakers:
Samuele Anni (Aix-Marseille Université)
Jennifer Balakrishnan (Boston University)
John Cremona (University of Warwick)
Céline Maistret (University of Bristol)
Steffen Müller (University of Groningen)
Filip Najman (University of Zagreb)
Pierre Parent (Université de Bordeaux)
Notes from the open problem session (by Maleeha Khawaja).
Schedule
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 |
| 9:30-10:30 |
Filip Najman: "Quadratic Points on Modular Curves" |
IAS |
| 10:30-11:30 | Coffee Break | |
| 11:30-12:30 | Contributed Talks | IAS |
| 12:30-14:00 | Lunch | |
| 14:00-15:00 |
Steffen Müller: "p-adic Arakelov theory and quadratic Chabauty" |
B3.02 |
| 15:00-16:00 | Coffee Break | |
| 16:00-17:00 | Samuele Anni - "On smooth plane models of modular curves" | MS.03 |
Thursday 7th December
| 10:00-11:00 |
David Zywina: "Serre’s open image theorem and families of modular curves" |
MS.04 |
| 11:00-11:30 | Coffee Break | |
| 11:30-12:30 |
Pïerre Parent: "Models for modular curves and some applications" |
MS.04 |
| 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 | |
| 15:00-16:00 |
Céline Maistret: "Local Arithmetic of Hyperelliptic Curves and Applications" |
MS.04 |
| 16:00-17:00 | Break | |
| 17:00-18:00 | Open Problem Session |
MS.04 |
| 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 |