giacomopope / i-sage-ny-days

Some resources to help beginners for the i-sage-ny conference 2024

I-Sage-ny Days

This small repo contains some notes and resources to aid newcomers to SageMath for I-sage-ny days.

Jupyter Notebooks

• General Tips: Some useful tips and tricks which are more about using Sage than doing mathematics with Sage
• Elliptic Curves: Intended to be the first proper chunk of reading / experimentation for attendees. Includes discussion of how to instantiate fields and rings as well as covering some basics of elliptic curves and Sage functionality.
• Isogenies: Building from the elliptic curve file, this gives an overview of how to compute isogenies and related functions using SageMath. This file compliments the first of the examples below.
• Hyperelliptic Curves: A small file with some basic functionality of hyperelliptic curves. The lack of depth in this file should motivate everyone to make some additions during this week!

Examples

During the first day of the event, two examples were given. The notebooks used in these examples are:

• Example One: Two isogenies between elliptic curves
• Example Two: Quaternion Algebras

Exercises

There are some extended exercises included below which can be used to practice the tips and tricks learnt within these notebooks.

I-Sage-ny days exercises