Dear David,
Welcome on board.
It is very good that you are already familiar with the SageMath
development process. To make all chances on your side, you
should start getting your hand on more serious SageMath
contributions. For example, you could write a class for
the (graded) algebra of quasi-modular forms for the full
SL(2,Z) with basic functionalities (eg q expansion,
derivation).
Feel free to open a tickets and put me in cc. Do not
hesitate if you need pointers.
Best
Vincent
Le 15/03/2021 à 15:47, David Ayotte a écrit :
Hello,
My name is David Ayotte and I'm a PhD student in mathematics at Concordia
University in Montreal. My research interests are within the field of
number theory. More precisely, I study modular forms and their
generalization to function field, which we call Drinfeld modular forms. In
the past (for my master thesis), I have also studied questions about
linking the class number of a quadratic imaginary field with modular forms.
Thanks to Sagemath and PARI/GP, I was able to do enlightening
experimentations that complemented my work greatly.
Recently, I started to work on this project of mine about a Sagemath
module. The goal of my project is to implement Drinfeld modules (which can
be seen as analogues of elliptic curves for characteristic p function
fields). Moreover, I am interested in writing functions about Drinfeld
modular forms. Here's my Github repo: drinfeld-modular-forms
<https://github.com/DavidAyotte/drinfeld-modular-forms>. Ultimately, I
would like to implement this functionality directly to Sagemath as there
are no such functionality yet. You can also refer to my Github page
<https://github.com/DavidAyotte> for more of my coding projects.
In summer 2017, I participated to the 1-week workshop Sage Days 87 where I
learned the basics of contributing to Sagemath. The goal of this workshop
was to develop the p-adics in Sagemath, which were lacking some
functionality at the time. During this workshop, I worked on some tickets
which were about fixing a bug or reviewing some contribution. Here's some
ticket I've worked on:
- #29330 <https://trac.sagemath.org/ticket/29330>: I reviewed this old
ticket recently (this weekend). It is about implementing the method
is_skew_hermitian() for matrices.
- #23473 <https://trac.sagemath.org/ticket/23473>: I fixed this bug: the
method is_one() would return "False" for Integers(1)(1) (which is the only
element of the zero ring).
- #23484 <https://trac.sagemath.org/ticket/23484>: I reviewed this
ticket about a bug.
- #20308 <https://trac.sagemath.org/ticket/20308>: I reviewed this
ticket about the Zeta function for schemes.
These small projects were a good introduction to the development of
Sagemath. I learned about the git trac command and how to do doctests.
However, I feel that GSoC would be a fantastic opportunity for me to tackle
a bigger project and gain more confidence about Sagemath developing as I
want to continue contributing to it thereafter.
Best regards,
David Ayotte
PhD Math Student at Concordia University, Mtl
github.com/DavidAyotte
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