[GSoC2020] related to "Improve support of representation theory"

[Akihito Yoneyama]

Hi,

I'm second year graduate student of master course at Institute of Physics of the University of Tokyo, and I'll go on to doctoral course from this April.

I'm interested in "Improve support of representation theory (multiple projects)".


I'm usually doing research on Mathematical Physics related to the representation theory of affine quantum algebras and integrable systems, and I have already written two published papers associated them.
See my homepage about my achievements: https://akiyoneyama.github.io/homepage/
I was surprised the Dr. Scrimshaw is  actually a co-researcher of my co-researcher.

I have a experience to work as a full-time intern doing applied research on Machine Learning with Python, for two months.
Actually, when I usually do research, I mainly use Mathematica and I'm unfamiliar with Sage at the moment, but I think I can contribute the development of Sage by making use of my background and development experience with Python.


I understand, first of all, I have to setup the environment of the development of Sage and propose solutions for Beginner tickets.

I'm glad if you give me some advice about Beginner tickets to solve, from the perspective of my specialty.
Also, if there are some project you want to do this year, I want to know more concrete ideas about the project.

Best regards
Akihito Yoneyama

[Travis Scrimshaw]

米山さんへ、

2月で私は東京にいて国場先生と会いましたよ。会うことがないことは残念ですね。私が東京に行く来回に会って話す方がいいと思いますね。しかし残念ながらすぐに行きません。また尾角先生と会うことも素敵です。

Since you know Python, then learning Sage should be fairly easy as most stuff is implemented in Python. Yes, installing Sage and working on some simple tickets is a great way to start. I have some code for Specht modules that I have been meaning to get into Sage that could work as a first project. Other options would be implementing other common representations, such as the root system representation of a Coxeter group.

Some things I would like to see implemented are outlined in the project description, which can also include quantum group representations. A good portion of this project would require implementing the general infrastructure and classes for many of the common operations in representation theory. Feel to also propose any specific representations or constructions you would find useful for your research.

Let me know if you have any more questions. You can also email me directly too.

Best,

Travis