I lost my wiki password but I am willing to propose to mentor on the following topics. I would welcome in anyone assisting me in the mentoring.
1) Zariski closures of finitely generated matrix groups Mentor: Vincent Delecroix + (?) Area: Algebra Skills: Group theory, Lie algebras, Number fields, familiarity with Python and GAP Length: 175 hours and 350 hours variants Difficulty: Medium-hard Finitely generated matrix groups over the rationals (or more generally over number fields) appear in number theory (diophantine equations) as well as in geometry (holonomy of flat connections). An important invariant of such group is its Zariski closure: the smallest algebraic group it is contained in. The goal of this project is to write an algorithm to compute this Zariski closure using linear algebra in the Lie algebra of the ambient group. 2) genfun Mentor: Vincent Delecroix + (?) Area: Algebra, Combinatorics Skills: Linear algebra, polynomial ring and power series, ODE, familiarity with Python Length: 175 hours and 350 hours variants Difficulty: Medium-hard genfun is a Maple library developed by B. Salvy (https://perso.ens-lyon.fr/bruno.salvy/software/the-gfun-package/). Equivalent features are available in SageMath (some of them in plain SageMath and others in the C-library flint or SageMath library ore_algebra). The goal of this project is to write an interface to these SageMath tools using the standardized names from genfun. Additionally, there we expect the developer to write a document explaining how each function call in genfun can be replaced by standard SageMath computations. In the course of the project, it is likely that the developer has to implement additional interface to the C-library flint. We also expect the developer to identify critical features that are missing in SageMath in order to propose a complete open source alternative for genfun integrated in the SageMath environment. Best Vincent On Tue, 18 Feb 2025 at 05:12, Travis Scrimshaw <tcscr...@gmail.com> wrote: > > Hi everyone, > It would be good if people added more project ideas and/or be willing to > be listed as a mentor. Google is looking more closely at what mentor orgs are > putting in their ideas pages, and right now it looks like we do not have many > mentors this year. It would be great to improve this. > > Best, > Travis > > On Friday, February 7, 2025 at 10:02:04 AM UTC+9 Travis Scrimshaw wrote: >> >> Thanks, I've added you as a potential mentor there. >> >> Best, >> Travis >> >> On Thursday, February 6, 2025 at 7:04:19 PM UTC+9 axio...@yahoo.de wrote: >>> >>> I'd be happy to co-mentor the diagram algebra project (where I know a >>> little bit of the mathematics), and also the free module project. >>> >>> Martin >>> On Thursday, 6 February 2025 at 00:38:30 UTC+1 tcsc...@gmail.com wrote: >>>> >>>> Some other points I should mention: >>>> >>>> - Google will probably start looking at proposals after Feb. 11, so it >>>> would be good to have the projects listed before then. However, this is >>>> not a hard deadline and you are welcome to add project ideas at any time. >>>> - If you are not able to edit the wiki page, you can simply post the idea >>>> here. >>>> - The idea does not have to be very concrete. It is ultimately the >>>> responsibility of the contributor submitting the proposal to construct the >>>> project. Of course, the more precise/concrete, generally the better. You >>>> should also be somewhat available to provide feedback on projects. >>>> - Being a mentor can be a relatively low-time commitment of 1-2 hours / >>>> week. This depends on the student, how you mentor, and how much time you >>>> want to spend. >>>> - You do not have to be listed as the mentor on any idea you propose. >>>> >>>> Best, >>>> Travis >>>> >>>> On Thursday, February 6, 2025 at 8:31:59 AM UTC+9 Travis Scrimshaw wrote: >>>>> >>>>> Hi everyone, >>>>> I have submitted the application for SageMath to be involved with this >>>>> year's GSoC program. In order to make our participation in the program >>>>> successful and rewarding, as well as an important part of being selected >>>>> as a mentor organization, I need you to submit project ideas on our GSoC >>>>> 2025 page: >>>>> >>>>> https://wiki.sagemath.org/GSoC/2025 >>>>> >>>>> We need to have a diverse set of projects to attract good students, and >>>>> this is a good opportunity for you to get help with completing some code, >>>>> project, or feature that you've always wanted. You do not need to be an >>>>> experienced developer to be a mentor as someone who does have experience >>>>> can co-mentor to help with the technical details (I can do this for >>>>> instance for 1-2 projects). So feel free to ask your colleagues for ideas >>>>> and/or if they are willing to teach someone the underlying mathematics! >>>>> >>>>> Let me know if you have any questions. >>>>> >>>>> Thank you, >>>>> Travis > > -- > You received this message because you are subscribed to the Google Groups > "sage-devel" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-devel+unsubscr...@googlegroups.com. > To view this discussion visit > https://groups.google.com/d/msgid/sage-devel/a7ab0de6-2741-4ddc-888f-b6f8927470ddn%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/sage-devel/CAGEwAAmEr%3DV3nvcB2YRC6n_dCpXEJh1Mb-_%2BTkU7YnuDN%3D_qEw%40mail.gmail.com.
