Thanks Martin for the suggestion. I think it would be nice to improve
the fricas interface as part of the project! (hint: you can help with
mentoring).

On Wed, 19 Feb 2025 at 16:25, 'Martin R' via sage-devel
<sage-devel@googlegroups.com> wrote:
>
> I would like to remark that, as far as I know, the guessing facilities of 
> gfun have a reasonable replacement which is available in sage through fricas. 
>  The last time I checked, this was more general and at least as fast than 
> it's maple counterpart.
>
> The one thing that would dramatically improve the situation here would be a 
> sane way to exchange data with fricas.
>
> Best wishes,
>
> Martin
> On Tuesday, 18 February 2025 at 08:17:13 UTC+1 vdelecroix wrote:
>>
>> 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 <tcsc...@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
>> >
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>> > https://groups.google.com/d/msgid/sage-devel/a7ab0de6-2741-4ddc-888f-b6f8927470ddn%40googlegroups.com.
>
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