Hi Patricio,

Being able to compute the Galois group of a polynomial would be nice.
I have no idea how you do that... Are there algorithms for that that
don't require computing expressions for the roots?

Another thing lacking in sympy is an implementation of finite fields
of non-prime order. Related issues:

https://github.com/sympy/sympy/issues/21104
https://github.com/sympy/sympy/issues/9544
https://github.com/sympy/sympy/pull/19593


Oscar

On Wed, 31 Mar 2021 at 18:02, Jason Moore <moorepa...@gmail.com> wrote:
>
> Patricio,
>
> Here's our starting point for new contributors: 
> https://github.com/sympy/sympy/wiki/introduction-to-contributing
>
> It sounds like you have in-depth knowledge so I'm sure you'll find nice holes 
> you can fill and grow.
>
> Jason
> moorepants.info
> +01 530-601-9791
>
>
> On Wed, Mar 31, 2021 at 3:42 PM JOSÉ PATRICIO SÁNCHEZ HERNÁNDEZ 
> <e.jpsanch...@go.ugr.es> wrote:
>>
>> I'm Patricio. I want to participate with the main goal of Sympy. So I want 
>> to collaborate to the implementation Computation of Galois groups for a 
>> given polynomial or I can collaborate with something else closed to my 
>> background. Then I'm here  looking for ideas.
>>
>> I have a PhD in Mathematics, specialized in modern algebra, ring theory, 
>> lattice theory and finite fields, a Bachelor’s degree in Applied 
>> Mathematics, and a Master’s degree in Science. Now I’m finishing a Master in 
>> Data Science. Before that, I was working as a postdoctoral researcher for 
>> two years in the Department of Algebra at the University of Granada. The 
>> project of the postdoctoral research was building Algebraic Error-Correcting 
>> Codes. I implemented in Python the codes and the algorithms that we builded. 
>> During this period I collaborated in writing 3 papers, in relevant journals, 
>> as Mathematische Zeitschrift, which published our paper Biseparable 
>> extensions are not necessarily Frobenius, where we answered a 20-Year open 
>> algebra’s problem. And most important, I wrote a paper on my own, On natural 
>> sets on an idiom, which is a hard and relevant task in pure maths, published 
>> in Communications in Algebra.
>> I have been working with python for about 2 years.
>> I have used  SymPy before but I'm more familiar with sagemath.
>>
>> Thanks in advance,
>>
>> Patricio
>>
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