Daniel,

You may or may not get much feedback at this late in the game. The
proposals are due tomorrow. You will also need to submit a patch to be
considered.

Here is our application info:
https://github.com/sympy/sympy/wiki/GSoC-2016-Student-Instructions

Best to type up whatever you can come up with on your own and get a patch
in ASAP!


Jason
moorepants.info
+01 530-601-9791

On Thu, Mar 24, 2016 at 5:26 PM, Daniel Nichols <[email protected]>
wrote:

> Hello! My name is Dan Nichols, and I am a graduate student in the
> mathematics PhD program at the University of Massachusetts Amherst. I'm
> working on applying for GSOC 2016 and I'm very interested in some of the
> SymPy projects, including the two ideas concerning polynomial
> factorization. I've done a lot of reading on this topic as a part of my
> thesis work, and this seems like a great opportunity to put that knowledge
> to a practical use.
>
> Before I submit my application, can I ask for some clarification about the
> goal of the idea "Multivariate polynomials and factorization
> <https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#multivariate-polynomials-and-factorization>"?
> I understand general-purpose factorization algorithms (e.g. Van Hoeij)
> which involve factoring over a finite field, hensel lifting, and then
> recombining factors with something like LLL. And I have read the 2004 paper
> by Bostan, Lecerf, etc. on applying this method to multivariate
> factorization. Is the main goal of the project just to improve the current
> implementation of the method in Wang's 1978 paper by using more efficient
> multivariate arithmetic and GCD? Or is the goal more generally to explore
> ways to improve SymPy's multivariate factorization?
>
> I notice from looking at factortools.py that multivariate factorization
> over finite fields is not implemented yet. As an additional goal of this
> project, it could be interesting to implement this, perhaps following the
> 1997 paper by Bernardin and Monagan. I'm also very interested in another
> project idea concerning univariate factorization over global fields
> <https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#univariate-polynomials-over-algebraic-domains>,
> so I will certainly apply for that one too. I have read Van Hoeij's paper
> on factoring over global fields and I think this would be a very useful
> project.
>
> Thanks very much for your help, and I hope to have a chance to contribute
> to SymPy this summer!
>
>      -Dan
>
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