Hello,

I am interested in working on the project about implementing Mark van 
Hoeij's algorithm to factor linear ODE's. Currently, I am a fourth year PhD 
student in the Math Department at George Washington University (Washington 
DC, USA). My research area is in low dimensional topology, which has not 
much to do with Differential Galois theory. I am very interested, however, 
in learning more about it, and even possibly doing future work related to 
differential Galois theory for PDE's. 

I looked at the SPAD language (in particular the Pascal's Triangle example 
on http://axiom-wiki.newsynthesis.org/PascalTriangle) and am confident that 
I could get up to speed using it pretty fast. Reading and understanding the 
necessary parts of Hoeij's thesis would probably be more time consuming, 
but I think it would be a really interesting way to spend the Summer.

I would have contacted you earlier, but I have been very busy putting 
together another proposal for Sage (also a Google Summer of Code 
organization). Would you please let me know if there is still interest on 
your part for this project.

Here is a little bit about my background: In addition to the coursework at 
my home university, I have taken coursework at the University of Maryland 
in Commutative Algebra, Geometric Analysis, Riemannian Geometry and 
Differential Topology. Most of my knowledge of ODE's comes from Lawrence 
Perko's Differential Equations and Dynamical Systems text (the first few 
chapters). Most of my knowledge of algebra (and Galois theory) comes from 
Dummit and Foote's graduate textbook.

Thank you,
Jason Suagee

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