Hello Aditi,
I am Aleksandra Nowak from University of Warsaw, Poland, a Mathematics student with an interest on Computer Science and I am also interested in participating in GSoC under the mentorship of SymPy.
Have you already looked at the
ideas page? I think this is the best way to begin :) If you don't have your own idea, you should read carefully through the proposed ones. If any question arise, do not hesitate to ask here. I think it can be also useful to take a look at the
SymPy page.
Kind regards,
Aleksandra