I am a sophomore undergraduate at IIT Bombay. I have a very strong  
mathematical 
background. I have spent the last one year exploring  various areas of 
theoretical computer science - from graph theory to communication complexity to 
streaming algorithms through various R&D  Projects. In the meanwhile I have 
collaborated with a friend on a  paper- http://arxiv.org/abs/1102.1636. 
Previous 
summer I spent Interning  at Affordable Solution Labs, IIT Bombay in building 
various tools for a Govt of India Project to advertise e-learning. The summer 
of 
2008, I  attended a nurture camp where topics in Group, Ring and Field Theory, 
Linear Algebra were introduced. And previous to that my summers were  spent in 
attending the International Mathematical Olympiad Training  Camp. Up to date I 
have written around 50000 lines of code mostly in  C++.

Are there any projects which I might be able to do (further considering  my 
inclination for theoretical computer science and algorithms and also  the fact 
that I am comfortable with C++ and to some extent JAVA and C),  taking  into 
account the constraint that I am a sophomore?

Thanks
Karthik
 

PS: I have not written even a line of code in python, however I have great 
affection for mathematics, logic and natural sciences.

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