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- Mar 10, 2012

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I'll soon be applying for Masters and PhD programmes in mathematics to universities in the US. I need help with my statement of purpose. I am not sure what I should put in it since I am largely self taught (in math) and have little

*formal*research experience. (Formal research experience means projects undertaken and internships). Please give your suggestions based on the following.

1. I am an undergraduate majoring in

**mechanical engineering.**I'll graduate in 2014 with a master's degree in mechanical engineering.

2. My B. Tech and M. Tech thesis both are on mech. engg. topics.

3. I have done exactly

**one**internship under a professor in mathematics. My guide for this internship has a PhD from UChicago and he has agreed to give me a strong letter of recommendation.

4. I have done Abstract Algebra, Computational Number Theory, Graph Theory and Linear Algebra courses at my institute. I have self studied a lot of undergraduate mathematics and I think my knowledge and skills (as an undergraduate) are decent.

5. I have not published anything in mathematics or in any other discipline.

6. My area of interest broadly is Graph Theory, Combinatorics and Algebra. I don't have any particular problem in mind right now on which I'd like to work during my PhD.

Any other advice regarding applications are welcome.