<p>Hi everyone, </p>
<p>I just finished my jr year in an engineering school. My major is math. I spent my first 2 years at my home school. When I had basic math courses ( 2 semesters analysis, 2 semester advanced linear algebra, 1 semester problem solving and proofs, 1 semester differential equations, and multi and single variables calculus), I went to Penn State for the MASS program. Then, last semester, I was studying in BSM (budapest semester math) program. </p>
<p>I had done REU once last summer. The project we worked on was "cellular automata". My group wrote a paper which would be published this year. This summer, I'm doing REU at cornell. The project is about julia set and some dynamics. Hopefully, I will get something done this summer. Moreover, when I was in the MASS program, I worked on a research project about origami (hyperbolic paraboloid), and I got some results. I would go to MASS program again this Fall to finish this project. Also, when I was in BSM program, I took the quantum physics class. I typed the lecture notes for the professor. Well, the notes are not finished yet. However, my prof. and I are still working on it. He plans to finish it before spring semester, so he can use it as a textbook. I do not know if he ever plans to publish it or not. I just think that is good idea to practice writing math proofs when I type each lecture notes in LaTeX. It will be helpful for people who will take that class in the future, since that course does not have textbooks or reference for now. </p>
<p>I'm interested in fractal geometry, geometry related to origami, dynamical system, and mathematical physics (quantum physics and PDE ). I will apply for grad schools this Fall, so I do not know what schools have strong programs in those fields. Does anyone here know about any programs? </p>
<p>I have 3.87 as my GPA now. I do not know my MATH GPA, but it must be higher than 3.87. I really want to go to graduate school and be a professor in the future. I have not taken GRE general and subject tests yet, but I will take them soon. I hope that I can do well on them. I did make a list of school that I want to go to, but I'm not sure if I can get into them or not. Can anyone here give me some suggestions. Thanks. </p>
<p>List of school:
1. NYU
2. Columbia
3. MIT
4. Stony Brook
5. CUNY Graduate Center
6. Rutgers
7. Penn State
8. Brown
9. Northwestern
10. Yale
11. Cornell</p>