Hi everyone, application season is practically over for me. I'm looking for remaining options. Any ideas are very welcome. I will put my personal profile below. Please help me. Thanks a lot!!!

Personal Profile

Undergrad Institution: Berkeley

Major(s): Math (So far I've finished 20 math classes and 20 physics classes; I'm not a physics major because I didn't do experiment class.)

Minor(s):

GPA in Major: 4.00

Overall GPA: 3.95

Length of Degree: (Are you graduating after 3, 4, or 5 years?): 4 years

Position in Class: (No numbers needed, but are you top? near top? average? struggling?): Top (Judging from Dean's list)

Type of Student: (Domestic/International, male/female, minority?) Chinese

GRE Scores : (revised or old version?) Revised

Q: 170

V: 165

W: 5.0

P: 990

TOEFL Total: (if applicable, otherwise delete this)

Research Experience: (At your school or elsewhere? What field? How much time? Any publications (Mth author out of N?) or conference talks etc...) Polarbear experiment on gravitational wave (this is a lesser known gravitational wave experiment, looking for B mode.). Perimeter Institute summer research: Topological phases; Reading program with math professor in Riemann surfaces; Reading program with math professor in 2D topological field theory and Frobenius algebras. Currently working with my supervisor at Perimeter Institute on some string theory stuff (well, still learning about string theory)

No REUs, since a lot of those require Green card with I don't have.

Awards/Honors/Recognitions: (Within your school or outside?) Dean's list

Pertinent Activities or Jobs: (Such as tutor, TA, SPS officer etc...) Grader for two math classes: differential topology and complex analysis

Any Miscellaneous Accomplishments that Might Help:

Special Bonus Points: (Such as connections, grad classes, famous recommenders, female or minority status etc...) O(20) grad classes, half of which in math; half of which in physics. Math training focused on geometry (differential topology, algebraic topology, algebraic geometry, Riemannian geometry, complex geometry, symplectic geometry, dynamical system: I've taken classes in all of the above areas with A and A+).

The letter from my supervisor at Perimeter should be good, although he's just a postdoc researcher.

Any Other Info That Shows Up On Your App and Might Matter: My proposed research direction is to study geometric aspects of entanglement entropy, mainly inspired by "It for Qubit" conference, which was held during my stay at Perimeter. I'm very interested in AdS/CFT correspondence, which via ryu-takayanagi formula gives a holographic derivation of entanglement entropy. I talked about this in my essay.