I have listed out my application below. I would also appreciate any suggestions on how I can improve my application for next year (if I decided to reapply):

**Undergrad Institution:**US News Top 10 National Universities

**Major(s):**Mathematics and Computer Science

**Minor(s):**N/A

**GPA:**4.0

**Math GPA:**4.0

**Type of Student:**Domestic Asian Female

**GRE Revised General Test:**(Did not take)

**GRE Subject Test in Mathematics:**(Did not take)

**TOEFL Score:**(xx = Rxx/Lxx/Sxx/Wxx) (if applicable)

**Program Applying:**Pure Math (Algebraic Geometry / Algebraic Topology)

**Research Experience:**

(i) Two REU programs and research with professors at home institution.

(ii) Three papers in algebraic geometry, two in submission and one is published on a good journal.

(iii) Two papers in applied mathematics and statistics, both in submission.

(iv) Currently working on an honors thesis (but not going too hot~).

(v) Talks at a few conferences.

**Awards/Honors/Recognitions:**One national award for undergraduate students for excellent research in mathematics.

**Pertinent Activities or Jobs:**TA / Grader for 10+ classes in Mathematics and Computer Science, including three graduate algebra courses. Worked as a SWE intern at a company on Fortune 500.

**Math Courses Taken:**10+ graduate classes in mathematics (Algebraic Geometry, Riemann Surfaces, Algebraic Number Theory, Algebraic Topology, Advanced Complex Function Theory, Partial Differential Equations, Algebraic Combinatorics, Modern Algebra, Commutative Algebra, Numerical Analysis, and more.) Independent studies in advanced topics on algebraic topology and differential topology. Directed reading in dynamical systems and harmonic analysis.

**Any Miscellaneous Points that Might Help:**Two of my letter writers are quite famous in their respective areas (algebraic topology and low-dimensional topology). My third letter writer is my REU mentor in (ii) on algebraic geometry. I also have two backup writers, one is a professor in Applied Mathematics I I worked with in (iii), and the other is a senior professor who I have been the TA for in several classes.

**Any Other Info That Might Matter:**I have a psychiatric disability, but I did not mention it all on my applications due to fear of being rejected.

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I would also be grateful if anyone has any ideas on why I was rejected by many of the top programs in mathematics. This is honestly a very defeating experience and is discouraging me from pursuing further career in mathematics.