I'm new here and am getting nervous about getting in anywhere. Only 2 responses (rejections) so far. Any thoughts on my chances would be most appreciated. Thanks!

**Undergrad Institution: Top 50 (U.S), private. Top 75 in math.**

**Graduate Institution: Top 30 in math (U.S)**

**Major(s): BS in Mathematics**

**Major(s): MS in Mathematics**

**Undergraduate GPA: 3.81/4.0**

**Undergraduate math GPA:3.97/4.0**

**Graduate GPA:3.17/4.0 (this includes 2 Fs. Explained in SOP)**

**Type of Student:Domestic, Male (white)**

**GRE Revised General Test: None. Only applied to schools that didn't require it. Nearest testing center was 3 hours away.**

**Q:**xxx (xx%)

**V:**xxx (xx%)

**W:**x.x (xx%)

**GRE Subject Test in Mathematics: None**

**M:**xxx (xx%)

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

**Program Applying: Pure Math**(Interest in Number Theory)

**Research Experience:**None

**Awards/Honors/Recognitions:**Highest Distinction in Mathematics (undergraduate).

**Pertinent Activities or Jobs:**Adjunct math professor at local 4 year college for 2 years. Taught statistics, probability (with calculus), and teaching calc 1 and 2 for math majors. Also have 4+ years of tutoring work with company (for SAT, homework help, etc). Graduate teaching assistant for over 3 years. TA for abstract algebra, calc 1, calc 4. Grader for linear algebra, differential equations. Abstract algebra TA as an undergraduate.

**Math Courses Taken:**Graduate level: Abstract algebra, 3 commutative algebra, 2 algebraic number theory, linear algebra, measure theory, complex analysis, topology, algebraic topology, Galois cohomology. Undergraduate Level: Set theory, differential geometry, combinatorics, probability, etc.

**Any Miscellaneous Points that Might Help:**Passed 5 qualifying exams (1 more than necessary) while in previous PhD program. These are in algebra, linear algebra, topology, real analysis, complex analysis. I also have a solid programming/computer science background (python, java, machine learning, algorithms, data structures, theory of computation).

**Any Other Info That Shows Up On Your App and Might Matter:**I was in a PhD program for 4 years, but because of mental health issues (imposter syndrome), I never did research or talked much to professors. I quit with masters, failing 2 courses in my last year due to depression. In my SOP I talk extensively about these issues and my personal growth these past 5 years, including all the tutoring and teaching I've been doing. How I've changed and why I'm more mature and ready this time. I have 2 undergraduate recommenders (they may be the strongest as they knew me the most), one from grad school, and one is from chair of current school I adjunct for. For some schools, I attached a 20 page paper (more at the undergraduate level) I wrote myself (indicating it was on my own entirely, and not published). For most schools, this is just mentioned on my resume. Not sure if I should have done this.

I'm most worried about my 3.17 gpa (if they look closely at my transcript, it should look good barring the 2 Fs and a C as all other classes were mostly As, and some Bs). I'm also worried how they'd react to the whole depression thing and lack of any research despite being in a grad program for 4 years.

**Applying to Where:**

Top 20

U Michigan - pure math / Submitted by deadline

UT Austin - pure math / Submitted by deadline

Cornell - pure math / Rejected! 1/31

Brown - pure math / Rejected! 2/1

UPenn - pure math / Submitted by deadline

UW Madison - pure math / Submitted by deadline

Top 35

Rutgers - pure math / Submitted by deadline

Johns Hopkins - pure math / Submitted by deadline

Stony Brook - pure math / Submitted by deadline

Rice - pure math / Submitted by deadline

Ohio State - pure math / Submitted by deadline

U of Utah - pure math / Submitted by deadline

Top 75

Boston U - pure math / Submitted by deadline

U of Virginia - pure math / Submitted by deadline

U of Arizona - pure math / Submitted by deadline

U of Mass - pure math / Submitted by deadline

Emory - pure math / Submitted by deadline

UConn - pure math / Submitted by deadline