I'm in the process of finding a good list of statistics PhD programs to which I will apply in the coming months. My main plug for my application materials and essays is that I'm a strong expository writer with an interest in science communication (beyond just the usual things relevant to statistics). I consider my resume pretty strong overall, but my school does not have a big department with graduate course offerings in analysis or algebra or probability, etc. (Anything beyond the most vanilla upper level math courses I've had are through independent studies.)
I would appreciate any thoughts on the sort of program that would be a good fit for me. I care about program rank and prestige to some extent, but I am more fixated on studying somewhere in the Midwest or on the East Coast and ideally in a department that is large enough to have more than one research focus. Currently the schools which I am most excited about are Duke and Carnegie Mellon, but I am concerned that I am shooting too high with these. My naïve assumption is that schools like Penn State and Ohio State are more like my match.
Additionally, I would appreciate additional thoughts on my choices for recommenders. I am fortunate to have a number of professors in different places who I could ask for recommendations which I expect would be very strong, among them an applied statistics professor with whom I had an introductory sequence, a philosophy professor with whom I had a few intense upper-level philosophy courses, and an English professor with whom I have spent a lot of time through the Honors Program. At this point I have chosen to just ask three math professors for recommendations.
Thanks for your time!
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Type of Student: Domestic male
Undergrad Institution: Low-ranked, medium-sized public university known for engineering
Major: Mathematics, Applied Statistics, Philosophy
Minor: None; certificates in Writing and Financial Math; completion of the general Honors Program
GPA: 4.00
GREs:
General GRE (169 Quantitative / 166 Verbal / 6 Analytical Writing)
Mathematics GRE (NA due to cancellations)
Research Experience:
One Summer in Biostatistics (SIBS) program in data science at a very top school
One Research Experience for Undergrads (REU) program in coding theory at my home institution
One year of data science work for the campus writing center
Upper Level Coursework (Mathematics and Statistics only):
Completed
Introduction to Abstract Algebra (A+)
Advanced Calculus I (A+)
Mathematical Statistics (A+)
Design and Analysis of Experiments (A+)
Regression Analysis (A+)
Introduction to Applied Statistics I / II (A+ / A+)
Introduction to Topology (A)
Introduction to Probability (A)
Financial Mathematics (A)
Dynamical Systems (A)
Commutative Algebra (A)
In Progress / Anticipated
Advanced Calculus II
Advanced Linear Algebra
Measure Theory
Partial Differential Equations
Complex Analysis
Algebraic Geometry
References:
One from my REU advisor who I expect to strongly speak of my research and writing skills
Also my professor for Introduction to Abstract Algebra, Commutative Algebra, and Algebraic Geometry
One from a professor who I expect to very strongly speak of my competition and leadership experience
Also my professor for Financial Mathematics, Dynamical Systems, and Partial Differential Equations
One from a professor who I expect to strongly speak of my presentation and coursework-relevant abilities
Also my professor for Introduction to Topology, Advanced Calculus I / II, and Measure Theory
Other:
I received a department award for excellence in math that basically says I was #2 in the department last year
I have 13 A+ grades total, many outside of math
I have won a handful of writing awards for fiction and nonfiction
I helped organize a lot of department activities through Math Club leadership including colloquia and math competitions and have pretty much led our department at a bunch of competitions since sophomore year