Profile Evaluation - Phd Math 2022

[aldoraine]

This is my first post here. Here we go:

From: India

Applying to: Pure Mathematics PhD

Interests: Stochastic analysis and stochastic processes.

Undergraduate Institute: Top 3 institute for pure mathematics

Undergraduate Major: Pure Mathematics and Theoretical Physics 

Undergraduate GPA:  overall - 9.5/10, math - 9.6/10

GRE General Test: Not taken yet (August 15 test date)
GRE Mathematics: Not taken (took a practice test but didn't do well. Preparing hard)

 

Undergraduate  relevant coursework with grades: Analysis 1,2 and 3 (10 in all three courses); Algebra 1,2 and 3(9,10 and 8 respectively); Probability theory (10); Calculus(10);Differential Equations(10); Stochastic Processes 1 and 2(10 in both); Complex Analysis(10); Topology(7?); optimisation(10)

 

Projects done in undergraduate: 

1. reading project in physics - read Lie groups, contractions etc.. This won't be relevant to my applications.

2. Summer project at top 1 university: In stochastic processes, mixing times, and read a paper by Diaconis. 

 

Masters institute: Top1 for probability and statistics 

I am in first year of my masters.

I am forced to take lot statistics courses as they are mandatory. I have taken only Advanced probability, measure theory and 2 analysis courses. I don't have a choice to take extra courses in first year.  I have done one reading project in Fourier series and functional analysis. Due to covid, there are no semester breaks between any semesters, professors are also not interested to give a project as most of the interaction is online.

By the time I will be applying I would have taken the following courses: Martingale theory, Functional Analysis, Ergodic theory. 

 

Last semester I am taking : Brownian motion and diffusions, Markov processes and martingale problems, Advanced functional analysis, Special topics in probability.

 

 

Do I have any chance for phd in USA? What universities should I aim for ? How can I make my profile stronger ?

Thank you in advance

 

 

 

 

[StatsG0d]

You should check out mathematicsgre.com, as this forum is really biased more towards statistics than math.