Can a Spotty Academic Record Affect PhD Admissions in Mathematics?

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SUMMARY

The discussion centers on the impact of a poor academic record on PhD admissions in Mathematics. The individual has a spotty GPA due to multiple withdrawals and failing grades, yet has shown improvement in core mathematics courses at a top 15 university. They plan to take advanced courses such as Partial Differential Equations (PDE) and Differential Geometry, and anticipate a strong GRE score. However, the participant acknowledges a lack of motivation in less interesting subjects, which could hinder their graduate studies.

PREREQUISITES
  • Understanding of core mathematics concepts such as Analysis, Algebra, and Topology.
  • Familiarity with the PhD application process, including GRE requirements.
  • Knowledge of academic reference letter significance in graduate admissions.
  • Awareness of the challenges faced in graduate-level mathematics coursework.
NEXT STEPS
  • Research strategies for improving academic performance in less interesting subjects.
  • Learn about effective study techniques for advanced mathematics courses.
  • Explore how to cultivate strong relationships with professors for better reference letters.
  • Investigate the importance of independent studies and research experience in PhD applications.
USEFUL FOR

Prospective PhD students in Mathematics, academic advisors, and individuals seeking to understand the implications of academic performance on graduate admissions.

kilimanjaro
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Well, let me start with a bit of background info. My transcript is an absolute mess, I have dropped out twice (one withdrawal, and one semester of all F's). So basically I am finishing a 4 year degree in 5. Since my whole dropout phase I have been at 3 schools total, a community college, a local state university, and now I back at my original school, a well respected (top 15) school finishing up a pure math degree.

My GPA here is pretty poor, due to 16 hours of F's (all one semester). In terms of core coursework, things aren't so bad but still a bit spotty.

A: Analysis 1, Algebra 1, Probability, Topology, Linear Algebra, Vector Calc
B: Algebra 2, Knot Theory, Number Theory, Diff Eq
C: Complex Analysis

This semester I am probably going to get an A in Analysis 2 (measure & integration, hilbert spaces), A or B in an "applied linear algebra" class (mainly spectral theorem and applications to problems of physics) and a C in a numerical methods class.

I'm really lazy when it comes to some classes, if it doesn't interest me I have a bad habit of just not doing the work. That's a pretty gaping character flaw of mine. However, when I am interested in something I'm pretty dedicated to it, I think I would find phd level mathematics rewarding and would even be pretty good at it (relatively speaking... not a superstar but able to do good work).

Next semester I'm going to take the undergrad PDE and Diff Geometry courses, and I'll probably get A's in both of those.

I missed the GRE deadline so I'm going to apply next fall, but I expect I should have a pretty good score. So with the above mentioned grades, and 3 mediocre reference letters ("he was a top student in my class but I don't know much about the guy"), what sort of school should I be shooting for? I hope to be able to continue some independent studies this summer (if I manage to land a job somewhere around here) with a professor on topics in analysis & geometry, so it's possible that I could get at least one interesting letter.

If anyone read this far, I'd appreciate some advice. I'm probably going to go talk with a professor about this same issue to see what he has to say.

Thanks
 
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kilimanjaro said:
I'm really lazy when it comes to some classes, if it doesn't interest me I have a bad habit of just not doing the work.

This is a Big Red Flag. This will make life as a graduate student extraordinarily difficult, as you will almost certainly have to learn things that don't immediately interest you.
 

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