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Can someone help me figure out my future path?

Posted: Thu May 18, 2017 5:54 pm
by Pointpizza
I will keep this short so helpful people aren't too burdened.

I am looking ahead to the future. I want to know how competitive I would be for masters/phds with the following coursework completed (not including the basics calc series, diff eq, linear algebra, intro to proofs). These are three options that I have.

Honors real&complex analysis (full year)
abstract algebra (full year)
1 term mathematical logic
1 year probability (calculus but not analysis prereqs)
grad course on discrete optimization
proof-based linear algebra course
four courses in computer science
grad mathematical statistics (stat department)

---------------------------- or ------------------------

real analysis honors (full year)
algebra honors (full year)
1 term mathematical logic
1 term complex analysis
grad course in introductory probability (requires analysis)
grad course in mathematical statistics (in stat department)
grad course in linear algebra
grad probability theory I
grad topology
grad real analysis

-------------------------or------------------------------------

abstract linear algebra
real analysis (full year)
abstract algebra (full year)
differential geometry
grad probability theory I
grad complex analysis I
grad Probability Theory II
grad course in linear algebra
grad course in Algebra
grad course in Real Analysis
grad course in Topology


These are courses that I would have for admissions decisions that go out in January++ (so I'm counting my fall the year I apply). I realize that it may seem like I have a lot of graduate courses in some of these. But these are opportunities that I'm being given - if it's too much then say so (I'm not taking every course at once). I know that there's no need to take every course before the PhD. I don't have a good opportunity to take an undergraduate course in topology, I don't know if that's going to be a big problem or not.

I'd be interested in doing a masters degrees first if need be. I'd also be wiling to leave the US. I'm going to a top 40 US school by the way, not sure how much that matters. I'm new to this so if I need a reality check please tell me - thanks.

Re: Can someone help me figure out my future path?

Posted: Fri May 19, 2017 2:33 am
by Tianma799
Have you decided to do pure or applied math?

Re: Can someone help me figure out my future path?

Posted: Fri May 19, 2017 3:27 am
by Pointpizza
I want to do pure math.