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
proofbased 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.
Can someone help me figure out my future path?

 Posts: 7
 Joined: Sat Feb 25, 2017 8:01 pm
Re: Can someone help me figure out my future path?
Have you decided to do pure or applied math?

 Posts: 7
 Joined: Sat Feb 25, 2017 8:01 pm
Re: Can someone help me figure out my future path?
I want to do pure math.