Advice on finding math specialization

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SUMMARY

Graduating with a B.S. in Mathematics and seeking a specialization for graduate school is a common concern among students. It is essential to explore various subfields before committing to a specific area, as many students discover their interests during their graduate studies. Recommended resources include Steven Krantz's "A Mathematician's Survival Guide," which provides general advice for navigating graduate school. Ultimately, applying to institutions with diverse mathematical programs is advisable to maximize exposure to different areas of study.

PREREQUISITES
  • Understanding of fundamental mathematics concepts
  • Familiarity with graduate school application processes
  • Knowledge of various mathematical subfields
  • Ability to evaluate academic programs and faculty expertise
NEXT STEPS
  • Research different mathematical subfields such as topology, algebra, and analysis
  • Explore graduate programs with diverse mathematics offerings
  • Read Steven Krantz's "A Mathematician's Survival Guide" for insights on graduate studies
  • Connect with current graduate students to gain perspective on specialization choices
USEFUL FOR

Undergraduate mathematics students, prospective graduate students, and anyone considering a specialization in mathematics will benefit from this discussion.

dzza
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I'll be graduating in the fall with my b.s. in math and I'd like to continue on to graduate school. I would feel better about it though if I had a clue what particular area of mathematics I wanted to specialize in. So far, in my undergraduate career, I've gotten a good working overview of the fundamentals, but I've been exposed to very little motivation for 'what comes after' the basics.

I'd love to hear from someone who dealt with this issue himself/herself. Any book recommendations concerning the scope of some of these subfields might also be useful.

Also- I'm not aware of the usual sequence of events. Is it the case that most people know what their area of study will be before graduate school, or is it entirely possible to get a graduate degree just studying general mathematics as one does as an undergraduate, albeit at a higher level?
 
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I can recommend Steven Krantz's "A Mathematician's Survival Guide," for good general advice about grad school. However, I'm afraid that it doesn't really answer your question. In fact, I have not encountered a very clear answer to your question anywhere. On the one hand, it has been commonly suggested that one apply to schools that have strong programs in the area you'd like to specialize in. On the other hand, I've read that you won't really know what you want to specialize in until after you've been in graduate school for a while, so you should apply to a school with wide variety of subfields represented, and don't go in married to one particular area.

Perhaps Mathwonk will come along and educate the pair of us. :)
 

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