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  • One way would be to publish with a colleague who has the know how, a former teacher. Publish something on magazines, local magazines.
    – Robert
    Commented Apr 15, 2016 at 17:35
  • This seems rather strange advice to me, at least for someone familiar with graduate programs in the U.S. That said, you can find a lot of examples of suitable journals and examples of possible research topics in Thomas J. Osler's list of papers, many of which I believe he co-authored with his undergraduate students. Commented Apr 20, 2016 at 16:16
  • @DaveLRenfro He had more advice that you would probably consider more typical, but this was the piece of advice that wasn't as straightforward for me. The other big piece of advice he gave me was to take another semester of each Algebra and Analysis. Is that more typical advice? Would you say that my effort would be better spent on other aspects of my application? Thank you for the link.
    – ShawSa
    Commented Apr 20, 2016 at 18:31
  • Taking another semester of algebra and analysis is much better for you. For one thing, there is little risk of failure, unlike research which could wind up not going anywhere even if you put in a lot of effort. For another thing, you have the opportunity to do VERY WELL, which would look very good on your application as well as allow one or two teachers to write a very positive recommendation for you. Commented Apr 20, 2016 at 18:44
  • @DaveLRenfro You make an excellent point; it would be risky. I think I've been interested in pursuing it since I have some time to kill before the classes start, but I could instead take that time to prepare for those classes. I've reread the email, and I the advice was to participate in research. That may be a little more realistic than publishing. Either way, I think I'll take your advice and put my effort toward preparing for those classes. Thank you for the advice.
    – ShawSa
    Commented Apr 20, 2016 at 19:17