As you are saying that you are going to do a research work, I think you have to be cautious about that and choose topics that you really like. I am 19 and I like maths too. May be you can do something on number theory, locating maxima or minima in curves etc. For these things Mathematica is really an expert software. You can take help from this community, or from the learning material available for Wolfram Language. But remember, do only those things what YOU really want to do.
Best Wishes,
Suvadip.
