<p>“Contemporary composition” covers a lot of possible ground. Are there any living composers in particular whose style you admire or seek to emulate? If so, do a bit of research and find out who taught them, where they may be teaching and where their students may be studying or teaching. That should help point you toward some programs and opportunities of interest. Also, check out the schools that people have recommended and find out who the composition teachers are there. Research them and listen to their compositions to see if what they are doing fits in with whatever it is that you define as contemporary composition. Realize that, with a few years of formal study under your belt, that definition could change a lot.</p>