Fingers getting caught on the strings

[John Cohen]

I think the biggest factor holding my improvement back at the moment is the way my right hand middle and index fingers often get caught on or under the strings (especially the first) when plucking.  I've tried angling them different ways, reforming my right hand, and making a conscious effort to correct the problem.  While the rest of my technique and playing ability have improved, this problem remains the same and is quite frustrating since it slows down my playing and interferes with my timing.  Has anyone else had (and overcome) this problem?