The most recent paper on semanticsarchive: Donkey anaphora is simply binding by Chris Barker and Ken Shan.

Just found it, so I haven’t had a chance to do much more than just skim through it, but this is pretty exciting. Way back in my last year at USC in Elena Guerzoni’s semantics class, I had this fancy notion of using a variable-free/direct compositional approach to get donkey anaphora as binding. I’m pretty certain that my solution was way off (it involved tinkering majorly with the meaning of the relative pronoun), but I’m excited to see what Barker and Shan propose.