The following are research projects I am doing simply for the sake of them, unaffiliated with anybody (except me, of course)!
Currently I am fascinated with the metaphysical justification of what is known as "hypercomputing" in some circles and "super-recursion" in others. I have also been reading papers on the more general topic of physical computation, including the notion of implementation/realization. I also enjoy digging into philosophical issues with the computational theory of mind.
I will also include in this section (possibly) my notes on difficult fiction such as this gem (@Chris do NOT open that link; it contains spoilers!). I tend to read metafiction, mathematically-inspired fiction, or fantastic laughs.
I also did research (if you aren't too elitist about the definition of 'research') during my undergraduate years. The bulk of this work was in equational logic with George McNulty.