My research focuses on the study of the moduli space of codimension q-foliations in projective varieties. I study first order deformations and first order unfoldings, the singular locus, the Kupka variety (the scheme), and other things related to this situation.
I also like to code a little bit. Following that line we developed a differential algebra library, which is called DiffAlg, and works under Macaulay2. You may found it here.