 On the modern piano in recent years Lubin has appeared both as a solo recitalist and concerto soloist.Lubin writes frequently on musical subjects.In his Ph.D. dissertation (1974), he pointed out that (1) a fruitful way of understanding 18th-century European music follows from the recognition that the composers of that era inhabited a special, abstract, communally shared harmonic space (nowadays sometimes called modulatory space) that existed independently of individual works; (2) that the internal features of this space underwent evolutionary change in the course of the 18th century; (3) that a graphic depiction of this space could be used as a map to trace the various routes composers used to navigate about in their cosmos, and that their designs for these routes constitute an important aspect of the effect and beauty of their large-scale works; and (4) that in the later 18th century, for reasons arising out of the geometry of key-relations employed by composers, their abstract background space took the form of a torus (donut).