My research has spanned topics in algebraic geometry, theoretical physics and string theory. In particular, I have focussed on the foundations of algebraic supergeometry with application to superstring theory. The general direction of my research has been toward developing a Hodge-type theory for variations of superstructures on manifolds and algebraic spaces. My doctoral thesis is hosted online. Go: .
Further research directions include exploiting techniques in supersymmetric quantum mechanics in solving classes of partial differential equations. Supersymmetry, if it is an apparent symmetry of the equations, ought to provide for computationally fast, numerical solutions. Or so I reckon.
Please see below for my latest research statement and publication list.