Menuja Perera

My research interests are several complex variables, pluripotential theory and real analysis. I am particularly interested in pluripotential theory associated with convex bodies P.

My Ph. D. thesis work focused on developing P-pluripotential theory, where Pis a convex body. In developing P −pluripotential theory, I focused on constructing and improving results in standard pluripotential theory, including the product set property for P −extremal functions, regularity results, a transformation rule associated with P−extremal functions and holomorphic mappings, and P −extremal functions associated with unions of sets.

I focused also on developing initial foundations of pluripotential theory associated with some non-convex bodies.