Ramlal Debnath

Currently, I am a postdoctoral fellow at the Department of Mathematics, KTH Royal Institute of Technology, Stockholm. My mentor is Prof. Håkan Hedenmalm.

My research interests are in multivariable operator theory and analytic function theory on the polydisc and ball, and their interplay in particular. More specifically, I am interested in dilation theory, reproducing kernel Hilbert spaces (such as Hardy spaces, Bergman spaces, Drury-Arveson spaces, de Branges-Rovnyak spaces, and model spaces), the structure of invariant subspaces, linear system theory, transfer function realizations, Nevanlinna-Pick interpolation problems, commutant lifting, and factorization problems.