Ramlal Debnath
Welcome to my homepage!
Welcome to my homepage!
Currently, I am a postdoctoral fellow at the Department of Mathematics, KTH Royal Institute of Technology, Stockholm. My mentor is Prof. Hakan Hedenmalm.
Currently, I am a postdoctoral fellow at the Department of Mathematics, KTH Royal Institute of Technology, Stockholm. My mentor is Prof. Hakan Hedenmalm.
Before this, I was an NBHM postdoctoral fellow at the Department of Mathematics, Indian Institute of Science (IISc). My mentor was Prof. E. K. Narayanan.
Before this, I was an NBHM postdoctoral fellow at the Department of Mathematics, Indian Institute of Science (IISc). My mentor was Prof. E. K. Narayanan.
Prior to this, I worked as an institute postdoctoral fellow under Prof. Bata Krishna Das at IIT Bombay.
Prior to this, I worked as an institute postdoctoral fellow under Prof. Bata Krishna Das at IIT Bombay.
I obtained my PhD in mathematics from the Indian Statistical Institute (ISI) under the supervision of Prof. Jaydeb Sarkar.
I obtained my PhD in mathematics from the Indian Statistical Institute (ISI) under the supervision of Prof. Jaydeb Sarkar.
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.
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.
Contact:
Department of MathematicsKTH Royal Institute of Technology, Lindstedtsvägen 25, Stockholm
Email: ramlaldebnath100 AT gmail DOT com or ramlal AT kth DOT se
Department of MathematicsKTH Royal Institute of Technology, Lindstedtsvägen 25, Stockholm
Email: ramlaldebnath100 AT gmail DOT com or ramlal AT kth DOT se