Research

Overview of my Research Area:

My primary research area is Functional Analysis and Operator Theory, and I also consider their applications to other branches of mathematical science. The theory of Hardy spaces of analytic functions in the complex unit disk, in particular, has played a central role in my work. Hardy spaces have been providing powerful tools for the development of Operator Theory, Operator Algebra Theory and Analytic Function Theory.

Current Research:

Many of my current research projects focus on the extension of classical Hardy Space Theory from one to several non-commuting variables. Multi-variable Hardy Spaces are now playing a similarly important role in the development of Multi-variable Operator Theory, several (commuting) variable analytic function theory, and Non-commutative Function Theory (and vice versa). Multi-variable Hardy Space Theory exhibits interesting new phenomena and connections to established fields of mathematics including Operator Algebra Theory, NC Algebra and Algebraic Geometry, and yet it retains the beauty and much of the essential structure of the classical theory.

Publications Presentations

Prof. Raphaël Clouâtre and Prof. Nina Zorboska share similar research interests in Operator Theory, Operator Algebra Theory and Complex Analysis.