I recently completed my PhD at the Deparment of Mathematical & Statistical Sciences, Universiy of Alberta with the supervision

of Dr. Vladimir Troitsky.

Research

My research interests are mainly in Functional Analysis and Operator Theory, in particular the invariant subspace problem. In my doctoral

research, I have been using the method of minimal vectors to find invariant subspaces and invariant order ideals for some classes of

bounded operators on ordered Banach spaces and Banach lattices.

I have also worked on a functional analytic model of Martingale Theoery. In this area of research, I am particularly interested in studying

the classical martingale theory from the perspective of Banach lattice theory.

Publications

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