Research and interests.
Research and interests.
Currently I am studying deformed Gaussian systems and their Fock space representations. An ongoing project I have currently is the study of z-circular and z-semicircular systems.
Currently I am studying deformed Gaussian systems and their Fock space representations. An ongoing project I have currently is the study of z-circular and z-semicircular systems.
For my Master's, I wrote a paper which arrived at the structure theorem of finite-dimensional C*-algebras under purely algebraic hypotheses on a finite-dimensional *-algebra via geometry of projections. We studied two algebraic properties endowed to a *-algebra which allowed for the theorem to be obtained. From here we applied this structure theorem and the theory of projections to study the relative structure theory of an inclusion of two such *-algebras. You can read the paper here.
Also, here are some term papers I wrote for a couple of my courses during undergrad:
PMATH 833 – on paradoxical decomposition and the Banach-Tarski paradox
PMATH 451 – on Hausdorff measure and dimension