I am a graduate student in the department of mathematics at Louisiana State University. I study commutative algebras generated by classes of Toeplitz operators, under the guidance of Professor Gestur Olafsson.
Other than mathematics, I enjoy listening to music and reading. Ocassionally, I paint.
My research area is analysis, in particular, commutative algebras generated by Toeplitz operators.
In my joint paper with Prof. G. Olafsson, we show that the C*-algebra generated by Toeplitz operators on the Fock space over multi-dimensional complex plain with k-quasi-radial symbols, is commutative. We also show that the above C*-algebra is isometrically isomorphic to the C*-algebra of bounded functions on N_0^k that are uniformly continuous with respect to the square-root metric.
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