My research interests is in the field of Operator Theory and Several Complex Variables. Specifically, Toeplitz and Hankel operators on Reproducing Kernel Hilbert spaces of holomorphic functions in Several Complex Variables.
I am a member of the Complex Analysis and Operator Theory Research Group in University of Toledo. Â Â Â
Preprints/Publications
(with Trieu Le and Sonmez Sahutoglu)Â On compactness of products of Toeplitz operators, submitted; arXiv:2401.04869 Â
(with Sonmez Sahutoglu) Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in $\mathbb{C}^n$, to appear in Proc. Amer. Math. Soc.; arXiv:2302.05013Â
(with Chanaka Kottegoda and Trieu Le) Square roots of weighted shifts of multiplicity two, Canadian Mathematical Bull . 66 (2023),no. 3, 791-807Â
Dissertation
Tomas Miguel Rodriguez, Compactness of Toeplitz operators on pseudoconvex domains in $\mathbb{C}^n$, Ph.D. thesis, University of Toledo