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My research interests are in areas related to analysis. Mostly, I am interested in problems in analysis of several complex variables, harmonic analysis and operator theory, and specifically the interaction between these subjects. Many of my research projects deal with extending results in complex and harmonic analysis to more variables. The Corona Problem in one and several complex variables has motivated more recent research projects. Additional projects have focused on questions in harmonic analysis with an emphasis on multi-parameter harmonic analysis and non-homogeneous harmonic analysis. All of my research papers can be accessed via the Arxiv preprint server. However, for the final version of the paper consult the journal where it is published. |
Portions of this research were supported by the National Science Foundation. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation or Washington University - St. Louis.