My research area is the function theory of several complex variables. More specifically I am interested in $L^2$-spaces of holomorphic functions–otherwise known as Bergman spaces–as well as boundary regularity of holomorphic mappings. Naturally, this leads to an interest in the Bergman kernel function and the $\bar\partial$-Neumann operator. I also have a strong interest in the Wiegerinck problem: Is the dimension (as a vector space) of the Bergman space infinite whenever it is nontrivial?

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