# Blake J. Boudreaux

## Department of Mathematics

Position: Postdoctoral Fellow
Office: Middlesex College 121
E-mail: bboudre7@uwo.ca

I received my PhD from Texas A&M University in August 2021 and now am a postdoctoral fellow in the Mathematics Department of The University of Western Ontario working under the supervision of Rasul Shafikov.

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? I’ve also recently taken up interests in rational convexity as well as holomorphic foliation theory.

This website was generated from Markdown using Hugo, an open-source static site generator, and is hosted on my GitLab. This page was last updated on October 17, 2022.