Portrait.png Western Science

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 2021 working under the supervision of Harold Boas and am now a postdoctoral fellow in the Mathematics Department of The University of Western Ontario working with Rasul Shafikov.

My research area is the function theory of several complex variables. My original interest in the subject was in the function theory of square-integrable holomorphic functions—otherwise known as Bergman spaces—as well as boundary regularity of holomorphic mappings. This naturally led to an interest in the Bergman kernel function, the valuable $\bar\partial$-Neumann operator, and well as the so-called Wiegerinck problem: Is the dimension (as a vector space) of the Bergman space of a pseudoconvex domain infinite whenever it is nontrivial? It was on these topics which I wrote my dissertation. Since starting as a postdoctoral fellow at Western University, I have developed an interest in polynomial and rational convexity and their generalizations to Stein and complex projective manifolds.

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 March 22, 2024.